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Vedmedyk [2.9K]
3 years ago
12

If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x). please help :C

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
7 0

Answer:

5x-2

Step-by-step explanation:

If f(x) = 3x – 2 and g(x) = 2x + 1

we need to find (f + g)(x)

(f + g)(x)= f(x) + g(x)

Replace f(x) and g(x) in the given equation

(f + g)(x)= f(x) + g(x)=3x-3+2x+1

Now we combine like terms

(f + g)(x)= f(x) + g(x)=3x-3+2x+1=5x-2

(f + g)(x)=5x-2

Luba_88 [7]3 years ago
3 0
(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x-2 + 2x+1

(f+g)(x) = (3x+2x) + (-2+1)

(f+g)(x) = 5x - 1
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Yes

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If you perform the vertical line test, each row where there is a point only gets hit once, if it got hit twice it would not be a function.

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Step-by-step explanation:

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2 years ago
As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have T = 1.9855.

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{5.6}{\sqrt{96}} = 0.57

Now, we multiply T and s

M = T*s = 1.9855*0.57 = 1.31

For the lower end of the interval, we subtract the mean by M. So 19.6 - 1.31 = 18.29

For the upper end of the interval, we add the mean to M. So 19.6 + 1.31 = 20.91

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
3 years ago
What are the solutions to x2 + 8x + 7 = 0?
Ymorist [56]
The answer is x=-7 and x=-1
6 0
2 years ago
MIDDLE SCHOOL MATH DONT ANSWER IF YOU DONT KNO-<br> WILL GIVE BRAINLIEST
Juli2301 [7.4K]

Answer:

Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>

Step-by-step explanation:

1. Find circumference with the Formula <u>C=πd</u>

C=3.14 x 5.6

<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>

2. Radius is Always half of the Diameter.

5.6/2 = 2.8

<em><u>2.8 is your radius.</u></em>

3. If you want to check you work try the formula C=2πr to see if things checks out.

C=2 x 3.14 x 2.8

<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>

<u><em /></u>

<u><em>Hope this Helps!</em></u>

3 0
2 years ago
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