Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form: x = 55 + √ 3241 2 , 55 − √ 3241 2
Decimal Form: x =
55.96489065… , −0.96489065…
Please please look at the picture and answer the question thank uu so so much
Therefore , the solution of the given problem of inequality comes
out to be x <-2.
What is inequality?In mathematics, an inequality is a linking of two equations or numbers when there isn't an equal sign. Unbalance therefore precedes inequity. When two numerical values are not equal, an inequality results in a relationship between them. Egality and inequality are not the same. Where variables are not similar or equal, have used the most common symbol (). There are various inequalities that can be utilized to contrast values regardless of how small or huge they are. Switching the two sides it until variables represent all that is left can address a variety of basic inequality problems. The combination or division with low values from both sides are only a few examples of the many factors that might cause inequality. You switch sides and the left.
Here,
Given : 2x-7 < -11
=> 2x < -11 + 7
=> 2x < -4
=> x <-2
Therefore , the solution of the given problem of inequality comes
out to be x <-2.
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After raining for 3/4 of an hour, a rain gauge is 2/5 filled. If it continues to rain at that rate for 15 minutes, what fraction of the rain gauge will be filled?
Answer: 8 fifteenths of the rain gauge will be filled
PLEASE I NEED HELP
Use composition to prove that f(x) and g(x) are inverses. Check your work
F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.
How do you verify that f x and G x are inverses?If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.
Explanation:
Instance 1
Inverse functions of both functions can be found using the first method.
Example.
Inverse of f (x) = x + 7 is what we're looking for.
We attempt to determine x using the equation y = x + 7.
y = x + 7
Inferring that g (x) is the inverse of f (x) from the fact that x = y 7
Finding g (x inverse )'s is now necessary.
g( x ) = x − 7
y = x − 7
x = y + 7
As a result, we discovered that f (x) is the inverse function of g (x).
f and g are equal if g is inverse of f and vice versa.
The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.
Example:
f ( g ( x ) = [ x − 7 ] + 7
G ( x ) placed as x is the expression in brackets.
f ( g ( x ) ) = x − 7 + 7 = x
g (f ( x ) = [ x + 7 ] − 7
f ( x ) inserted as x is the expression in brackets.
g ( f ( x ) ) = x + 7 − 7 = x
The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.
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Write the expressions using exponents 2•2•2
Solution
Step 1:
The number 2 appears 3 times in the multiplication.
Step 2:
So 2 × 2× 2= 8
Step 3:
The expression 8 has a base of 2 and an exponent of 3.
[tex]2 \times 2 \times 2 \\ = {2}^{3} [/tex]
I dont get this i get confused on it
The rate of total amount to pounds of meat is 33:11. Option B
The unit rate of total amount to pounds of meat is 3:1. Option F
How to determine unit rate?$33.00 for 11 pounds of meat
The rate of total amount to number of pounds = 33/11
= 33 : 11
The unit rate which refers to the rate of each pound of meat = Total cost / number of pounds
= 33/11
= 3/1
= 3 : 1
Hence, the rate and unit rate of the cost to pounds of meat is 33 : 11 and 3 : 1
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Find the value of x,yand z
The unknown angles of the quadrilateral are as follows:
x = 100°
y = 80°
z = 40°
How to find the angles of a quadrilateral?A quadrilateral is a plane figure that has four sides , and also has four corners or vertices. The sum of angles in a quadrilateral is 360 degrees. Examples of quadrilateral are parallelograms, rectangle, square, rhombus etc.
Therefore, let's find the angle x, y and z in the quadrilateral as follows:
x = 100 degrees(vertically opposite angles)
adjacent angles of the quadrilateral is supplementary.
Therefore,
100 + y = 180
y = 80 - 100
y = 80 degrees
Let's find z.
z + z + 100 = 180
2z = 180 - 100
2z = 80
z = 80 / 2
z = 40 degrees
Therefore,
x = 100 degrees
y = 80 degrees
z = 40 degrees
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The graphs below have the same shape. What is the equation of the red
graph?
G(x) =____
-5
A. G(x) = (2-x)4
B. G(x) = 5-x^4
C. G(x)=2-x^4
D. G(x) = (5-x)^4
PLEASE HELP ASAP
The equation for the red graph is G(x) = 5 - x⁴.
What are coordinates in a graph?With a graph, the coordinates show where a point is in relation to the x- and y-axes.
The connection between the data drawn on the specified x-axis and y-axis is depicted by the coordinates in a graph.
The red graph is having y = 5, when x = 0
Put x = 0 in G(x) = (2 - x)⁴
= (2 - 0)⁴
= 2⁴
= 16
Now, put in G(x) = 5 - x⁴
= 5 - 0⁴
= 5
Similarly, for G(x) = 2 - x⁴, we get G(x) = 2
For G(x) = (5 - x)⁴
= 5⁴
= 625
When we put x = 0 in all the options, we observe that the equation G(x) = 5 - x⁴ satisfies the condition. So, this is the equation for the red graph.
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what is 1+7 please give me the right answer
Answer:
1 + 7 = 8
The answer is 8.
Answer:
1+7=8
Step-by-step explanation:
Can you please help me? I have this question:
A sinusoidal function has a y-intercept at 2, midline y = 2, and maximum value of 4 at π4 and completes 2 cycles in the interval [0,2π].
The sinusoidal function can be represented as:
[tex]$y = A \sin(Bx + C) + D$[/tex]
Where A is the amplitude, B is the b, C is the phase shift, and D is the vertical shift.
Given that the y-intercept is 2, the vertical shift D is 2.
Given that the midline y = 2, the average value of the function is 2, so the sum of the maximum and minimum value is 4 which means the maximum value is 4, the amplitude of the function is 4-2 = 2.
Given that the maximum value of 4 is at [tex]π/4[/tex] , the phase shift C is π/4.
Given that it completes 2 cycles in the interval [0,2π], the frequency B is
[tex]2/(2π) = 1/π[/tex]
So, the sinusoidal function is:
[tex]$y = 2 \sin(x + \frac{\pi}{4}) + 2$[/tex]
This function starts at y-intercept 2, oscillates between 2+2 =4 and 2-2 = 0, and completes 2 cycles in the interval [0,2π].
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Combine like terms to simplify the expression5z+5-6z
The expression 5z + 5 - 6z is equivalent to the expression 5 - z.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 5z + 5 - 6z
Simplify the expression, then we have
⇒ 5z + 5 - 6z
⇒ 5 - z
The expression 5z + 5 - 6z is equivalent to the expression 5 - z.
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Pablo helped in the community garden for 2 3/4 hours this week. That was 1 5/6 equal length shifts because Paola stopped early one day when it started to rain
The single shift is 1.5 hours long if 2+3/4 hours equals 1+5/5 equal length shift.
What is meant by Fraction?Fractions are referred to in mathematics as the components of a whole. The entire can be a single item or a collection of items. When we slice a cake in real life, the portion represents the proportion of the cake that was originally cut. The word "fraction" has its roots in Latin. "Fractus" is the Latin word for "broken." The fraction was first expressed verbally in antiquity. Later, a numerical form was developed.
Paola contributed to the community garden for 2 + 3 / 4 hours this week, or a 1 + 5 / 6 times length of shift.
We must determine the duration of a single shift.
The correct fraction of the given mixed fractions must first be determined.
Numerator and denominator combine to form a fraction.
The numeral that appears above the division symbol is referred to as the numerator, while the numeral that appears below the division symbol is referred to as the denominator.
2+3/4=(8+3)/4=11/4
1+5/6=(6+5)/6=11/6
Let's say a shift lasts for x hours.
So,
11/4=11*x/6
11/4=11/6 x
66/44=x
x=3/2
x=1.5 hours.
As a result, the single shift is 1.5 hours long if 2+3/4 hours equals 1+5/5 equal length shift.
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I need help with this equation
The length of the line segment AC is 20 units.
How to find the length of a line segment?A line segment is bounded by two distinct points on a line.
The length of AC is x + 9. The actual length of the line segment AC can be found as follows:
Therefore, using equations,
AB + BC = AC
AB = 3x - 15
BC = x - 9
AC = x + 9
Hence,
AC = AB + BC
x + 9 = 3x - 15 + x - 9
x + 9 = 3x + x - 15 - 9
x + 9 = 4x - 24
x - 4x = -24 - 9
-3x = -33
divide both sides by -3
x = -33 / -3
x = 11
Therefore,
AC = 11 + 9 = 20 units
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Whats 1,112,433 rounded to the nearest ten thousand?
Answer:
1,110,000
Step-by-step explanation:
I hope this helps!
ANSWER ASAP PLEASEEE
Answer:
(1,0)
Step-by-step explanation:
in a small hockey arena with 8000 seats there are 3000 upper level seats which are $10 cheaper than the remaining lower section seats. For a sellout to a memorial cup game thr total revenue was 194000
We can start solving this problem using algebra. Let x be the price of the lower section seats. Then the price of the upper level seats is x - 10.
We know that there are a total of 8000 seats in the arena, and 3000 of them are upper level seats. So the remaining seats are in the lower section, which means there are 5000 lower section seats.
We also know that the total revenue for a sellout is $194,000. We can use this information to set up an equation to represent the total revenue:
(x - 10) * 3000 + x * 5000 = 194000
Now we can use this equation to solve for the price of the lower section seats (x).
3000(x-10) + 5000x = 194000
3x - 30,000 + 5x * 10^4 = 194000
8x = 224,000
x = 28000/8 = 3500
Therefore, the price of the lower section seats is $3500 and the price of the upper level seats is $3500 - $10 = $3490.
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
230p-1010=650p-400-p and 2.3p-10.1=6.49p-4 are the correct options that have the same solution with the parent equation.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The expression 2.3p-10.1=6.5p-4-0.01p
-4.19p=10.1-4
p= -1.4558
Now 230p-1010=650p-400-p
-419p=1660
p=-1.4558
Similarly 2.3p-10.1=6.49p-4
-4.19p=10.1-4
p=-1.4558
Hence, 230p-1010=650p-400-p and 2.3p-10.1=6.49p-4 are the correct options that have the same solution with the parent equation.
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Graph the line with slope 7 and y-intercept-7
Answer: y = 7x + 7
Step-by-step explanation:
The lines equation is y = 7x + 7
Here is a picture of graphing it (desmos)
I need help please anyone ?!!!! Thank u:)))!!!<3
Answer:
3.52, 3.48
82.633, 82.632, 82.629
438.12, 437.96
8.45, 8.46,8.47,8.48,8.49,
Two trains leave the railroad station at noon. The first train travels along a straight track at 100 mph. The second train travels at 65 mph along another straight track that makes an angle of 130° with the first track. At what time are the trains 400 miles apart? Round your answer to the nearest minute.
The distance between the trains after 30 minutes is 28.96 miles.
How to find the calculation?In 30 minutes, the train traveling at 100 miles per hour traveled 50 miles.
A train traveling at 90 miles per hour has traveled 45 miles in 30 minutes.
It is possible to think of this as a triangle with sides of 50 and 45, and an angle of 35 degrees included.
Take into account a right-angled triangle with x as one of its acute angles.
The cosine formula is then cos x = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side next to angle x and "hypotenuse" refers to the longest side (the side across from the right angle) of the triangle.
By using the cosine law,
c2=a+b+2+cosC or c2=50*45*cos35=2500+2025+4500*0.82=838.82(2dp)c= sqrt 838.82=28.96 miles.
The distance between the trains after 30 minutes is 28.96 miles.
The Complete Question is distance between the trains.
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From 2000 to 2020, a world health organization collected data on the percentage of a country’s population that had access to safe drinking water. The function W(t)=0.5t+47models the percentage of the population in Guatemala that has safe drinking water where t is the number of years since 2000 and w is the percentage of the population that has access.
t should have constraint as in the real world, t is the number of years from 2000,
T { t ∈ N U {0} | 0 ≤ t ≤ 20} and W = { w ∈ R | w = 0.5t + 47 and 0 ≤ t ≤ 20}
What is the constraint?
A constraint is a condition of an optimization problem that should be satisfied the condition. A cost constraint means that you're limited to a specific project budget, while a time constraint means you must complete your project within a specified timeframe.
The equation W(t) = 0.5t + 47 models the percentage of the population in Guatemala that has access to safe drinking water,
where t represents the number of years since 2000, and W represents the percentage of the population that has access.
Because the data has been collected from 2000 to 2020 and the modelling function is developed on the basis of the collected data. Hence, t should have constraint as in the real world, t is the number of years from 2000.
Because t is the number of years from 2000. Data is collected til 2020, i.e. t=0 to 20,
Let T be the set of all values of t.
T { t ∈ N U {0} | 0 ≤ t ≤ 20}
Because W(t) = 0.5t + 47
Let W be the set of all values of W.
W = { w ∈ R | w = 0.5t + 47 and 0 ≤ t ≤ 20}
Hence, t should have constraint as in the real world, t is the number of years from 2000,
T { t ∈ N U {0} | 0 ≤ t ≤ 20} and W = { w ∈ R | w = 0.5t + 47 and 0 ≤ t ≤ 20}
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Complete question:
From 2000 to 2020, a world health organization collected data on the percentage of a country's population that had access to safe drinking water. The function W(t) = 0.5t + 47 models the percentage of the population in Guatemala that has safe drinking water where is the number of years since 2000 and W is the percentage of the population that has access. 5. Explain why the values of should have a constraint. 6. Write the constraint for the values of t using set builder notation. 7. Write the constraint for the values of W using set builder notation.
is 1 over 3 = to 3 out of 3
the correct answer is No
Step-by-step explanation:
it's not equal
Answer:
[tex]\frac{1}{3}\neq\frac{3}{3}[/tex]
Step-by-step explanation:
The two numbers are different
Find the number of distinguishable permutations of the letters IOWA.
A.45
B.48
C.90
D.120
Answer:
4!/(1! 1! 1! 1!) = 24
Step-by-step explanation:
None of your answers are correct!
please help me with math i’ll give you brainlist
Answer:
slope is -1/4
Step-by-step explanation:
We are given the points (-5,2) and (7,-1)
the slope formula is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
y₂ = -1
y₁ = 2
x₂ = 7
x₁ = -5
[tex]m=\frac{(-1)-2}{7-(-5)}[/tex]
[tex]m=\frac{-3}{12}[/tex]
[tex]m=-\frac{1}{4}[/tex]
simplify the expression
2.5 (r-1)
Answer:
2.5r - 2.5
Step-by-step explanation:
Step 1: Apply the Distributive Property
2.5(r - 1)
2.5 * r - 2.5 * 1
Step 2: Solve
2.5r - 2.5
Given mn, find the value of x.
Since lines mn are parallel lines, the value of x is equal to 32°.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
What is the Linear Pair Postulate?In Mathematics, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.
By applying the Linear Pair Postulate to the two (2) angles on the straight lines cut by a transversal, we have the following:
x + 148° = 180°
x + 148° = 180°
x = 180° - 148°
x = 32°.
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Please help !! 15 points if answered!
Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and D(1,
-4). It is translated 1 unit to the left and 3 units up. What are the coordinates
of Br
A. (1,-1)
B. (7,-3)
C. (3, 1)
D. (5,-5)
Since the ABCD rectangle's vertex coordinates are A(1, -2), B(4, -2), C(4, -4), and D(3, 1), option c is accurate (1,-4)
what is rectangle ?You may also refer to it as a quadrilateral that is equiangular, meaning that each of its angles is equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90-degree vertices and equal parallel sides make up a rectangle-shaped quadrilateral. This leads to the term "equirectangular rectangle" occasionally being used to describe it. A rectangle is also referred to as a parallelogram due to the equal and parallel lengths of its opposite sides.
given
To find the coordinates, first subtract 1 from 4 to get 3 and then add 3 to -2 to get 1.
Since the ABCD rectangle's vertex coordinates are A(1, -2), B(4, -2), C(4, -4), and D(3, 1), option c is accurate (1,-4)
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I need help ASAP
Look at the image below
Answer: 4,5, and 6
Step-by-step explanation:
a1=7 and an=an-1-4 find value of a6
Answer:
a₆ = -13
Step-by-step explanation:
A recursive formula for a sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence. Therefore, when giving a recursive rule, we need to define the first term of the sequence, as it is not part of the formula.
Given recursive rule:
[tex]\begin{cases}a_1=7\\a_n=a_{n-1}-4\end{cases}[/tex]
To find the value of a₆, use the recursive formula to find the first 6 terms of the sequence:
[tex]a_1=7[/tex]
[tex]a_2=a_1-4=7-4=3[/tex]
[tex]a_3=a_2-4=3-4=-1[/tex]
[tex]a_4=a_3-4=-1-4=-5[/tex]
[tex]a_5=a_4-4=-5-4=-9[/tex]
[tex]a_6=a_5-4=-9-4=-13[/tex]
Therefore, the value of a₆ is -13.
PLEASE PLEASE PLEASE HELP MEE TY
In option, D number line shows the sum of -1 and +1 equals zero.
What is the number line?
A number line is a type of line that can be used to show the positions of all numbers. It has two ends which start with -∞, and stops at +∞. A directed number is a number that is either negative or positive. Thus all directed numbers can be located on the number line.
When you have two opposite numbers on a number line, that is, a digit that has a negative value and the same digit having a positive value, when you add them together, you would have 0.
i.e. -a + b = 0
In the above options given, the number line that shows this particular case is the number line in option D.
Hence, In option, D number line shows the sum of -1 and +1 equals zero.
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Give an example of a variable amount.
Variable amount include costs of goods sold (COGS), raw materials and production inputs, packaging, wages and commissions, and certain utilities.
What is variable amount?The investment return payable in addition to the Capital Protected Amount in respect of the Investment Element is referred to as the Variable Amount.Variable costs are costs that change with volume. Raw materials, piece-rate labor, production supplies, commissions, delivery costs, packaging supplies, and credit card fees are examples of variable costs. The variable costs of production are referred to as the "Cost of Goods Sold" in some accounting statements.The variable cost is calculated using the following formula:
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