If f(x) = -2(5)*, what is f(2)?

Jared wants to purchase his favorite barbeque sauce. The barbeque sauce comes in two different size bottles. The 32 ounce bottle

Setler79 [48]

I believe letter B is the correct answer to your question. :)

6 0

4 years ago

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Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:

MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do $y = f (\frac{1}{4}x)$

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. $y = |\frac{1}{4}x + 1|$

3. Do $y = f(x)-4$

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

$y = |\frac{1}{4}x +1| -4$

4. After these transformations the function f(x) = | x | it looks like:

$f(x) = |\frac{1}{4}x +1| -4$

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

$f(-4) = |\frac{1}{4}(-4) +1| -4 = -4$

8 0

4 years ago

URGENT

Katyanochek1 [597]

Answer:

The answer to your question is Area = 62.5 u²

Step-by-step explanation:

Area = $c \frac{a + b}{2}$

a and b are bases

c = heigth

dAD = $\sqrt{(x2 - x1)^{2} - (y2 - y1)^{2} }$

dAD = $\sqrt{(-1 + 13)^{2} - (5 + 11)^{2} }$

dAD = $\sqrt{(12)^{2} - (16)^{2} }$

dAD = $\sqrt{144 + 256}$

dAD = $\sqrt{400}$

dAD = 20 u

dBC = $\sqrt{(3 - 0)^{2} - (2 + 2)^{2} }$

dBC = $\sqrt{9 + 16}$

dBC = $\sqrt{25}$

dBC = 5 u

dAB = $\sqrt{(3 + 1)^{2} - (2 - 5)^{2} }$

dAB = $\sqrt{(4)^{2} - (-3)^{2} }$

dAB = $\sqrt{16 + 9}$

dAB = $\sqrt{25}$

dAB = 5u

Area = $5 \frac{20 + 5}{2}$

Area = $5 \frac{25}{2}$

Area = 5(12.5)

Area = 62.5 u²

6 0

4 years ago

Zoey wants to cover her bedroom floor with carpet squares.Each square has an area of 1 square foot.Her bedroom measures 12 feet

KonstantinChe [14]

Answer: Zoey needs 168 square feet if carpet squares.

Step-by-step explanation:

Zoey wants to cover her bedroom floor with carpet squares. Each square has an area of 1 square foot.

The formula for determining the area of a rectangle is expressed as

Area = length × width

Her bedroom measures 12 feet by 14 feet. Therefore, the area of her bedroom would be

12 × 14 = 168 square feet.

Therefore, the number of carpet squares that Zoey needs would be

168/1 = 168 square feet

6 0

3 years ago

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Find the dimensions of a rectangle with perimeter 100m area of 336

dalvyx [7]

Start by writing out the formulas for perimeter and area:
P=2L+2W A=L*W

We know that A = L*W = 336 sq meters and that P=2L + 2W = 100m.

Let's solve the first equation for L: L = 336/W

Subst. this into the formula for perimeter: 2[336/W] + 2W = 100 m (given)

Now all you have to do is to solve this for W:

336/W + W = 50 becomes 336 + W^2 = 50W.

Then W^2 - 50W + 336 = 0. Using the quadratic formula, I found that
50 plus or minus sqrt (1156) 50 plus or minus 34
W = ---------------------------------------- = -------------------------------
2 2

W has to be positive. Thus, choose W = (50+34) / 2 = 42

Then L = 336 / W, or 336 / 42, or 8.

The dimensions of this rectangle are 8 by 42.

You should check these results. Does P = 2(8) + 2(42) = 100 ?

8 0

3 years ago