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Mekhanik [1.2K]
3 years ago
10

Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1)). (1 point)

Mathematics
2 answers:
Alex73 [517]3 years ago
3 0
Hello,

f(x)=x-2
g(x)=x²-7x-9

f(g(x))=f(x²-7x-9)=x²-7x-9-2=x²-7x-11

f(g(-1))=(-1)²-7*(-1)-11=1+7-11=-3

Answer B
Mila [183]3 years ago
3 0

B is the correct answer I would show how to do it but the other person who answered this question explained it the same way I would.

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Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original c
klemol [59]

Answer:

Each of the 4 people will get 1/24 of the original cake

Step-by-step explanation:

The fractional part of cake left out is 1/6

This remaining cake is to be divided among four people.

Thus, each person will get

fractional part of cake left/total number of people

i.e 1/6/4

= 1/24

Each of the 4 people will get 1/24 of the original cake

3 0
2 years ago
H(x)=4x-2 find h(-9)
ki77a [65]

Answer:

34

Step-by-step explanation:

H(x) = 4x-2

H(-9) = 4(9)-2

H(-9) = 36 -2

H(-9) = 34

7 0
3 years ago
Find the sum of the geometric sequence. three divided by two, three divided by eight, three divided by thirty two, three divided
Lynna [10]

Answer: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

Step-by-step explanation: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it 

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where 

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

so

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

8 0
3 years ago
Find the area of the blue sector of the circle. Round to the nearest hundredth.
Varvara68 [4.7K]
A diagram must be associated with the question above. Based on what I researched, this is what I got.

The blue sector of the circle is 120 degrees.

area of the blue sector = 1/3  of pi * 2^2
                                     = 4.19cm2

I hope this answer helps.
8 0
3 years ago
How to factor <br><img src="https://tex.z-dn.net/?f=3x%20-%203" id="TexFormula1" title="3x - 3" alt="3x - 3" align="absmiddle" c
Lena [83]
Take out common factor, 3 :

3x - 3 = 3(x - 1)

------------------------------------
Answer: 3(x - 1)
------------------------------------
6 0
3 years ago
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