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qaws [65]
3 years ago
13

I NEED HELP WITH THIS ASAP!! Please!

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

f(g(x)) = 3(2x^3 -2)^2 - 4x + 2, and f(g(3)) = 3[2(3)^3 -2]^2 -4*3 -2 = 8102

Step-by-step explanation:

because for f(g(x)), the g(x) is the input of f(x), so put 2x^3 -2 into 3x^2 -4x +2, and you will get f(g(x)). because g(3) is the input of f(x), so find g(3) first, the answer is 52, and then put it back into f(x) which will be f(52) =[3(52)^2 - 4(3) +2], then the answer should be 8102.

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On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0
2 years ago
Find a. Write your answer in simplest radical form.
NeTakaya

Answer:

\sin(60)  =  \frac{5 \sqrt{3} }{a}  \\  \\  \frac{ \sqrt{3} }{2}  =  \frac{5 \sqrt{3} }{a}  \\  \\ a =  \frac{2 \times 5 \sqrt{3} }{ \sqrt{3} }  \\  \\ a = 10

3 0
2 years ago
At a hardware store, each wooden plank costs $3.57. How much do 12 planks cost?
777dan777 [17]
To find this answer, we need to multiply 3.57 by 12.
3.57 * 12 = 42.84
Therefore, 12 planks will cost $42.84.
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!!! i’ll mark brainlest
Doss [256]

Answer: A) 5 x 1/2

Step-by-step explanation: 5 x 1/2 yields 2.5, which is also the answer to 5 / 2.

7 0
2 years ago
Read 2 more answers
Use the side-splitter theorem to solve for x in the triangle below.
fiasKO [112]

Answer:

x = 7

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

\frac{x}{21} = \frac{8}{24}

Solve for x

\frac{x}{21} = \frac{1}{3}

Multiply both sides by 21

\frac{x}{21}*21 = \frac{1}{3}*21

x = \frac{21}{3}

x = 7

8 0
2 years ago
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