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Ronch [10]
3 years ago
13

Find the solution to the system of equations below.

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

the answer is c.(3,-3)

:)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2, solve for g(f(3)). 5 7 9 10
AlladinOne [14]

The correct answer is 10.

In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).

f(x) = 2x + 1

f(3) = 2(3) + 1

f(3) = 6 + 1

f(3) = 7

Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).

g(x) = (3x - 1)/2

g(7) = (3(7) - 1)/ 2

g(7) = (21 - 1)/2

g(7) = 20/2

g(f(3)) = 10

5 0
3 years ago
Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent ?
Katena32 [7]

Answer: 29%

Step-by-step explanation:

You need to divide the rent, 8265, by the amount of money he earns.

8265/28500 is .29

Multiply that by 100 to get it in percent form

5 0
3 years ago
The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.
Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The  distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, h=15\ ft

The distance from the base of the pole to this point on the ground is, b=8\ ft

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2

Plug in the given values and solve for 'l'. This gives,

l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0
3 years ago
A discounted ticket for a football game costs $12.50 less than the original price.you pay $63 for a discounted ticket
Tanya [424]

Answer:

the original price is 75.50

Step-by-step explanation:

4 0
3 years ago
Which points are coplanar?<br> A. C,G,A,F<br> B. A,J,K,I<br> C. B,J,K,F<br> D. A,B,H,G
Damm [24]

Answer:

B, J, K, F. Because they are on the same side compared to the other answers.

Step-by-step explanation:

Coplanar points are three or more points which all lie in the same plane. Any set of three points in space is coplanar. A set of four points may be coplanar or may be not coplanar.

Plz mark brainliest!

4 0
2 years ago
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