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2 years ago

Can someone help me?

Mathematics

1 answer:

True [87]2 years ago

8 0

Answer:

117

Step-by-step explanation:

If the maximum amount of campers per employee is 9 and there can be 13 employees 9x13=117

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Factor completely x^4-17x^2+16

Snowcat [4.5K]

Answer:

(x - 1) (x + 1) (x - 4) (x + 4)

Step-by-step explanation:

actor the following:

x^4 - 17 x^2 + 16

x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:

(x^2)^2 - 17 x^2 + 16

The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):

(x^2 - 1) (x^2 - 16)

x^2 - 16 = x^2 - 4^2:

(x^2 - 1) (x^2 - 4^2)

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

(x - 4) (x + 4) (x^2 - 1)

x^2 - 1 = x^2 - 1^2:

(x^2 - 1^2) (x - 4) (x + 4)

Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):

Answer: (x - 1) (x + 1) (x - 4) (x + 4)

4 0

3 years ago

Sarah has $55.00 to spend

GenaCL600 [577]

The equation that models the relationship between the amount of money Sarah has left is 55- 0.65x= y

8 0

3 years ago

"a pollster wishes to estimate the number of left-handed scientists. how large of a sample is needed in order to be 98% confiden

nadezda [96]

The sample size should be 250.

Our margin of error is 4%, or 0.04. We use the formula

$\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

$0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}$

Divide both sides by 2.33:
$\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}$

Square both sides:
$(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}$

Multiply both sides by n:
$(\frac{0.04}{2.33})^2n=0.08(0.92)$

Divide both sides to isolate n:
$\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250$

4 0

3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2

Debora [2.8K]

Answer:

x=1 and x=0

Step-by-step explanation:

We need to find the points at which the graphs y = x^2 + x – 2 and y = 2x – 2 intercept.

We know that:

x^2 + x – 2 = 2x – 2

x^2 - x = 0

Factorizing:

x(x-1) = 0

Therefore, the solution to the system of equation is x=1 and x=0.

6 0

3 years ago

Ghchdhdjfhfjfjfjfjfjdjdjdjf

Artyom0805 [142]

Answer:

iugyvhjbnkijogyutfvbh

Step-by-step explanation:

8 0

3 years ago

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