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mina [271]
3 years ago
11

Given f(x)=4x+6 and g(x)=9x+9 then what is f(g(−6))?

Mathematics
2 answers:
irakobra [83]3 years ago
5 0
To solve this question, you can break it into 2 parts. First evaluate the function g(X)=9x+9 for g(-6). Which is g(-6) = 9(-6)+9 = -45. Then evaluate f(-45). F(-45)= 4(-45)+6= -180+6= -174. The final answer for f(g(-6))= -174.
Margarita [4]3 years ago
3 0
F(x)=4x+6
g(x)=9x+9f(g(−6))

f(x)·g(x) = (4x+6)(9x+9)
f(x)·g(x) = 36x^2 +36x+54x+54
f(x)·g(x) = 3<span>6x^2 +90x+54
</span>f(x)·g(x) = 3<span>6(-6)^2 +90(-6)+54
</span>f(x)·g(x) = 3<span>6(36)+90(-6)+54
</span>f(x)·g(x) = 1296<span>+(-540)+54
</span>f(x)·g(x) = 1296-540+54
f(x)·g(x) = 810
<span>f(g(−6)) = 810</span>
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I need help boi a(c – b) = d c =
alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:

c = d/a + b


Discussion:

I think the Question is missing a comma.  Assuming you are trying to find the value "c",

a(c-b) = d  =>                               divide both side by "a"

(c-b) = d/a =>                               add "b" to both sides

c-b + b = d/a + b =>                      as -b + b = 0

c = d/a + b




Thank you,

MrB

5 0
3 years ago
The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately
Vanyuwa [196]

Answer:

a. S = {A,B,AB,O}

b. P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c. 0.45 = 45% probability that the person chosen at random has either type A or type AB blood

Step-by-step explanation:

a List the sample space for this experiment.

All possible blood types(A, B, AB or O). So

S = {A,B,AB,O}

b Make use of the information given above to assign probabilities to each of the simple events.

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively.

So

P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c What is the probability that the person chosen at random has either type A or type AB blood

P(A) + P(AB) = 0.41 + 0.04 = 0.45

0.45 = 45% probability that the person chosen at random has either type A or type AB blood

6 0
2 years ago
Richard and Teo have a combined age of 26 . Richard is5 years older than twice​ Teo's age. How old are Richard and​ Teo?
loris [4]

Answer:Teo's age = 7 years ,Richard's age = 19 years

Step-by-step explanation:

Step 1

Let Teo's age be represented as x

Such that Richard 's age = 5 + 2x

and their combined ages equaling 26 can be expressed as

x + 5+ 2x = 26

Step 2 --- SOLVING

x + 5+ 2x = 26

3x+ 5= 26

3x= 26-5

3x= 21

x = 21/3

x = 7

Teo's age = 7 years

Richard's age = 5+2x= 5 + 14= 19 years

8 0
3 years ago
ABC and QRS are complementary angles. ABC=52, what is QRS?
dedylja [7]

Answer:

QRS=38

Step-by-step explanation:

90-52=38

6 0
2 years ago
Which set of values could be from a direct proportion?
Phantasy [73]
It is A, because a direct proportion follows the rule y=kx, and in A, k = 12 and it works for all of the x and y values
6 0
3 years ago
Read 2 more answers
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