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3 years ago

Evaluate f(x) = -4x + x2 + 16 for f(-4).

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

Answer:

$f(-4)=48$

Step-by-step explanation:

<u>Value of functions</u>

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

$f(x)=-4x+x^2+16$

We need to find f(-4), so we use x=-4:

$f(-4)=-4*(-4)+(-4)^2+16$

$f(-4)=16+16+16$

$\boxed{f(-4)=48}$

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Find the height of a cone with a diamater of 12m whose value is 151 meters cubed, then round it to the nearest meter

Mariana [72]

Answer:

Height= 4m (nearest meter)

Step-by-step explanation:

$\boxed{volume \: of \: cone = \frac{1}{3} \pi {r}^{2}h }$

Diameter= 2(radius)

Given that the diameter is 12m,

radius of cone

= 12 ÷2

= 6m

Let the height of the cone be h meters.

$151 = \frac{1}{3} \pi(6^{2} )(h)$

$151 = 12\pi h$

$h = \frac{151}{12\pi}$

h= 4.0054 (5 s.f.)

Thus, the height of the cone is 4m. (nearest meter)

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3 years ago

Laura found 12 shells on a trip to the beach. these seashells represent 1/4 of the shells in her whole collection. how many shel

Andru [333]

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3 years ago

Read 2 more answers

Write each product using an exponent. number one 20 × 20 number two 4 × 4 × 4 × 4 number three 2 × 2 × 2 × 2 × 2 × 2 × 2 number

shtirl [24]

Answer:

1. 20² = 400

2. 4⁴ = 256

3. 2⁷ = 128

4. 3⁵ = 243

5. 10³ = 1,000

6. 7⁶ = 117,649

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8. 5⁷ = 78,125

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i wasnt really sure what you meant but i hope this helps

6 0

3 years ago

Suppose that y varies inversely with x. Write a function that models the inverse function. x = 15 when y = 2.

shutvik [7]

Inverse variation means y=k/x (direct variation is y=kx)

You are given a point, so you can solve for the constant k...

2=k/15

k=30 so the function is:

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3 years ago

I"m actually begging you to help

Rufina [12.5K]

Answer:

(Square, Right Triangle)

18 meters²

Step-by-step explanation:

You can divide the shape into a square and right triangle, see the attachment :)

The area of the square is the length times the width. So,

3 · 3 = 9

The area of the square is 9 m².

The triangle's area is the base times the height divided by 2. So,

6 · 3 = 18

18 / 2 = 9

The triangle has an area of 9 m².

Add these together.

9 + 9 = 18

The area is 18 meters².

6 0

3 years ago

Evaluate f(x) = -4x + x2 + 16 for f(-4).​

Evaluate f(x) = -4x + x2 + 16 for f(-4).