The graph of F(x) , shown below, resembles the graph of G(x) = x ^ 2 it has been changed somewhatWhich of the following could be the equation of F(x) ?

Answer:  C

Step-by-step explanation:

f(x) = x²

g(x) has the same vertex as   f(x) but is wider so has a vertical stretch by a factor of (1/3).

g(x) = (1/3)x²

Answer:

Solution,

[tex]tan \: theta = \frac{opposite}{adjacent} [/tex]

[tex]tan \: 60 = \frac{h}{50} \\ 5 \: tan \: 60 = h \\ h = 50 \: tan \: 60 \\ h = 87 \: feet[/tex]

hope this helps..

Good luck on your assignment..

Answer:

see explanation

Step-by-step explanation:

(a)

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) + 5 represents a shift up of 5 units, thus

(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )

(b)

Given f(x) then - f(x) represents a reflection of f(x) in the x- axis

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(2, - 3 ) → (2, 3 )

The vertex of the given curve is the minimum point on the curve.

The vertex is given as:

[tex]\mathbf{(x,y) = (2,-3)}[/tex]

(a) The vertex of f(x) + 5

The rule of the given transformation is:

[tex]\mathbf{(x,y) \to (x,y + 5)}[/tex]

So, we have:

[tex]\mathbf{(x,y) \to (2,-3 + 5)}[/tex]

[tex]\mathbf{(x,y) \to (2,2)}[/tex]

Hence, the vertex of f(x) + 5 is (2,2)

(b) The vertex of -f(x)

The rule of the given transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{(x,y) \to (2,-(-3))}[/tex]

[tex]\mathbf{(x,y) \to (2,3)}[/tex]

Hence, the vertex of -f(x) is (2,3)

Read more about vertex at:

https://brainly.com/question/4088301

Answer:

Number line graph with closed circle on 20 and shading to the right or c

Step-by-step explanation:

This is the best answer because you start of at 20 dollars and need to continue collecting money till you have 160 dollars.

Answer:

The 3rd one

Step-by-step explanation:

You have already collected $20. You need at least $160, but having even more money would be great. You need $160, but any number to the right of 160 would be even better as your goal.

Hey there! :)

Answer:

f(x + 5/4) --> f(x) is translated 5/4 units left.

f(x) - 5/4 --> f(x) is translated 5/4 units down.

Step-by-step explanation:

Recall that a linear equation in transformations form is:

f(x) = ±a(b(x-h))+k

In this instance:

f(x + 5/4) the 'h' value is -5/4, meaning the graph is translated 5/4 units left.

f(x) - 5/4 has a 'k' value of -5/4, so the graph is translated 5/4 units down.

Hey there! :)

Answer:

432 cubes.

Step-by-step explanation:

Volume of rectangular prism: V = l × w × h

V = 9 × 4 × 1.5

V = 54 in³

Volume of cubes: V = s³

V = 1/2³

V = 1/8 in³

Set up an equation to solve for the # of cubes needed (x):

54 = 1/8x

Divide both sides by 1/8:

54 × 8/1 = x

x = 432 cubes.

Answer: −22+3

Step-by-step explanation:

Answer:

−22+3

Step-by-step explanation:

Answer:

y - 7 = -13( x-5)

Step-by-step explanation:

The  point slope form of a line is

y-y1 = m(x-x1)

The slope is -13 and the point is (5,7)

y - 7 = -13( x-5)

Answer:

PoInTsSsSsSsSs

Step-by-step explanation:

Answer:

(0,2)

Step-by-step explanation:

i used a graphing calculator hopefully its right

Answer:

(-7,-14)

Step-by-step explanation:

you x is decreasing by -7 so your x is -7 and your y  is decreasing by -14.

Answer:

Step-by-step explanation:

Yes

Answer:

B.

Step-by-step explanation:

A goes up by 1

C goes up by 8

D goes up by 5

But B increments by 2x (2 times)

Answer:

B.

Step-by-step explanation:

A goes up by 1

C goes up by 8

D goes up by 5

But B increments by 2x (2 times)

Step-by-step explanation:

Ana drinks one glass of orange juice which contain 1/8 of the container in every eight day one container of orange juice finish.So,now we should do 8*7 for the reasult.So, the answer should be 56.

Answer:

The old tower has 65 steps.

(I think,)

Answer:

150 steps

Step-by-step explanation:

For every 6 steps going up it takes a extra 1 second to go down. Since it took Mary 25 seconds longer to get down you multiply 6 by 25 and you'll get 150 steps.

Answer:

[tex]\huge\boxed{a)\ 2,800cm^3=2.8l}\\\boxed{b)\ 12.4l=12,400cm^3}[/tex]

Step-by-step explanation:

[tex]1l=1dm^3\\\\1dm=10cm\to1dm^3=(10cm)^3=1,000cm^3\\\\\text{therefore}\ 1l=1,000cm^3\to1cm^3=\dfrac{1}{1,000}l=0.001l\\\\a)\ 2,800cm^3=2,800\cdot0.001l=2.8l\\\\b)\ 12.4l=12.4\cdot1,000cm^3=12,400cm^3[/tex]

Answer:

a) 2.8 liters

b) 12400 cm³

Step-by-step explanation:

1 cm³ = 1 mL

1000 mL = 1 L

a)

2800 cm³ × (1 mL)/(1 cm³) × (1 L)/(1000 mL) = 2.8 L

b)

12.4 L × (1000 mL)/(1 L) × (1 cm³)/(1 mL) = 12400 cm³

Answer:

x = -1/4

Step-by-step explanation:

Step 1: Write out 1st equation

6x + 7

Step 2: Write out 2nd equation

2x + 6

Step 3: Set equal to each other

6x + 7 = 2x + 6

Step 4: Solve

4x + 7 = 6

4x = -1

x = -1/4

Answer:

37.25

Step-by-step explanation:

6.75+7.25+8.25+7.25+7.75=37.25

Pls Mark as Brainliest

Answer: B

Step-by-step explanation: The domain are all x values, meaning only the x values are counted for the domain.

Answer:

B

Step-by-step explanation:

domain is all the input(x):{3,4,5,6}

the domain of a graph consists of all the input values shown on the x-axis (rule)

Answer:

16

Step-by-step explanation:

20 + 16=36 36x2=72

Answer:

Answer is below.

Step-by-step explanation:

Macy forgot that a discount of 25% means the cost is multiplied by 75%.

Take the original price of the shirt, $20, times 75% for each month and times 50% for the employee discount.

20 x 0.75 x 0.75 x 0.50 = $5.63 is the price of the shirt for the employees using all of the discounts.

Answer:

12, -3.7, ⅓

(2nd, 3rd and 5th option)

Step-by-step explanation:

Constants are numbers without any variables with it.

x and y are the variables here.

-8 is the coefficient of y and hence it is not a constant.

*the value of a constant will not change

Note that the constant includes the symbol too, hence it is -3.7 and not 3.7.

Answer: 2nd 3rd and 5th option hope this helps  

Step-by-step explanation:

Answer:

∠ FGE = 52.5°

Step-by-step explanation:

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

∠ FGE = [tex]\frac{1}{2}[/tex] (arc BD - arc FE )

           = [tex]\frac{1}{2}[/tex] × (135 - 30)°

           = [tex]\frac{1}{2}[/tex] × 105°

           = 52.5°

Answer:

n = 8

Step-by-step explanation:

-2n - 13 = -3n - 5

-2n + 3n = -5 + 13

n = 8

Hope this helps. Have a nice day!

Answer:

A must be 7 and B must be -4

Step-by-step explanation:

Perform the indicated multiplication, obtaining:

7x^(3/2) - 4x  =  Ax^(3/2) + Bx

Then A must be 7 and B must be -4

Answer:

Ken can walk 404040 dogs in 888 hours.

How many dogs can Ken walk in 121212 hours?

Step-by-step explanation:

answer= 60

Answer:

if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

Answer:

y = 4 [tex](\frac{1}{2}) ^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a [tex]b^{x}[/tex]

Use ordered pairs from the table to find values of a and b

Using (0, 4 ), then

4 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus

a = 4, so

y = 4 [tex]b^{x}[/tex]

Using (1, 2 ) , then

2 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = [tex]\frac{1}{2}[/tex]

Thus exponential function is

y = 4 [tex](\frac{1}{2}) ^{x}[/tex]

Answer:

y = 4 (\frac{1}{2}) ^{x}

Answer:    

if she countinues to walk at that rate it will take her 24 minutes to walk the 32 blocks

Step-by-step explanation:

i took the 12 blocks every 9 minutes and counted for a total of 36 blocks which would take 27 minutes then since we want to know how long it would take for her to walk 32 blocks I found how long it would take her to walk 4 blocks which is 3 minutes (12/3 = 4 9/3 =3) and i subtracted those 3 minutes from the 36 block walk giving you 24 minutes for 32 blocks

hope this helps

Answer:

b = 4

Step-by-step explanation:

Use the slope-intercept form  y = m x + b  to find the y-intercept  b .

Answer:

C: 4

Step-by-step explanation:

Answer:

fx=5x

Step-by-step explanation:

The answer is A and E