The factors of the polynomial are (-3x+4)(x-2)
What are factors?A factor is a number that divides another number, leaving no remainder.
Given is a polynomial, -3x²+10x-8,
On factorization, we get,
= -3x²+10x-8
= -3x²+6x+4x-8
= -3x(x-2)+4(x-2)
= (-3x+4)(x-2)
Hence, the factors of the polynomial are (-3x+4)(x-2)
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Determine if events A and B are mutually exclusive.
P(A) = 3/10 P(B) = 9/20 P(A or B) = 3/4
a) mutually exclusive
b) not mutually exclusive
According to the given information in the question P(A) is mutually exclusive.
What are mutually exclusive events?
When two events are incompatible with one another, the specific addition rule is applicable in probability. It claims that the likelihood of either event happening is equal to the likelihood of each event happening individually. If two occurrences A and B are considered to be mutually exclusive, then P(A) + P(B) is the formula used to determine the likelihood that either event will occur (B).
Assuming that event A and event B are mutually exclusive event.
To prove: Aand B are mutually exclusive.
Condition:P(A or B)=P(A)+P(B)
P(A or B)=P(A)+P(B)
= +
=
=
=
=
=
P(A or B)=P(A)+P(B)
Therefore, the given equation satisfies the condition.
So, Event A and Event B are Mutually Exclusive events.
a)Mutually Exclusive.
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Janet wants to solve the equation y + StartFraction y squared minus 5 Over y squared minus 1 EndFraction = StartFraction y squared + y + 2 Over y + 1 EndFraction. What should she multiply both sides of the equation by?
Answer:
Step-by-step explanation:
The message is very cryptic like. The thing did not change like you wanted it to. Also, sorry for wasting ur points.
what is 8x +3 equal to
Answer:
8x+3 --> x = 8/3
8/3 is about 2.66
A pan of brownies was left
Answer:
i don't know i am ayush
kal
ajakka
kakka
I don’t know how to find angle q in this geometry question.
The required measure of m ∠Q is 46 degrees for the given figure.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
As per the corresponding angles property, we can write the equation would be as:
17x = 56 + (8x-2)
17x - 8x = 56 - 2
9x = 54
x = 6
Since m ∠Q = 8x-2
So substitute the value of x = 6 in the above equation,
Then, we get m ∠Q = 8(6) - 2 = 46 degree
Thus, the required measure of m ∠Q is 46 degrees.
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at a bakery, one customer pays $5.67 for 3 bagels and 4 muffins. Another customer pays $6.70 for 5 bagels and 3 muffins. Let x be the cost (in dollars) of a bagel and let y be the cost (in dollars) of a muffin. Which system of equations represents the situation above?
A. x + y = 7
x + y = 8
B. y = 3x + 5.67
y = 5x + 6.7
C. 3x + 4y = 6.7
5x + 3y = 5.67
D. 3x + 4y = 5.67
5x + 3y = 6.7
Answer:
Choice D
Step-by-step explanation:
x = cost of 1 bagel
y = cost of 1 muffin
3x + 4y = $5.67
5x + 3y = $6.70
(5)2 -1 simplify the following expression
Answer: 10-1 (9)
Step-by-step explanation: start with parentheses then subtract
Joe is creating a rectangular garden. The length is 2 feet more than its width. The area is 120 square feet. Find the original dimensions of the garden.
Show work.
The original dimensions of the garden are width of 10 feet and a length of 12 feet.
How to find the original dimensions of the garden?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Let's call the width of the garden w.
According to the problem, the length of the garden is 2 feet more than its width:
Length = w + 2
And the area of the garden is 120 square feet:
Area = Length * Width
Substituting the expression for Length from the first equation into the second equation:
Area = (w + 2) * w
Expanding the expression:
Area = w² + 2w
Setting the expression for the area equal to 120:
w² + 2w = 120
Expanding the expression to a quadratic equation:
w² + 2w - 120 = 0
Solving for w using the quadratic formula:
Factor the left side of the equation.
(w − 10)(w + 12) = 0
w − 10 = 0 or w + 12 = 0
w = 10 or w = − 12
Since width cannot be negative, the width is 10 feet.
Length = w + 2 = 10 + 2 = 12 feet.
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Which fraction is closest to 1/2
Answer:
2/4
Step-by-step explanation:
Usually when you times a fraction by 2 (both the top and the bottom number are timed by the same number) you can get the closest fraction.
Sonya measured the cover of the library book she was reading a length was 10 inches and the width was 5 inches
Answer: 15
Step-by-step explanation: add 10 to 5 and you get 15
List all the factors of 56 . Tell whether 56 is prime or composite. SaveStylesFormat Instructions giving 100 for people how answer it correct
Answer:
It is a composite number
Step-by-step explanation:
The factors are: 1, 2, 4, 7, 8, 14, 28, 56
Write and solve an equation to answer the question.
9 is what percent of 20?
=p⋅
Answer: 45%
Step-by-step explanation: Do 9 over 20. 9/20. Then compare to 100. (100 is on the bottom.) 20 x 5 = 100. Do the same for the top. 9 x 5 = 45%
how would I write an equation?
and what would my x and y represent?
The equation is x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.
How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.To learn more about equation refer to:
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45>32m–19 what is m on a number line
m<2 is on the number line of the inequality 45>32m–19
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 45>32m–19
Forty five greater than thirty two times of m minus nineteen
m is the variable in the inequality
45>32m–19
Add 19 on both sides
64>32m
Divide both sides by 32
2>m
m<2
Hence, m<2 on the number line of the inequality 45>32m–19
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Find the missing angle measures.
Answer: P= 30° & R= 60°
Step-by-step explanation:
First, you should find angle "R" as it helps find angle "P"
therefore:
R= 180°- 120°(angles on a straight line add up to 180°)
= 60°
P= 180°- ( 90°+ 60°) (Angles of a triangle add up to 180°)
= 180°- 150°
= 30°
The Problem
The population of a small mining town is given in the table below:
Year
1990 1993 1996 2000 2004 2008 2012
Population 4000 3010 2400 1950 1625 1400 1220
The decline in population is said to follow a logarithmic model where x = 1
represents the year 1990, x= 2 represents 1991, and so on.
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Si l
M
wwwww
1. Using a regression equation, estimate the population in 1995.
WAST
*****
2. An ore deposit is found near the town and experts forecast the
population will increase exponentially and reach 4000 again in 10 years.
a) Find an exponential equation that models this growth.
b) By what percent must the population increase each year for the
population to reach 4000 by 2022?
I
The resolution was found by the 13, or 13.3% over the ensuing ten years, and The example regression function is an equation that depicts how the variables Y and X are related (s)
How do you estimate the population regression model?[tex]$\begin{aligned} & Y_i=f\left(X_i, \beta\right)+e_i \\ Y_i & =\text { dependent variable } \\ f & =\text { function } \\ X_i & =\text { independent variable } \\ \beta & =\text { unknown parameters } \\ e_i & =\text { error terms }\end{aligned}$[/tex]
Year : 1990 1993 1996 2000 2004 2008 2012
Population : 4000 3010 2400 1950 1625 1400 1220
It is said that the population fall follows a logarithmic model, where x=1 corresponds to the year 1990, x=2 to the year 1991, and so on.
Along with the population, a table describing a tiny mining town's dwindling population is provided. The term "logarithmic model" refers to a model where x is 1 and symbolizes the year 99 on x is 1991. As we search for a solution, let's employ the regression equation.
The progression is used to project the population in 1995, and I'm going to use a calculator to do it. This wasn't a but a 1, and then this is 2, and then this is 3, and then this is 4, and then this is 5, and then this is 6, and then this is 7, and then this is 8, and then this is 9. By the.13, or 13.3% over the following ten years, the solution was found.
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Two angles are supplementary. The larger angle is 72∘ more than the smaller angle. Find the measure of the larger angle.
126°.
Two supplementary angles equal to 180°. If the larger angle is 72° larger than the smaller angle, simply add the two numbers with a gap of 72° in them.
126° + 54° = 180°
Find the measure in degrees and radians of the angle representing
of a circle.
what is management business
On a 28-question test, there are 2-point questions and 5-point questions. there are three times as many 2-point questions as 5-point questions on the test. how many 2-point questions are on the test?
Part A: Define the variables
Part B: Write a system of equations to represent the situation
Part C: Solve the system to find how many of each type of questions are on the test
a. The variables are 2-point questions for x and 5-point questions for y
b. The system of equations to represent the situation will be 4y = 28
c. The number of each type of questions that are on the test are 21 2-points questions and 7 5-points questions.
How to illustrate the variables?From the information, on the 28-question test, there are 2-point questions and 5-point questions. there are three times as many 2-point questions as 5-point questions on the test.
Let 2-point questions = x
Let 5-point questions = y
From the information, x = 3y
Therefore, the equations to represent the situation will be:
3y + y = 28
4y = 28
Divide
y = 28 / 4
y = 7
Number of 2-point questions will be:
= 7 × 3
= 21
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Explain why, when you roll a normal dice, the probability of getting a 2 1/6?
.
Find the number of distinguishable permutations of the letters IOWA.
Therefore , the solution of the given problem of permutation comes out to be 24 ways to create distinguishable words.
Permutation : What is it ?Combinations are mathematical operations that count all potential arrangements from a collection of elements, where the direction of selection is irrelevant. You can choose any combination of the pieces in any order. It is possible to combine permutations and combinations.
Here,
Given :
The letters "l," "O," "W," and "A" all appear once in the word "IOWA,"
which is made up of 4 letters.
=> 4P4 = 4! = 4.3.2.1 = 24
gives the permutations if all four letters were different.
Therefore , the solution of the given problem of permutation comes out to be 24 ways to create distinguishable words.
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What is the area of the shaded portion in the given figures?
Answer:
a) 40cm²
b) 150cm²
Step-by-step explanation:
a)
The area of the shaded region is equal to the area of the larger rectangle, minus the area of the smaller rectangle.
Knowing the formula for the area of a rectangle is bh (where b is base and h is height), we can find
Large rectangle area: bh = (20)(10) = 200cm²
Smaller rectangle area: bh = (12)(10) = 120cm²
The area of the shaded region is therefore 200-120cm²=80cm²
b)
The area of the shaded region is equal to the area of the larger triangle, minus the area of the smaller triangle.
Knowing the formula for the area of a triangle is 0.5bh (where b is base and h is perpendicular height), we can find
Large triangle area: 0.5bh = 0.5(20)(20) = 10(20) = 200cm²
Smaller triangle area: 0.5bh = 0.5(20)(5) = 10(5) = 50cm²
The area of the shaded region is therefore 200-50cm²=150cm²
Answer:a) 140 cm^
b)150m^2
Step-by-step explanation:
a)first find the area of big rectangle i.e rectangle
area of rectangle 1 = length ×breadth
area of rectangle = 10×20=200cm^2
now find area of small rectangle i e rectangle
area of rectangle 2 = 12×5=60cm^2
now subtract area of rectangle 2 from area of rectangle
area of shaded portion =200-60= 140cm^2
b)find area of big triangle i.e triangle 1....
area of triangle 1 = 1/2 × base × height...
area of triangle 1 =1/2×20×20 = 200m^2
area of triangle 2 =1/2×10×5 =25m^2
area of triangle 3=1/2×10×5= 25m^2
area of shaded portion = area of triangle 1 - area of triangle 2 - area of triangle
area of shaded portion =200-25-25 =150m^2
please help me with this it’s geometry
On solving the provided question, we can say that In the graph, x = PR' - PR => x = 1= -8 => x = 2
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
In the graph,
x = PR' - PR
x = 1= -8
x = 2
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Here is an input-output rule write 1 if the input is odd write 0 if the input is even
-3
-2
-1
0
1
2
The output of the given values that is -3,-2,-1,0,1,2,3 are 1,0,1,0,1,0,1 respectively.
What is Even and Odd numbers ?
Even numbers are if the numbers divisible by 2 and if it is not divisible by 2 than it is odd number.
Given ,
Here is an input-output rule write 1 if the input is odd write 0 if the input is even .
So, here we have to write outputs according to the given inputs.
And here inputs are -3,-2,-1,0,1,2,3
As -3 is odd, so the output could be 1
As -2 is odd, so the output could be 0
As -1 is odd, so the output could be 1
As 0 is odd, so the output could be 0
As 1 is odd, so the output could be 1
As 2 is odd, so the output could be 0
As 3 is odd, so the output could be 1
Hence, The output of the given values that is -3,-2,-1,0,1,2,3 are 1,0,1,0,1,0,1 respectively.
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consider the equation 7x + 4 = ax + b.
for each pair of values for a and b, determine the number of solutions that the equation has.
select no solution, one solution, or infinitely many solutions for each pair of values.
1. a = 7, b = -4
2. a = 4, b = 7
3. a = 7, b = 4
4. a = -7, b = 4
Answer: a = 7, b = -4:
This equation can be rewritten as 7x = ax + b - 4.
Since the coefficients of x on both sides are equal, the equation becomes 7x = ax - 4, we can see that the equation has only one solution.
a = 4, b = 7:
This equation can be rewritten as 7x = ax + b - 7.
Since the coefficients of x on both sides are different, the equation becomes 7x = 4x + 7, we can see that the equation has no solution.
a = 7, b = 4:
This equation can be rewritten as 7x = ax + b - 4.
Since the coefficients of x on both sides are equal, the equation becomes 7x = 7x + 4, we can see that the equation has infinitely many solutions.
a = -7, b = 4:
This equation can be rewritten as 7x = ax + b - 4.
Since the coefficients of x on both sides are different, the equation becomes 7x = -7x + 4, we can see that the equation has no solution.
Step-by-step explanation:
I need help with these problems
x is 3 seconds which means after 3 seconds the water in each balloon is equal.
What is an equation?A condition on a variable (or variables) that ensures that two expressions in the variable (or variables) have the same value is known as an equation. • The solution or root of the equation is the value of the variable for which the equation holds true. • If the LHS and RHS are switched, an equation doesn't change.An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.Given data :
a ) Jude = y = 5x ( y is m∠s )
Ian = y = 45 - 10x
c ) y = 5x
y = 45 - 10x
5x = 45 - 10x
15x = 45
x = 3
x is 3 seconds which means after 3 seconds the water in each balloon is equal.
Here I attached the drawing of graph
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25 POINTS PLSSSS DUEEE SOONN
Question One:
Ten years ago, Zahir bought a house valued at $324 900.00. Determine the curre
value of his house if it appreciated at an average rate of 6.1% per year. (2 marks)
Appreciation is an increase in the value of an asset over time. The term is widely used in several disciplines, including economics, finance, and accounting.
How do you determine a house’s appreciation rate?The easiest technique to calculate home appreciation is to divide the increase in value by the starting cost and multiply by 100 to get the difference as a percentage.
Final value minus initial value equals monetary change.
(Value change / initial investment) 100 represents the appreciation %.
1.0 N rate of appreciation)
2.0 N years equals the appreciation factor.
Appreciation value after N years = (appreciation factor)(current value).
The appreciation rate is the rate at which the value of an asset rises. An increase in the value of financial assets such as stocks is referred to as capital appreciation.
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See attached image below:
Show all work
The maximum area is identified by deducting the side length from the perimeter twice, dividing the result by 2, and then multiplying the result by the side length.
What is a property that is rectangular?
Properties of Rectangles: The basic characteristics of rectangles are: A quadrilateral is a rectangle. The different sides are parallel and at the same level. Each interior has an angle of 90 degrees.360 degrees is the total of all interior angles.
Let x be the measurement of the side of the rectangle that is perpendicular to the walls. After that, the expense for the ends and partitions is...
10x +20x +20x +10x Equals 60x
The other two sides of the rectangle will be priced at (1560 -60x), thus they will be long.
(1/2)(1560 -60x)/10 = 78-3x
The rectangle's area equals the sum of its two dimensions, hence area = x. (78 -3x)
This parabola opens downward and bears zeros at x=0 and x=78/3. The vertex of the parabola will be at x = (0 + 78/3)/2 = 13 78 -3(13) = 39, which is in the midst of these values. . different side dimension
When the enclosure side parallel to the partitions is 13 meters and the other side is 39 meters, the area is maximized.
The maximal area is therefore x*y=13*39=507
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Customer comes in and buys $10 worth of gas and $15.48 in merchandise they pay with a $50 bill
Use substitution to solve each system of equations.
y = 5x + 1
4x + y = 10
solution of the equation is: (1, 6 ). This can be solved by substitution method.
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
y = 5x + 1 .............(1)
4x + y = 10 ............ (2)
substitute y = 5x + 1 into (2)
4x + 5x + 1 = 10
or, 9x + 1 = 10 ( subtract 1 from both sides )
or, 9x = 9 ( divide both sides by 9 )
or, x = 1
substitute x = 1 into (1)
y = 5(1) + 1
or, y = 5 + 1
or, y = 6
Thus, solution of the equation is: (1, 6 )
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