All categories

3 years ago

G(x)=−2(x+1)(x+7) find the zeros

1 answer:

3 0

When finding zeros, the function has to equal zero. In other words, G(x) = 0.

For three multiplied parts to equal to zero, at least one has to be zero. -2 ≠ 0, but (x+1) or (x+7) can.

So you can equate each of those to zero and find out what the zeros are.

x+1=0
x=-1

x+7=0
x=-7

Thus the answer
x = -1 or -7

You might be interested in

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius

Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0

2 years ago

How do you do 69% as a fraction? Please show work.

MakcuM [25]

69% is the same as .69, which is the same as 69/100

7 0

3 years ago

Read 2 more answers

Use mental math to find a solution for 2 over eight= 3over x+2

-Dominant- [34]

The Answer: x= −12/7

5 0

3 years ago

Read 2 more answers

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

6 0

3 years ago

I need to understand question 14 and 15 and the last one cut off for tens in one

sp2606 [1]

Question # 14

Given the numbers

10 11 12 13 14 15 16 17 18 19 20

Let 'x' be the number

The condition breakdown:

I am less than 20.

So the number 'x' must be less than 20 i.e. x < 20

I am more than 13.

So the number 'x' must be greater than 13 i.e. x > 13

I am less than 17.

So the number 'x' must be less than 17 i.e. x < 17

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

Question # 15

Part a)

Given the numbers

10 11 12 13 14 15 16 17 18 19 20

Let 'x' be the number

The condition breakdown:

I am more than 10.

x > 10

I am less than 20.

x < 20

I am more than 12.

x > 12

I am less than 15.

x < 15

As the numbers left after all the conditions are fulfilled are 13 and 14.

But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

Chart

Tens Ones

1 4

6 0

3 years ago