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Tresset [83]
3 years ago
5

Question 1) Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Question 1)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

F(G(x)) = 3(2x - 3)^2 + 1

F(G(x)) =3(4x^2 - 12x + 9) + 1

F(G(x)) = 12x^2 - 36x + 27 + 1

F(G(x)) =12x^2 - 36x + 28

Question 2)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

H -1 (x) = x (inverse)

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454 rounded to the nearest ten
Bezzdna [24]
Hey!

454 rounded to the nearest ten is: 450

This is because 4 is less than five, which is why we would round it to 50.
3 0
3 years ago
Read 2 more answers
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44. (pls show an equation to determine S
Nimfa-mama [501]

Answer:

64=4(a-44)

Step-by-step explanation:

64=4(a-44)

64=4a-176

64+176=4a

240=4a

4a=240

a=240/4

a=60 years old

6 0
3 years ago
You are constructing triangle ABC given the line segments AB and AC and ∠A. The first thing you do is copy segment AC. Next, you
kondaur [170]

Answer:

  C)  Copy AB

Step-by-step explanation:

The general idea is that you copy one segment, then the angle (so you know which direction the other segment goes), then the second segment. Finally, you connect the ends of the segments to complete the triangle.

The given description says you've done the first two parts of this, so you must mark off the length of segment AB in the direction you just constructed. That is, you must ...

  Copy AB.

_____

In the attached figure, the construction did segment AB first, and is about to do segment AC next. The idea is the same. Swap points B and C in your mind to match the description in the problem statement.

7 0
3 years ago
Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, co
zvonat [6]

Answer: 180 times

Step-by-step explanation:

Given the following :

Production capacity of old workshop :22,912,546,992 toys per year

Production capacity of new workshop:

4,134,232,638,937 toys

Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?

Production capacity of new workshop / production capacity of old workshop

= 4,134,232,638,937 / 22,912,546,992

= 180.435

= 180 ( nearest whole number)

3 0
4 years ago
Solve for a. 1/5(25−5a)=4−a
aalyn [17]
1/5(25-5a)=4-a
⇔5-a=4-a
<span>NO SOLUTION</span>
3 0
3 years ago
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