The answer to the equation would be the simplified equation of y = 3 / 8x - 4.
A mathematical statement that proves two mathematical expressions are equal is what an equation in algebra is defined as in its most basic form.
The equation given is a linear equation which means that it would normally take the form of :
y = MX + c
By taking the form, 3x - 8y = 32, the equation is in the form:
MX - y = c
This can be changed to become :
3x - 8y = 32
3 x - 32 = 8y
3 / 8 x - 32 / 8 = y
y = 3 / 8x - 4
Therefore, The answer to the equation would be the simplified equation of y = 3 / 8x - 4.
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The complete question is:
What is the solution of equation 3x - 8y = 32?
What is an equation of the line that passes through the points (- 4 7 and 2/8 )?
An equation of the line that passes through the points (- 4, 7) and (2, 8) is 6y = x + 31.
In the given question, we have to find an equation of the line that passes through the points (- 4, 7) and (2, 8).
The point-slope approach is typically used when two points that sit on a specific line are specified.
A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.
Firstly we find the value of m using the formula
m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
From the given points x(1) = -4, y(1) = 7, x(2) = 2, y(2) = 8.
Now putting the value
m = [tex]\frac{8-7}{2-(-4)}[/tex]
Now solving
m = [tex]\frac{1}{2+4}[/tex]
m = [tex]\frac{1}{6}[/tex]
Now we finding the equation of line. We can use any one point in the given points.
Now taking the points (2, 8), x(1) = 2 and y(1) = 8
Now putting the value in equation y - y(1) = m(x - x(1)).
y - 2 = [tex]\frac{1}{6}[/tex](x - 8)
Multiply by 6 on both side, we get
6(y - 6) = x - 5
6y - 36 = x - 5
Add 36 on both side, we get
6y = x + 31
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The complete question is:
What is an equation of the line that passes through the points (- 4, 7) and (2, 8)?
Gentiana is going to the movies to see Wakanda Forever. Her mom gave her $40 to spend. Gentiana uses $10 for her entrance fee, 25% on a slushie, 20 % on popcorn and the remaining on a pizza pie. How much money did the pizza pie cost?
Gentiana has $12 left to spend on the pizza pie as of the equation model.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Let the amount spend on pizza pie be x,
According to the question,
40 = 10 + 25% of 40 + 20% of 40 + x
40 = 10 + 40 × 0.25 + 40 × 0.20 + x
40 = 10 + 10 + 8 + x
x = 40 - 28
x = 12
Thus, Gentiana has $12 left to spend on the pizza pie as of the situation model.
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Charles has a collection of marbles. His ratio of red to blue marbles is 4 to 3. If he has 88 red marbles, how many blue marbles are there?
Charles has 66 blue marbles
The ratio of red to blue marbles is 4 to 3, which means for every 4 red marbles, there are 3 blue marbles.
We know Charles has 88 red marbles. To find the number of blue marbles, we can use the proportion:
(Number of red marbles) / (Number of blue marbles) = (4) / (3)
Since we know the number of red marbles and the ratio, we can solve for the number of blue marbles by multiplying both sides of the equation by the number of blue marbles:
88 / (Number of blue marbles) = 4/3
To find the number of blue marbles, we can cross-multiply and divide:
Number of blue marbles = 88 * 3/4 = 66
I hope this helps :)
1. 4x+8 = 4x +
What value could you write in the blank that would make the equation true for:
a) No values of x?
b) All values of x?
c) Just one value of x?
Therefore , the solution of the given problem of equation comes out to be 8 as it will make equation true.
The equation is who or what, exactly?When the equal letter (=) is used to indicate equality, a math equation like a formula connecting the two claims. Algebraic equations are statements of fact that show the equivalence of many mathematical variables. For instance, the values doc d + 6 or 12 are separated by an equal sign in the formula data logger + 6 = 12. How many syllables each side of each letter corresponds to can be expressed quantitatively. The message of a symbol frequently contradicts itself.
Here,
the formula 4x + 8 = 4x +?
Let's first make the expression simpler.
4x from each side is subtracted.
4x + 8 - 4x = 4x - 4x + ?
8 = ?
From the outcome, we must figure out the undetermined value for any x values that are not 8.
In this scenario, the unknown value can be any other value other than 8.
The needed value for the variable with all values of x must be 8.
There won't be a number after 4x for just single value of x because this is an impossibility.
Therefore , the solution of the given problem of equation comes out to be 8 as it will make equation true.
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Lola says these two expressions have the same value.
Expression A
Expression B
Left-bracket (StartFraction a Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0
Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4
Which explains whether Lola is correct?
Answer: Lola is incorrect. The two expressions have different values.
Expression A is (a/b)^(-4)^0 which is equal to 1, since any non-zero number raised to the power of 0 is 1.
Expression B is (a/b)^0^(-4) which is (a/b)^(-4) which is the reciprocal of (a/b)^4. They are different values.
In general, it's important to be careful with the order of operations when working with exponents and to be aware of the difference between a^b^c and (a^b)^c or a^(b*c) depending on the context.
Step-by-step explanation:
Can anyone please help me!!
Use the discriminant to determine the number of real solutions of the quadratic equation.
-4x^2 - 2x +1=0
Answer choices:
Zero
One
Two
SECOND Question:
Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)
24x^2 -30x +9=0
x=?
Number of real solutions of -4x²- 2x +1=0 is two
The value of x = 3/4 and 1/2
Quadratic Formula:A quadratic equation, or quadratics, is a polynomial equation with a maximum degree of two. It takes the following form: ax²+bx+c = 0.
The quadratic Formula is the formula that is used to find the roots or solution of a quadratic equation. For the standard quadratic equation, the ax²+bx+c = 0 quadratic formula is given by
x = [-b±√(b²-4ac)]/2aWhere, Discriminant, d = b²-4ac
8. Given equation -4x²- 2x +1=0
From the discriminant formula,
Discriminant, d = b² - 4ac
Compare given equation with ax²+ bx + c = 0
=> a = -4, b = -2 and c = 1
Discriminant, d = (-2)² - 4(-4)(1)
= 4 + 16 = 20
Since the discriminant is positive, the given equation will have two solutions.
9. 24x² - 30x + 9 = 0
Compare given equation with ax²+ bx + c = 0
=> a = 24, b = -30 and c = 9
From the quadratic formula x = [-b±√(b²-4ac)]/2a
x = [- (-30) ±√((-30)²- 4(24) (9)]/2(24)
x = [ 30 ±√900 - 864]/48
=> x = [ 30 + √900 - 864]/48 and x = [ 30 - √900 - 864]/48
=> x = [ 30 + √36]/48 and x = [ 30 - √36]/48
=> x = [ 30 + 6]/48 and x = [ 30 -6]/48
=> x = [ 36]/48 and x = [ 24]/48
=> x = 3/4 and x = 1/2
Therefore,
Number of real solutions of -4x²- 2x +1=0 is two
The value of x = 3/4 and 1/2
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the total volume of cubes n the container r is 8^7 cubic cm , the volume of each cube is 8^2 cubic cm ; how many cubes are in the container?
A 5^8
B 8^7 x 8^-2
C 8^-9
D 8^5
E 8^-7 x 8^-2
There are [tex]8^5\\[/tex] cubes in the Container.
What is Exponents and Power?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
Volume of Container = [tex]8^7[/tex] cm³
Volume of Each cube = 8² cm³
So, the number of cubes in the container
= Volume of Container / Volume of Each cube
= [tex]8^7[/tex] cm³ / 8² cm³
Now, using Exponents property
[tex]a^m / a^n= a^{m-n[/tex]
Then, number of cubes in the container
= [tex]8^7[/tex] cm³ / 8² cm³
= [tex]8^{7-2[/tex]
= [tex]8^5\\[/tex]
Hence, the number of cubes are [tex]8^5\\[/tex].
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answer pls loads of points available
Answer:
87
Step-by-step explanation:
it is 887
A factory produces 1,600 calculators in one day.They took a sample of those calculators and found that 3% were defective. What is the expected number of defective calculators produced that day?
The expected number of defective calculators produced that day is 48.
What is the expected number of defective?When a product doesn't meet the quality objective or results in a non-compliant situation, it is considered to be faulty. Based on the total observed items as well as the defective products, you may determine the defective rate. To compute the defect rate on your own, use the following formula. Divide the total number of faulty items by the total number of observed products using the formula. To find the defect rate %, multiply the result by 100.
r = (p / o) × 100
r being the defect rate
P stands for defective goods, and O for all observed goods.
O = P*r = 1600 * 3% = 48
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Give an example of a product of two powers that is the same as their sum. Explain how you came up with your example.
Keep the base constant and multiply the exponents when increasing a base with a power to another power.
what is exponents ?The quantity of times a number has been multiplied by itself is known as an exponent. To the third, for instance, is expressed as 23, which signifies that 2 x 2 x 2 = 8. 2 x 3 = 6 and 23 are not equivalent. Don't forget that a number raised to the power of one equals that number. Exponent is the process of representing huge numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6 6 6 6. 64 can be used to represent this.
given
as in: 81 Equals 8. By include exponents, a product of powers with similar bases (the same base number) can be made simpler.
Exponents must be added when multiplying numbers with the same base. Exponents laws. Keep the base constant when multiplying like bases and add the exponents.
When dividing using like bases, keep the base constant and deduct the exponents of the numerator and denominator.
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Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what oils the constant of proportionality?
a) Annie's Attic is giving away $5 off coupons.
Therefore , the solution of the question is given by the theorem of
constant proportionality comes out to be 1.5 .
Define constant proportionality.The proportion between any directly proportional quantities is the proportionality constant. If the growth and decline of two quantities occur at the same rates, they are directly proportional. When two quantities, y and x, are approximately equal to one another, the proportionality constant, k, is equal to their product, y/x.
Here,
Given :
=> original price : $15 ,$25,$35
=> sale price: $10,$20,$30
To find the proportional relationship :
=> 15/10 =1.5
=> 25/20 = 5/4 = 1.25
=> 35/30 = 7/6 = 1.16
Therefore , the solution of the given problem of constant proportionality comes out to be 1.5 .
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SCOOBY+DOOO=BUSTED;
FIND THE VALUE OF B+U+S+T+E+D ?
The value of B+U+S+T+E+D is 20. B represents the number 2, U represents the number 3, S represents the number 19, T represents the number 20, E represents the number 5, and D represents the number 4. When these numbers are added together, they equal 20.
BUSTED is an acronym for 'Believing Uncovering Solving Troubles Everywhere Dynamicly'. It is a popular phrase used by the characters in the Scooby-Doo cartoons. It is a phrase used to express the moment when the mystery is solved and the bad guy is caught.
BUSTED is an important part of the Scooby-Doo cartoon series. It expresses the moment when the mystery is solved and the bad guy is caught. It is also a great way to encourage children to believe in themselves and to use their own detective skills to solve a mystery. The value of B+U+S+T+E+D is 20, and it is a fun way to teach kids math and problem solving skills.
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there are x girls in a class, and their average height is m inches. in the same class, there are y boys with an average height of n inches. what is the average height of all the students in the class?
The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).
The average of any value is calculated by the formula -
Average = sum of the height of students ÷ total number of students
Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.
Sum of the heights of girls in a class = m × x
Sum of the height of boys in a class = n × y
Total number of students in a class = x + y
Keep the value in formula -
Average = (mx + ny)/(x + y)
Thus, average height is (mx + ny)/(x + y).
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Write a recursive formula for an, the nth term of the sequence 19, 15,11,7
The formula of the arithmetic progression for the sequence 19, 15, 11, 7 is a(n) = 19 - 4 · (n - 1), whose recursive formula is a(n) = 19 - 4 · (n - 1), a₁ = 19.
How to determine the recursive formula of an arithmetic progressions
Arithmetic progressions are sets of values generated by an expression of the form:
a(n) = a₁ + r · (n - 1)
Where:
a₁ - Index of the first element of the sequence.r - Common difference.n - Index of the n-th element of the sequence.And the recursive formula is:
a(n) = r · a(n - 1)
Where a(n - 1) is the n-1 th term of the sequence.
First, determine the first element of the sequence:
a₁ = 19
Second, find the common difference:
r = a₂ - a₁
r = 15 - 19
r = - 4
Third, write the complete formula for the arithmetic progression:
a(n) = 19 - 4 · (n - 1)
Fourth, write the recursive formula:
a(n) = a(n - 1) - 4
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what is the value of x 5x+2=22
Answer:
[tex]\bf x=4[/tex]
Step-by-step explanation:
[tex]\bf 5x+2=22[/tex]
Subtract 2 from both sides:-
[tex]\bf 5x+2-2=22-2[/tex]
[tex]\sf 5x=20[/tex]
Divide both sides by 5:-
[tex]\bf \cfrac{5x}{5}=\cfrac{20}{5}[/tex]
[tex]\bf x=4[/tex]
Therefore, value of x is 4!
______________________
Hope this helps!
Have a great day!
Answer: X= 4
Step-by-step explanation:
Just minus 2 on both sides so you get 5x=20. divide by 5 and then you get 4.
The term-to-term rule for a sequence is "subtract k " the 1st term of the sequence is 40 the 4th term of the sequence is 35.5
a. Find the 2nd and 3rd terms of the sequence.
The 2nd and 3rd terms of the sequence will be 38.5 and 37, respectively.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term is 40 and the fourth term is 35.5. Then the common difference is given as,
35.5 = 40 + (4 - 1)d
- 4.5 = 3d
d = - 1.5
Then the second term is given as,
a₂ = a₁ + d
a₂ = 40 - 1.5
a₂ = 38.5
Then the third term is given as,
a₃ = a₂ + d
a₃ = 38.5 - 1.5
a₃ = 37
The 2nd and 3rd terms of the sequence will be 38.5 and 37, respectively.
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2350000000 as standard form
Answer:2350 million
Step-by-step explanation:
hope this helps
Evan mowed the front and back yards at his grandmother's house. He finished mowing both yards in 63 minutes. Evan mowed the back yard for 1.4 times as many minutes as he mowed the front yard.
The time that it took Evan to mow the front yard was 26 .25 minutes.
How to find the time taken?Assuming that x is the time it took Evan to mow the front yard, the formula would be:
x + 1.4x = 63 minutes
This is because we know that Evan mowed the front and back yards in 63 minutes.
The minutes it took Evan to mow the front yard is therefore:
x + 1.4x = 63 minutes
2 .4x = 63
x = 63 / 2. 4
x = 26. 25 minutes
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The question is:
Evan mowed the front and back yards at his grandmother's house. He finished mowing both yards in 63 minutes. Evan mowed the back yard for 1.4 times as many minutes as he mowed the front yard.
How long did he take to mow the front yard ?
Determine the value of x in the figure.
The value of x in the figure is 5.
Find the value of x in the illustration.In the given figure, x represents the measure of the angle between the two lines.The sum of the measures of the angles in the triangle is 180 degrees.Therefore, by subtracting the sum of the other two angles from 180 degrees, we can determine the value of x.In the figure, the measure of angle ABC is 30 degrees and the measure of angle BCD is 120 degrees.Therefore, we can calculate the value of x by subtracting the sum of the other two angles from 180 degrees.180 - (30 + 120) = 50Therefore, the value of x is 50 degrees.The figure provided is a triangle with two angles labeled as x and 60 degrees respectively.The third angle is not labeled as it is known to be equal to 180 degrees minus the sum of the two other angles.Therefore, x must equal 120 degrees.To learn more about a two-dimensional triangle refer to:
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Demarco has a piece of frabric 6yd long. He uses a piece 3yd long.he cuts the rest into 3/4 long.how many 3/4 yd long strip are there
The required number of pieces Demarco does to the rest of the fabric is 4.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
here,
Demarco has a piece of frabric 6yd long. He uses a piece 3yd long.
Piece left = 6 - 3 = 3yd
Now, he cuts the rest into 3/4 long.
= length of rest piece/length of each piece
= 3 / [3/4]
= 4 pieces
Thus, the required number of pieces Demarco does to the rest of the fabric is 4.
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Lucy has a piece of wood that is 3/4 of a foot long. For the project she is completing, Lucy needs pieces of wood that are 1/16 of a foot long. How many pieces can she cut from the original piece of wood?
Therefore ,solution of unitary method is she can only obtain one piece of 18 foot board since she needs one that is 18 feet long.
What exactly is a unitary method?The amount of a tiny subset that exists must be calculated before multiplying that amount by two in order to complete a task utilizing the unitary variable approach. In order to isolate a standard programming value from a given set, the unit technique is used, to put it simply. For instance, the price of 40 pens is 400 rupees ($1.01), or Rs. It's feasible that the strategy used to achieve this will be controlled by just one nation. Almost every creature has a unique quality. It has the same capacities for reciprocity and integration (mathematics, algebra).
Here,
A wood board belongs to Lucy.
The board measures 34 feet long.
She intends to divide it into 18-foot chunks.
Let x denote the maximum number of wood boards that can be cut.
The formula 34 / 18 will indicate how many pieces will be cut.
=> 34/18
=> 1.888
x = 1.888
She can only obtain one piece of 18 foot board since she needs one that is 18 feet long.
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30% of 50_ is 15 this
Answer: Yes, answer is 15
Step-by-step explanation:
Another way to look at this is 50% of 30, or just 1/2 of 30.
The linear function
y
=
2
x
+
25
models the average cost of a haircut in a certain city, where
y
, is the average price of a haircut
x
years after 1985. Find the slope for the model. Then describe what this means in terms of the rate of change in the average cost of a haircut over time.
a)
m
=
2
b) The average cost of a haircut in this city increased (Enter: increased or decreased or not changed ) at a rate of per year after 1985.
Therefore , the solution of the given problem of function comes out to be $33 will be the price of haircut in 1997.
What is function?Mathematics is a science that investigates numbers, their variations, mathematics and the local tissues, shapes, and the both their actual and potential placements. Function describes the connection between a collection of inputs, each of which has an associated output. A function is an association domain of inputs that results in a single, distinctive output for each input. Each function is given a city or municipality or a scope, often known as a realm.
Here,
Given : c = 2y + 29
where c is the typical cost of the a haircut and
y is the number of years since 1995.
For the model, the slope is 2.
It implies that starting in 1995,
the average price of a haircut will rise by 2 each year.
=>1995 has y=0 and a cost of 29.
=> 1996's y=1 results in a cost of 29+2=31.
=>When y=2 in 1997, the price is 29+4 = 33, and so forth.
Therefore , the solution of the given problem of function comes out to be $33 will be the price of haircut in 1997.
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3. write the gcd of 3 and 4 as a linear combination of 3 and 4 in three different ways. (hint: trial and error.)
The three different ways are:
3*1 + (-1)*4 = 13*(-1) + 2*4 = 23*2 + (-2)*4 = 1The greatest common divisor (GCD) of 3 and 4 is 1, which can be expressed as a linear combination of 3 and 4 in multiple ways. The above expressions are three examples of how 1 can be represented as a linear combination of 3 and 4.
The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.The GCD of two or more integers can be found using various algorithms, such as the Euclidean algorithm, the binary GCD algorithm, and the extended Euclidean algorithm.
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While Sergeant Rote is sleeping, the power goes out. When the do
power comes back on, his digital clock resets to 12:00, then runs as e
usual. When he awakes at 6:05, his alarm clock displays 3:17. What
time did the power come back on at Sergeant Rote's house?
To determine the time the power came back on, we need to determine how much time has passed since the power went out and the alarm clock reset where the power came back on at 17.79 hours or 17 hours and 47 minutes (17:47).
What is meant by power outage?First, we know that when Sergeant Rote wakes up at 6:05, the alarm clock displays 3:17.Next, we need to determine how much time has passed since the alarm clock reset to 12:00. We can do this by subtracting 3:17 from 12:00.To subtract 3:17 from 12:00, we need to convert the minutes (17) to hours and minutes (0.28 hours or 16.8 minutes).12:00 - 0.28 hours = 11.72 hoursWe can convert 11.72 hours back to minutes by multiplying it by 60 (11.72 x 60 = 702.4 minutes)So, we know that 702.4 minutes have passed since the alarm clock reset.Now that we know how much time has passed since the alarm clock reset, we can add that time to the time when Sergeant Rote wakes up (6:05) to determine the time the power came back on.To add 702.4 minutes to 6:05, we first need to convert 6:05 to minutes (365 minutes)365 minutes + 702.4 minutes = 1067.4 minutesTo convert 1067.4 minutes back to hours and minutes, we divide it by 60 (1067.4 / 60 = 17.79 hours)So the power came back on at 17.79 hours or 17 hours and 47 minutes (17:47)To learn more about power refer:
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What is the 16-bit FP number representation of −5. 375 in hex with 1-bit sign, 4-bit biased exponent, and 11-bit fraction, where bias offset = 7?
The hex representation of −5.375 is 0xB3F8.
The 16-bit FP number representation of −5. 375 has a 1-bit sign, 4-bit biased exponent, and 11-bit fraction, where bias offset = 7. The sign bit is 1, which indicates a negative number.
The biased exponent is obtained by subtracting the bias offset from the actual exponent. For -5.375, the actual exponent is -3. Subtracting the bias offset of 7 from -3 gives the biased exponent of 4, which is represented in 4 bits as 0100.
The fraction is obtained from the mantissa, which is the significant digits after the decimal point. For -5.375, the mantissa is 0.375. This can be represented in 11 bits as 1111 000 00, which gives the hex representation of 0xB3F8.
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Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 61(0.95)*
In the exponential function y = 61 (0.95)^t, the change represents a decay.
The percentage of decay rate is 5%.
What is an exponential function?
The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
The given exponential function is -
y = 61 (0.95)^t
Here, it can be seen that there is a decay rate as the base value 0.95<1.
The percentage rate of decrease is 1-0.95.
Find the percentage decay rate as -
= 1 - 0.95
= 0.05
Convert it into percentage -
= 0.05 × 100
= 5 %
Therefore, the exponential function is a decay function with 5% decay rate.
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Which of the following is a monomiał (select all that apply)?
10xy
35x-3
-300.25
√xy
11
The first one 10xy is a monomiał, it is a product of one non-negative integer power of x and one non-negative integer power of y.
What do math monomials mean?
A monomial is a polynomial with a single term. A monomial is a type of algebraic expression that normally contains one term, though it can potentially include several variables and a higher degree. For example, 9x3yz is a single term when 9 is the coefficient, x, y, and z are the variables, and 3 is the degree of the monomial.
The second one 35x-3 is not a monomiał, it is a polynomial with one variable x and an exponent of 1 and a constant term -3.
The third one -300.25 is a monomial, it's a product of one non-negative integer power of -300.25
The fourth one √xy is not a monomial, it is a product of a square root and a variable y, which is not a non-negative integer power.
The last one 11 is a monomial, it's a product of one non-negative integer power of 11.
So the monomials are: 10xy, -300.25, 11
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what is 84.95 - 2.15 × (3.91 - 1.91) to the power of 3
Answer:
67.75
Step-by-step explanation:
[tex]84.95 - 2.15 \cdot (3.91 - 1.91)^3[/tex]
[tex]3.91-1.91=2[/tex]
[tex]2^3=8[/tex]
[tex]2.15\cdot8=17.2[/tex]
[tex]84.95 -17.2=67.75[/tex]
So, the final answer is 67.75
How to find roots of quadratic equation by factorisation method?
To find the roots of a quadratic equation by the factorization method, you can use the following steps:
Write the equation in standard form (ax^2 + bx + c = 0)
Factor the equation completely by setting it equal to zero and factoring out the greatest common factor.
Set each factor equal to zero and solve for the roots.
For example, to find the roots of the equation x^2 + 5x + 6 = 0, we can factor it as (x+3)(x+2) = 0.
To find the roots, we set each factor equal to zero and solve for x:
x + 3 = 0, x = -3
x + 2 = 0, x = -2
So the roots of the equation x^2 + 5x + 6 = 0 are -3 and -2.
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