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Using translation concepts, it is found that the function [tex]f(x) = -3\sqrt{x}[/tex] is the function [tex]g(x) = \sqrt{x}[/tex] reflected over the x-axis and vertically stretched by a factor of 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, from [tex]g(x) = \sqrt{3}[/tex] to [tex]f(x) = -3\sqrt{x}[/tex], g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.

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Answer: -1+3=2 and -1×3=-3

Step-by-step explanation:

This is the best answer I could give. I hope this helps!! :)

Answer:

33 bags or 33/110 (which can be expressed as about 30%)

Step-by-step explanation:

       BUTTONS   ZIPS

28          Y             N

33          N             Y

49          N             N

The only bags with zips is the second group of 33 bags.  There are 110 bags in total, so the fraction would be (33/110)

After calculating the value, l & w could be [tex]2x^{5} y^{8}[/tex] & [tex]12x^{} y^{7}[/tex].

The inquiry relates to the laws of indices

where, [tex]x^{a} * x^{b}=x^{a+b}[/tex]

Provided the query, A= [tex]24x^{6}y^{15}[/tex]

[tex]2* 12[/tex] might be used to calculate the length and width of 24.

Hence,

[tex]x^{6}=x^{5} * x^{1} =x^{5+1}[/tex]

& [tex]y^{15}= y^{8} * y^{7} =y^{8+7}[/tex]

So, it can be written as,

A=l * w

⇒ [tex]24x^{6}y^{15}[/tex] = [tex]2x^{5}y^{8}[/tex] * [tex]12xy^{7}[/tex]

Therefore, it is concluded that the dimensions of the rectangle could be [tex]2x^{5} y^{8}[/tex] & [tex]12x^{} y^{7}[/tex].

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Answer:

First of all this is 5th grade math but 400/800 = 1/2

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

400/800=1/2 as 400*2=800

Answer:

48 in²

Step-by-step explanation:

triangle = bh/2

triangle = 24 x 4 / 2

triangle = 48 in²

Answer:

2, 3

Step-by-step explanation:

See attached images for work.

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

        [tex]\sf \boxed{\bf y - y_1=m(x-x_1)}[/tex]

Slope intercept of the line : y =5x - 3

Comparing with y = mx +b , m =slope = 5

m = 5 and Point (-2 ,-13)

     y - [-13] = 5(x - [-2])

     y + 13 = 5(x + 2)

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons. Option D is correct.

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure. The force involved vertically to the surface of an object per unit area is pressure.

It is denoted by P. The pressure relative to the ambient pressure is known as the gauge pressure.

The complete question is:

Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200? 250? 300?

According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons (PSI.)

Simply divide the number of balloons by the total PSI to arrive at this figure.

⇒990/300

⇒3.333333 psi each.

The no of the 90-inch balloon is found as;

⇒3.33333 × 90

⇒300

According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons.

Hence option D is correct.

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Answer:

∠ DCF = 39°

Step-by-step explanation:

the secant- secant angle DCF is half the difference of the measures of the intercepted arcs, that is

∠ DCF = [tex]\frac{1}{2}[/tex] (EG - DF) = [tex]\frac{1}{2}[/tex] (127 - 49)° = [tex]\frac{1}{2}[/tex] × 78° = 39°

Answer:

[tex]\textsf{E.} \quad y\:dy=xe^x\:dx[/tex]

Step-by-step explanation:

Given equation:

[tex]ye^{-x}\dfrac{dy}{dx}=x[/tex]

Divide both sides by [tex]e^{-x}[/tex]:

[tex]\implies \dfrac{ye^{-x}}{e^{-x}}\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]

[tex]\implies y\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]

Multiply both sides by [tex]dx[/tex] :

[tex]\implies y\:\dfrac{dy}{dx}\cdot dx=\dfrac{x}{e^{-x}}\cdot dx[/tex]

[tex]\implies y\:dy=\dfrac{x}{e^{-x}}\:dx[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^{-n}}=a^n:[/tex]

[tex]\implies y\:dy=xe^x\:dx[/tex]

Answer: E

Step-by-step explanation:

[tex]ye^{-x} \frac{dy}{dx}=x\\\\y \frac{dy}{dx}=xe^{x} \\ \\ \boxed{y dy=xe^{x} dx}[/tex]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of f(x) when the value of x is 9 is 38.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given data points are in a linear relation, therefore, if we find the slope of the line on which these data points will be located. Then the slope will be,

m = (17-5)/(2+2) = 3

Now, equate any point and the slope in the general equation of line, therefore, the equation will be,

y = 3x + c

17 = 3(2) + c

17 - 6 = c

c = 11

Further, the value of f(x) when the value of x is 9 will be,

f(x) = 3x + 11

f(9) = 3(9) + 11

f(9) = 38

Hence, the value of f(x) when the value of x is 9 is 38.

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Answer:

3.75

Step-by-step explanation:

17.15-13.40=3.75

Answer:

3.75

Step-by-step explanation:

17.15- 13.40=3.75

Answer:

B

D

A

C

Step-by-step explanation:

Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.

Answer:

1st one.

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Domain = [-9, -1][/tex]

[tex]\qquad \tt \rightarrow \:Range = [-1 , 3][/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

[tex] \large\textsf{For the given graph : } [/tex]

[tex]\qquad \tt \rightarrow \: domain = [ - 9, -1][/tex]

[tex]\qquad \tt \rightarrow \: range= [ -1,3][/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

The expression that represents the PS is 7x – 7 .

if I am right mark the answer as brainliest

From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up. the correct option is C.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Given;

Suppose that g(x) = f(x) + 6.

From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up.

Hence, the correct option is C.

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The complete question is

"Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

A) The graph of g(x) is the graph of f(x) shifted 6 units down.

B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.

C) The graph of g(x) is the graph of f(x) shifted 6 units up.

D. The graph of g(x) is the graph of f(x) shifted 6 units to the right."

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The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)

This is the probability that an event has happened given another event. If the two events are A and B, hence;

The conditional probability of A given B is expressed as:

P(A | B) = P(AnB)/P(B)

This given the fractions representing the conditional probability

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Answer:

18

Step-by-step explanation:

x = number    

45  +  1/2 x   =   3x  

45 = 2.5 x

x = 45/2.5 = 18

Answer:

18

Step-by-step explanation:

Hello!

"Half a number" can be represented by 0.5x and "triple the number" can be represented by 3x.

This just becomes a one variable equation: 45 + 0.5x = 3x

Solve:

The missing number is 18.

Answer:

$75

[It is easy to say $60, but don't forget to add Samuel to the total]

Step-by-step explanation:

There are 5 people in total:

1  Samuel

4 friends

5 people who can spend up to $15 each.

(5 people)*($15/person) = $75 total spent on supplies

If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.

The complete question is attached below.

The quantity of anything is stated as though it were a fraction of a hundred.

The pie chart below shows how the annual budget for a certain company divided by department.

If the amount of budget for media and sales combined is $25,000,000.

Then the total annual budget will be

Let x be the total annual budget.

17% + 3% = 25,000,000 / x

       20% = 25000000 / x

      0.20 = 25000000 / x

            x = $125,000,000

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By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:

x = 0

2 = a · 2⁰

a = 2

x = 0

3 = a · 2⁰

a = 3

x = 1

9 = a · 2

a = 9/2

By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)

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Answer:

PA = [tex]\sqrt{29}[/tex]

AC =[tex]\sqrt[2]{5}[/tex]

Step-by-step explanation:

distance formula : if [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] are two points on a line segment then distance between both the points is given by distance formula.

[tex]d = \sqrt{[(x_{2} - x_{1} )^2 +(y_{2} - y_{1})^2]}[/tex]

therefore ,

given points are , A(2, 5),  P(0, 0), C(-2, 7).

so PA = [tex]\sqrt{[({2} - {0} )^2 +({5} - {0})^2]} = \sqrt{({2} )^2 +({5} )^2}[/tex]

    PA = [tex]\sqrt{\229}[/tex]

similarly,

AC = [tex]\sqrt{[({-2} - {2} )^2 +({7} - {5})^2]} = \sqrt{({4} )^2 +({2} )^2}[/tex]

AC = [tex]\sqrt{20} = \sqrt[2]{5}[/tex]

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Answer:

D. X=1

Step-by-step explanation:

It's clear if you work through it just use substitution and you'll get the same answer yourself

Answer: Add the equations to eliminate k

Step-by-step explanation:

Adding the equations together, we get 2b=18.