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ValentinkaMS [17]
2 years ago
7

Given the functions f(x) = 7x + 13 and g(x) = x2 + 2, which of the following functions represents f[g(x)] correctly?

Mathematics
1 answer:
ziro4ka [17]2 years ago
4 0

Answer:

f[g(x)] = 7x2+27

Step-by-step explanation:

This represents the function of f[g(x)] because it replaces the x in f(x) with g(x)

f[g(x)] = 7(x2+2)+13

f[g(x)] = 7x2+14+13

f[g(x)] = 7x2 +27

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What are the solution
AleksandrR [38]

Answer:

B

Step-by-step explanation:

We can get two equations from the inequality:

3x+2>9\\3x+2>-9

We just need to simplify both equations to get our answers:

3x+2>9\\3x>7\\x>\frac{7}{3}

3x+2>-9\\3x>-11\\x>\frac{-11}{3}

The two answers we get are:

x\frac{7}{3}

Which is also B.

3 0
2 years ago
Duke and Mary collect stamps. Duke has 1,364 stamps, and Mary has 1,808 stamps. How many stamps do they have in all?
Alex73 [517]

Answer:

Mary and Duke have 3,172 stamps altogether

1,364 + 1,808 = 3,172

8 0
2 years ago
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Choose the inverse of y = x2 - 10x.
PilotLPTM [1.2K]

=Y2-10Y

We move all terms to the left:

-(Y2-10Y)=0

We add all the numbers together, and all the variables

-(+Y^2-10Y)=0

We get rid of parentheses

-Y^2+10Y=0

We add all the numbers together, and all the variables

-1Y^2+10Y=0

a = -1; b = 10; c = 0;

Δ = b2-4ac

Δ = 102-4·(-1)·0

Δ = 100

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

3 0
3 years ago
What is 81 = 3x <br><br> plz help will give phone number and brainlest
Nadya [2.5K]

Answer:

x= 27

Step-by-step explanation:

81=3x

divide by 3

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7 0
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A student factors a6 - 64 to (a2 - 4)(a4 + 4a2 + 16).Which statement about (a2 − 4)(a4 + 4a2 + 16) is correct?
IrinaK [193]

Answer:

Option (b) is correct.

The expression is equivalent, but the   term is not completely factored.

Step-by-step explanation:

Given :  a student factors  to

We have to choose the correct statement  about   from the given options.

Given   is factored to

Consider    

Using algebraic identity,

comparing  and b = 4, we have,

Thus, the factorization is equivalent but we can simplify it further also, as

Using algebraic identity,

Thus,

Can be written as

Thus, the expression is equivalent, but the   term is not completely factored.

Option (b) is correct.

4 0
2 years ago
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