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aliya0001 [1]
3 years ago
9

If f(x) = 3x2 - 1 and g(x) = x+2, find (f+g)(x)​

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

3x^2 + x + 1

Step-by-step explanation:

(f+g)(x) just wants you to add f(x) and g(x) together.

If f(x) = 3x^2 - 1 and g(x) = x + 2, you can add them together like so:

(3x^2 - 1) + (x + 2)

Combine like terms and add -1 and 2 together.

3x^2 + 1 + x

Rewrite this expression so it is in standard form (the exponents are in order from greatest to least).

3x^2 + x + 1

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What are the different ways of solving systems of linear equations?
Juliette [100K]

1) Graphing- If you graph the numbers you will easily be able to identify the answer.

2) Substitute- Substitute numbers in for x or y until they're equal on both sides.

EX: 2x+2=10

Substitute numbers in until you get a number that makes it equal on both sides

x= 4

3) Elimination- Eliminate numbers from both sides until they're equal.

Hope this helped! :)

5 0
3 years ago
Maria has decided to invest to help with her retirement savings. How much would she have to invest to have $113,400 after 20 yea
Ipatiy [6.2K]

Answer:

$56,226

Step-by-step explanation:

x = investment

Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;

Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;

We can formulate an equation to solve to get the initial investment:

x(1.0357)²⁰ = 113400

(2.01687752)x = 113400

x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎

x = 56225.5263 → 56226

5 0
3 years ago
Five spheres are being painted for a display at a store. If the diameter of each sphere is
ivanzaharov [21]
<h2>Hello!</h2>

The answer is:

The total area is:

TotalArea=192.4cm^{2}

<h2>Why?</h2>

To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.

We know that the diameter of each sphere is 7 centimeters, so, calculating we have:

Calculating the radius we have,

diameter=2*radius\\\\radius=\frac{diameter}{2}=\frac{7cm}{2}=3.5cm

Then, calculating the area, we have:

Area=\pi radius^{2}

Area=\pi 3.5cm^{2}=38.49cm^{2}

Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.

So, calculating we have:

TotalArea=5*38.48cm^{2}=192.4cm^{2}

Hence, the total area is:

TotalArea=192.4cm^{2}

Have a nice day!

4 0
3 years ago
The population of Pinecrest is 18,000. Lakewood's population is 21/25 of Pinecrest. What is Lakewood's population.
Alina [70]
18,000* (21/25)= 15,120.

The population of Lakewood is 15,120.

Hope this would help~
6 0
4 years ago
Read 2 more answers
Can someone help me with exercise #5 pls
jolli1 [7]

Answer/Step-by-step explanation:

Exercise 5:

a. 180 pages was read in 5 days

Unit rate = pages per day = 180 pages ÷ 5 = 36 pages per day.

b. Number of pages of the book = 765 pages

Unit rate = 36 pages per day

Number of days to read the book = 765/36 = 21.25

It will take Kirk about 22 days to finish reading the book.

5 0
3 years ago
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