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abruzzese [7]
3 years ago
5

Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST

Mathematics
1 answer:
scoray [572]3 years ago
8 0

f(x) =5-3x

g(x)=x²-1

f(g(x)) = f(x²-1)

replacing x by x²-1 in the function f(x) , we get

f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²

f(g(x)) =8-3x²

now finding g(f(x))

g(5-3x)

replacing x by 5-3x in the function g(x)

g(5-3x) = (5-3x)²-1

g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24

g(f(x))= 9x²-30x +24

f(g(x)) =8-3x²

in option third the f(g(x)) is -3x³+8 which is incorrect

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3 years ago
HELP! I will mark you the brainiest!
Ymorist [56]
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6 0
4 years ago
Read 2 more answers
HELP!! Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Rashid [163]

Answer:

20

85%

Step-by-step explanation:

You are given the function S(n)=20\cdot b^n.

If n  is the number of hours, then initially n=0 and

S(0)=20\cdot b^0=20\cdot 1=20.

If S(n) is the function of exponential growth, then it can be represented as

S(n)=I\cdot (1+r)^n,

where I is the initial amount, r -is the percent growth rate and n is the number of hours.

If b = 1.85, we can represent it as b = 1 + 0.85. Thus, the hourly percent growth rate of the bacteria would be 0.85=85%.

8 0
3 years ago
Read 2 more answers
Find the average rate of change of f ( x ) = 7x^2 − 6 on the interval [ 3 , a ] . Your answer will be an expression involving a
slega [8]

Answer:

\frac{7a^2-63}{a-3}

Step-by-step explanation:

So what is the average rate of change?  Basically, it's the slope.  In fact it's exactly the slope for a linear equation, but how do you find slope?

\frac{y_2-y_1}{x_2-x_1}

Sp we just plug the values in.  

x_1=3\\x_2=a\\y_1=7(3)^2-6=63-6=57\\y_2=7(a)^2-6

\frac{7a^2-6-57}{a-3}=\frac{7a^2-63}{a-3}

3 0
3 years ago
What is the probability that a student randomly selected from a class of 60 students will be a male who has brown hair?
vovikov84 [41]

Answer:

1/6 ( under not enough of other criteria)

Step-by-step explanation:

total of student: 60

1/3 male: 60 x 1/3 = 20

Female = 60 - 20 = 40

1/2 with brown hair: 60 x 1/2 = 30

It seems the answer of 20/60 x 30/60 = 1/3 x 1/2 = 1/6 is the result, but consider the brown hair number is larger than male student (30 vs 20). Therefore there can have the chance of all the boys are brown hair and be chosen, then the probability will become 20/60 = 1/3. While probability result is not a certain result, it only to predict how likely things are to happen.

Therefore I think 1/6 is an answer.

6 0
4 years ago
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