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3 years ago

7

For f(x) = x2 + 8x + 9, evaluate f(x + 2) − f(x). Simplify.

1 answer:

FromTheMoon [43]3 years ago

3 0

Answer:

f(x) = x² + 8x + 9, f(x + 2) - f(x)

↓

4x + 20

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Solve the system of equations using elimination. 2x + y = 9 8x – 2y = 6

Anika [276]

<span>(1) 2x + y = 9
</span><span>(2) 8x – 2y = 6
</span>
You can eliminate the x or the y. I am going to eliminate the y

First multiply the first equation 2x + y = 9 by 2.
2x + y = 9
2(2x + y = 9)
4x +2y = 18
Now we have a new equation that we can use and we can eliminate the y from the other equation because +2y - 2y = 0. Lets do that now and solve for x.

4x +2y = 18
8x – 2y = 6
12x = 24
12x / 12 = 24 / 12
x = 2
So we found the value of x, which is 2. To find y, insert 2 into one of the original equations. I am going to use 2x + y = 9
2x + y = 9
2(2) + y = 9
4 + y = 9
-4 + 4 + y = 9 - 4
y = 9 - 4
y = 5
y = 5.

Our point is at (x, y) = (2,5)
x = 2
y = 5

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3 years ago

Write in point-slope form an equation of the line through each pair of points

Ratling [72]

Answer:

Answer:

Solution given:

$(x_1,y_1)=(7,11)$

$(x_2,y_2)=(13,17)$

now

slope: $\frac{y_2-y_1}{x_2-x_1}=\frac{17-11}{13-7}=\frac{6}{6}$

Slope: 1

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3 years ago

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Find the annual interest rate. Round your answer to the nearest hundredth of a percent. I=$160.67, P=$2000, t=8 monthsI=$160.67,

Keith_Richards [23]

Answer:

The annual interest rate is 12.05%.

Step-by-step explanation:

The simple interest is given by the formula:

$I=\dfrac{P\times R\times T}{100}$

Where I denotes interest.

P denotes the principal amount.

R denotes the rate of interest

and T denotes the time period.

I=$160.67, P=$2000, t=8 months=8/12 years (Since 12 months=1 year so 1 month=1/12 year)

$160.67=\dfrac{2000\times R \times \dfrac{8}{12}}{100}\\\\R=12.05%$

Hence, the annual interest rate is 12.05%.

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3 years ago

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Don works in home construction. He determined that the function t(A)=144A/9.252 gives the total number of 9 in. tiles needed to

Oksanka [162]

Answer:

6,226 tiles of 9 in are needed to cover an area of 400 square feet

Step-by-step explanation:

Let

A -----> an area in square feet

t(A) ---> the total number of 9 in. tiles needed

we have

$t(A)=\frac{144A}{9.252}$

For A=400 ft^2

substitute in the equation and solve for t

$t(400)=\frac{144(400)}{9.252}$

$t(400)=6,226\ tiles$

That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet

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3 years ago

5. A car wash uses 50 gallons of water every

ira [324]

Answer:

1.25 gallons per second

Step-by-step explanation:

To figure this out divide 50 by 40

I don't know how to explain this further, hope this is good enough.

- Que

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3 years ago

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