If f(x) = x^2 + 3x - 6, then f(x+2)=? a. x^2 + 1 b. x^2 + x + 1 c. x^2 + x + 10 d. x^2 + 7x + 4 e. x^2 + 7x + 12

Answers

Answer 1

Answer:

D: x^2 + 7x + 4

Explanation:

To solve this, we have to replace the x in the equation to x + 2.

f(x+2) = (x+2)^2 + 3(x+2) - 6

Now we multiply the parenthesis with the number next to it.

f(x+2) = x^2 + 4x + 4 + 3x + 6 - 6

For the (x+2)^2, it becomes (x+2)(x+2), and in order to multiply them, use FOIL (First, Inner, Outer, Last). First, we multiply the first two numbers (x and x) to get x^2. Then, we multiply the inner and outer numbers (x * 2 and x * 2) to get 2x and 2x. then, we add those together to get 4x. After that, you multiply the last two numbers (2 and 2) to get four! So: (x+2)(x+2) = x^2 + 4x + 4!

Finally, you can simplify the numbers first by adding / subtracting similar numbers (numbers with the same exponent)

f(x+2) = x^2 + 7x + 4

Your answer is D!


Related Questions

Who is 11 on this app

Answers

What , what you mean 11 on this app
11 y/o or as in 1-10 like as in looks and personality. ?

What are some tests for assessing each of the health-related components of fitness

Answers

Body composition: Body mass index (BMI). ...
Cardiorespiratory fitness: Twelve minute walk/run test to calculate a predicted maximal oxygen consumption test (VO2max/VO2peak).
Muscular strength and endurance: One-minute push-ups. ...
Flexibility: Sit and reach test. ...
Balance: Stork stand test.

Answer:

The fitness gram and pacer test

Explanation:

when using reducing balance method
straight line
sum digit method​

Answers

Answer:

straight line method:

depreciation=cost - residual value

number of years

1. D=8000-200 = 7800 = 1560

5. 5

2. D=1600-5000 = 11000 = 2750

4. 4

3.D= 7500-0 = 7500 = 2500

3. 3

4.D 14300-2800 = 11500 = 2300

5. 5

I am not really good at the rest of them but I hope this works

which of the following is equivalent to (3^x+1)(3^x-1)^2/9^x for all x? a. 3^2x-1 b. 3^x c. 3^x-1 d. 3^x-2 e. 3^3-x

Answers

Answer:

[tex]3^{x-1}[/tex]

Explanation:

Given

[tex]\frac{(3^{x+1})(3^{x-1})^2}{9^x}[/tex]

Required

Find its equivalent

[tex]\frac{(3^{x+1})(3^{x-1})^2}{9^x}[/tex]

Expand the numerator

[tex]\frac{(3^{x+1})(3^{x-1})(3^{x-1})}{9^x}[/tex]

Apply law of indices: [tex]a^m * a^n = a^{m+n}[/tex]

This gives

[tex]\frac{3^{x+1+x-1+x-1}}{9^x}[/tex]

Collect like terms

[tex]\frac{3^{x+x+x+1-1-1}}{9^x}[/tex]

[tex]\frac{3^{3x-1}}{9^x}[/tex]

Express [tex]9^x[/tex] as a factor of 3

[tex]\frac{3^{3x-1}}{3^2^x}[/tex]

Apply law of indices: [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This gives

[tex]3^{3x-1-2x}[/tex]

[tex]3^{3x-2x-1}[/tex]

[tex]3^{x-1}[/tex]

Hence,

[tex]\frac{(3^{x+1})(3^{x-1})^2}{9^x}[/tex] is equivalent to [tex]3^{x-1}[/tex]

Half the difference of 18 and a number n is equal to the sum of n and three. what is the value of n?

Answers

Answer:

n=12

Explanation:

First you have to write out the equation for the problem.

(18+n)/2=n+3

To get rid of the fraction, multiply both sides by 2.

18+n=2n+6

Now subtract n and subtract 6 from both sides and you will have your answer.

12=n

Answer:

n=4

Explanation:

(18-n)/2=n+3

2*((18-n)/2)=(n+3)*2

18-n=2n+6

  +n  +n

18    = 3n+6

-6             -6

12     =3n

÷3      ÷3

4=n

n=4

The Enlightenment is also known as the Age of Humanism. Rationalism. Reason. Secularism.

Answers

Answer:

The Enlightenment is also known as the Age of Reason.

Explanation:

This is because considered a time that man used his reason to discover the world.

Answer:

Reason

Explanation:

Morgan opens a savings account that earns simple interest at the rate of 4.5\%4.5%4, point, 5, percent annually. If she initially deposits \$50$50dollar sign, 50 in the account, what is the minimum number of years it will take for her savings to be at least \$68$68dollar sign, 68, assuming she makes no other deposits or withdrawals?

Answers

Answer:

8

Explanation:

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