Find the domain and range.

A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.

What does the term "quadratic function" mean?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.

                 The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

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Answer:

579.67 yards

Step-by-step explanation:

Answer:

≈579.67 yards

Step-by-step explanation:

1. convert feet into yards

1 foot = 1/3 yards

2. use dimensional analysis

[tex]\frac{1739feet}{1}[/tex] * [tex]\frac{1/3 yards}{1 foot}[/tex]

3. multiple straight across

1739 feet * 1/3 yards

answer: ≈579.67 yards

As per the two factor study, the value of s is 60.

Two factor study

In math, two factor study defined as an experimental design in which data is collected for all possible combinations of the levels of the two factors of interest.

Given,

Here we have that for a two-factor study with 2 levels of factor a, 2 levels of factor b, and a separate sample of 10 participants in each treatment condition, the two means for level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

And we need to find the value of s between treatments.

As per the given question, we have identified that the values,

Number of participants = 10

And we also know that,  level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

So, based on the two factor method, the value of s calculated as,

Here we have to multiple factors first,

=> 3 x 2 = 6

And then multiply that by n = 10,

=> 6 x 10 = 60

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5 Trumpets

10 Trumpets

8 Trombones

6 Trombones for 15 Trumpets

Answer:

[tex] \huge{ \boxed{f(g(x)) = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10 \\ }}[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 7x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ g(x) = - 2 {x}^{2} + 3x - 5[/tex]

To find f(g(x)), substitute g(x) into f(x). That is for every x found in f(x) replace it with g(x) and solve.

[tex]f(g(x)) = {( - 2 {x}^{2} + 3x - 5) }^{2} + 7( - {2x}^{2} + 3x - 5) \: \: \: \: \: \: \: \: \: \: \\ \\ = (4 x^4 - 12 x^3 + 29 x^2 - 30 x + 25) + (-14 x^2 + 21 x - 35) \\ = 4 {x}^{4} - 12 {x}^{3} + 29 {x}^{2} - 14 {x}^{2} - 30x + 21x + 25 - 35 \\ \\ = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10[/tex]

We have the final answer as

[tex]f(g(x)) = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10 \\ [/tex]

Answer:a=6,25

Step-by-step explanation:

i did the test yesterday

The solution of the equation 34(2a − 6) + 12 = 25(3a + 20) + a will be negative 86.5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

34(2a − 6) + 12 = 25(3a + 20) + a

Simplify the equation, then the value of the variable 'a' is given as,

34(2a − 6) + 12 = 25(3a + 20) + a

68a − 204 + 12 = 75a + 500 + a

68a − 192 = 76a + 500

Simplify the equation further, then the value of the variable 'a' is given as,

76a − 68a = − 192 − 500

8a = − 692

a = − 692 / 8

a = −86.5

The solution of the equation 34(2a − 6) + 12 = 25(3a + 20) + a will be negative 86.5.

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Answer:

45/8 or 5 5/8

Step-by-step explanation:

5/8 divided by 1/9 - 5/8 x 9/1

Answer:

5 5/8

Step-by-step explanation:

Math and stuff I dunno

Answer:

(- 3, - 7 )

Step-by-step explanation:

given

y = x - 4 ← substitute y = - 7 into the equation and solve for x

- 7 = x - 4 ( add 4 to both sides )

- 3 = x

then point is (x, y ) = (- 3, - 7 )

Answer:

(-3, -7)

Step-by-step explanation:

y=-7

y=x-4

-7 = x - 4  ==> since y=-7 and y=x-4, -7 = x-4

-7 + 4 = x - 4 + 4  ==> solve for x by adding 4 on both sides

-3 = x

x = -3

x=-3, y=-7 ==> (-3, -7)

The statement that can be concluded from the fact that the area of square ABHI plus the area of square BCDE is equal to the area of square EFGH is of:

D. BE² + BH² = EH².

The area of a square of side length s is given by the side length squared, as follows:

A = s².

Hence the areas of each square on the image given at the end of the answer are given as follows:

Hence the correct statement regarding the areas is given as follows:

BE² + BH² = EH².

Meaning that statement D is correct.

The problem is given by the image shown at the end of the answer.

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The answer to this question would be 5 by 9.

The equation of line in point-slope form is y + 7  = -1/2(x - 6).

What is an equation of a line?

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

Given points are (2,-5) and (6,-7).

The  point-slope form of a line is y - y₁ = m(x - x₁).

The slope of the line that passes through the points (2,-5) and (6,-7) is

(-7 - (-5))/(6 - 2) = -2/4 = -1/2

Putting m =  -1/2 and x₁ = 6 ,  y₁ = -7 in y - y₁ = m(x - x₁):

y - (-7) = -1/2(x - 6)

y + 7  = -1/2(x - 6)

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Therefore the solution to the difference of fraction comes out to be

12/95

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.

Here,

the given fractions are 3/5 and 9/19

and to find the difference

we take lcm of both denominators

=>  3/5-9/19

=>  (3*19-9*5)/5*19

=>  (57-45)/95

=> 12/95

Therefore the solution to the difference of fraction comes out to be

12/95

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Answer:

[tex]10w + 2w^{2}[/tex]

Step-by-step explanation:

To solve this, we have to apply the distributive property and simplify:

(-2w x -5) + (-2w x -w)

[tex]10w + 2w^{2}[/tex]

Answer:

[tex]10w + 2w {}^{2} [/tex]

Answer:  -72·a^8·b^9

Step-by-step explanation:

(-8·a^6·b³)(9·a²·b^6)

combine all the like terms:

-72·a^8·b^9

Answer: 68 seconds

Step-by-step explanation:

Answer: 68sec

Step-by-step explanation:

If 3 appears on the first die, then the sum of the numbers on the two dice can be 8 only if 5 appears on the second die. The probability of rolling a 5 on a single die is 1/6, so the probability of rolling a 3 and a 5 on two dice is 1/6 * 1/6 = 1/36. This means that the probability of rolling a sum of 8 when 3 appears on the first die is 1/36.

180 people would the elevator carry than if all the passengers were​ adults.

What is the meaning of times?

The mathematical symbol is used to represent the multiplication operation and the consequent product. It is often referred to as the times sign or the dimension sign.

Given an elevator can carry 25 adults or 30 children at one time.

One day the elevator carries a full passenger load 36 times.

If the elevator carries all adults, then it carries (25 × 36) = 900 adults.

If the elevator carries all children, then it carries (30 × 36) = 1080 adults.

If all the passengers were​ children, then the elevator carry more than (1080 - 900) = 180 people if all the passengers were​ adults.

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Answer: Shape P is similar to shape Q, however, shape P, is smaller than shape Q.

A single transformation that takes shape P to shape Q is; a dilation by a scale factor of 3 with a center of dilation at .

Reasons:

The give figure shows;

The preimage figure = P

The image figure = Q

The image P is larger than the preimage Q, therefore, the figure, Q is a

dilation of the preimage P

(x₁, y₁) = A point on the preimage, P = (2, 3)

(x₂, y₂) = The corresponding point on the dilated image, Q = (4, 9)

k = The scale factor = 3

Therefore;

The center of dilation, (x₀, y₀) = (1, 0)

Therefore;

The single transformation that takes shape P to shape Q is a dilation by a scale factor of 3 with a center of dilation at (1, 0).

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Step-by-step explanation:

Answer:

B $3.00

Step-by-step explanation:

We need to estimate a little.  We are trying to find the slope.  We need two points.  The one point that is clear is (4,15)  I would estimate the other points to be (0,3)  The slope is the change in y over the change in x

the y values from the two points are 15 and 3.  The x values are 4 and 0

[tex]\frac{15-3}{4-0}[/tex] = [tex]\frac{12}{4}[/tex] = 3

The value of g in terms of f is:

[tex]x^{4} -20x^{2} +100[/tex]

[tex]x^{9} -2[/tex]

[tex]-x^{4} -12x^{2} -34[/tex]

[tex]8-||X|+4|[/tex]

[tex]|-|x|+5|+7[/tex]

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

Finding g in terms of f, given:

g(x)=[tex]x-10^{2}[/tex],f(x)= [tex]x^{2}[/tex]

g(x)=g(f(x))

f(x)=    [tex]x^{2}[/tex] =g(  [tex]x^{2}[/tex])

g(  [tex]x^{2}[/tex]): [tex](x^{2} -10)^{2}[/tex]

Expanding [tex](x^{2} -10)^{2}[/tex] : [tex]x^{4} -20x^{2} +100[/tex]

Finding g in terms of f, given:

g(x)=[tex]-x^{3} -2[/tex],f(x)= [tex]x^{3}[/tex]

g(x)=g(f(x))

f(x)=    [tex]x^{3}[/tex] =g(  [tex]x^{3}[/tex])

g(  [tex]x^{3}[/tex]): [tex]x^{9} -2[/tex]

Finding g in terms of f, given:

g(x)=[tex]-(x-6)^{2} +2[/tex] ,f(x)= [tex]x^{2}[/tex]

g(x)=g(f(x))

f(x)=    [tex]x^{2}[/tex] =g(  [tex]x^{2}[/tex])

g(  [tex]x^{2}[/tex]): [tex]-x^{4} -12x^{2} -34[/tex]

Finding g in terms of f, given:

g(x)=[tex]8-|x+4|[/tex] ,f(x)= [tex]|x|[/tex]

g(x)=g(f(x))

f(x)=    [tex]|x|[/tex] =g(  [tex]|x|[/tex] )

g(  [tex]|x|[/tex] ): [tex]8-||X|+4|[/tex]

Finding g in terms of f, given:

g(x)=[tex]|-x+5|[/tex] ,f(x)= [tex]|x|[/tex]

g(x)=g(f(x))

f(x)=    [tex]|x|[/tex] =g(  [tex]|x|[/tex] )

g(  [tex]|x|[/tex] ): [tex]|-|x|+5|+7[/tex]

[tex]|-|x|+5|+7[/tex]

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Answer:There are no choices but i do this type of work on edge so i could proably do it without the choices.

Step-by-step explanation:Answer would be (3x-2)(2x+3)

3x times 2x would be 6x squared  3x times 3 is 9x -2 times 2x is -4x

9x-4x is 5x and -2 times 3 is -6

Hope this helps:)

HAPPY NEW YEARS

Answer: 14%

The percentage is positive because the actual cost is a result of the estimated cost increased by 14%

Step-by-step explanation:

Formula

Subtract the actual value from the estimated value

850-730=120

Divide the results from step 1 by the real value

120/850= 0.14117647058*100

Multiply the results by 100 to find the total percentage

0.14117647058*100=14.1176

Round

14%

1. The percentages chosen are given as follows:

2. The maximum amount that can be spent in each category is given as follows:

The percentages for each of the four applications can be divided in any form, as long as the sum of the five percentages is of 100%.

This is the case for the attributed percentages, as:

35 + 20 + 20 + 20 + 5 = 100.

The maximum amounts are found applying the proportions, multiplying the decimal equivalents of the maximum percentages by the bi-weekly net pay of $1,502.45.

Then the amounts in this problem are calculated as follows:

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Answer:

9/20 or 0.45

Step-by-step explanation:

The least common multiple of 12, 20 and 6 is 60. Reducing the fractions to the denominator 60 we have:

[tex] \bold{ \dfrac{7}{12} + \dfrac{4}{20} - \dfrac{2}{6} = \dfrac{35}{60} + \dfrac{12}{60} - \dfrac{20}{60} } \\ \\ \bold{= \frac{35 + 12 - 20}{60} = \frac{27}{60} = \frac{9}{20} }[/tex]

If any addend is an integer, an I is placed as denominator and the same operation is done.

The value of m in the diagram is 18°

What is a right-angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.

From the diagram, the two angles sum up to 90°

∠WZX + ∠XZY = ∠WZY

3m + 3 + 33 = 90

3m + 36 = 90

3m = 90 - 36

3m = 54

m = 54/3

m = 18°

In conclusion the value of m is 18°

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The length of each side of the given square is 3.306 yards.

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.

It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.

In geometry, a square is a flat shape with four equal sides and four right angles (90°).

A square is a unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

So, we have the area of the square as:

1.21 yards²

Area formula of square: A = s²

Now, calculate to find the length of the square as follows:

A = s²

1.21 = s²

s = 4/1.21

s = 3.306

Therefore, the length of each side of the given square is 3.306 yards.

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Answer:

Y=K1/x

K=6

Y=6

that's the process the answer is 6

The probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.

In the given question,

Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz

We have to find the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher.

Probability that 3 out of 7 randomly chosen processors clocks a speeds of 3.55 or higher is given

p = 0.4247

Now the probability follows a Binomial Distribution with the parameters, n=7 ad p=0.4247

P(X=x) = [tex]^nC_{k}(p)^k(1-p)^{n-k}[/tex]

Now putting the values

P(X=x) = [tex]^7C_{3}(0.4247)^3(1-0.4247)^{7-3}[/tex]

After solving;

P(X=x) = 0.2937

Hence, the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.

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The write question is:

Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz. The probability that a randomly selected processor clocks a speed of 3.55 or higher is 0.4247.

What is the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher?

Answer:

y = -5/6 x + 4

Step-by-step explanation:

y = mx + b

m = slope = (-1 - 14)/(6 - (-12)) = -15/18 = -5/6

y = -5/6 x + b

14 = -5/6 × (-12) + b

14 = 10 + b

b = 4

y = -5/6 x + 4