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Ray Of Light [21]
3 years ago
10

Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We are given the two functions:

f(x)=4x+5\text{ and } g(x)=x^2-2x-2

And we want to find:

(f+g)(x)

This is equivalent to:

=f(x)+g(x)

Substitute:

=(4x+5)+(x^2-2x-2)

Rearrange:

=(x^2)+(4x-2x)+(5-2)

Combine like terms. Hence:

(f+g)(x)=x^2+2x+3

Our answer is A.

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Simplify (x-4) (4^2+x-6)​
julsineya [31]

Answer:

(x-4)(x+10)

Step-by-step explanation:

8 0
2 years ago
Which expression is equivalent
Tatiana [17]

Given expression is

\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}

Radical is fourth root

first we simplify the terms inside the radical

\frac{x^{11}}{x^7}=x^4

\frac{y^(8)}{y^6}=y^2

So the expression becomes

\sqrt[4]{\frac{16x^4y^2}{81}}

Now we take fourth root

\sqrt[4]{16} = 2

\sqrt[4]{81} = 3

\sqrt[4]{x^4} = x

We cannot simplify fourth root (y^2)

After simplification , expression becomes

\frac{2x\sqrt[4]{y^2}}{3}

Answer is option B


8 0
3 years ago
The mean of six test scores is 83.what is the sum of the six test scores?
Fittoniya [83]
Mean = total score : frequency
mean x frequency = total score

so
83 = total score : 6
83 × 6 = total score
498 = total score

so the sum of the 6 test scores is 498
6 0
3 years ago
The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols
chubhunter [2.5K]
Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
6 0
3 years ago
Read 2 more answers
Can someone plz help me find the area for this composite figure plzzzz I beg u
Anarel [89]

S_1 = \frac{a+b}{2}h = \frac{7+9}{2}*5=\frac{18*5}{2}= 9 * 5 = 45~m^2

S_\triangle = \frac{ab}{2} = \frac{5*9}{2} = \frac{45}{2} = 22,5~m^2

S = S_1 + S_\triangle = 45 + 22,5 = 67,5~m^2

Answer: 67,5 m².

5 0
3 years ago
Read 2 more answers
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