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3 years ago

If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?

Mathematics

1 answer:

nikdorinn [45]3 years ago

5 0

Answer:

I think C is the answer .

Step-by-step explanation:

If (x-6) and (x-1) are the factors of function f then remainder of function f is 0.

(x-6)(x-1) = 0

Either,

x-6 = 0

x = 6

and

x-1 = 0

x = 1

so 6 and 1 are the zeros or roots of function f.

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If -48 equals 6(a) then a is what<br>

Oksi-84 [34.3K]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<em>Expression:</em>

$\frac{-48}{6}=\frac{6}{6}a$

$-8 = a$

Your answer is -8.

I hope this helps!

8 0

3 years ago

A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0

3 years ago

The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2

gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0

3 years ago

Read 2 more answers

Send help asap i hate school smh please i will give brainlist

inn [45]

Answer:

See below.

Step-by-step explanation:

The question tells us that 2.54 cm is equivalent to 1 inch. The next part wants to know what 5.08 cm is in inches. We can just divide 5.08 by 2.54 to figure that out.

5.08/2.54 = 2

This means that 5.08 cm is 2 inches.

The next one wants to know how many centimeters 10 inches is. We can 2.54 and multiply it by 10.

2.54 · 10 = 25.4

This means that 25.4 cm is 10 inches.

3 0

3 years ago

Math each value on the left with the number on the right that includes that value.

miss Akunina [59]

B is the right answer

8 0

3 years ago

Read 2 more answers