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Liono4ka [1.6K]
3 years ago
8

Solve 3x + 5y= 27.5 2x +3y =16 By elimination. What is the solution?

Mathematics
1 answer:
MrMuchimi3 years ago
4 0
3x+5y=27.5  ...(1)
2x+3y=16  ...(2)
multiply (1)by 2 and (2)by 3
6x+10y=55  ...(3)
6x+9y=48   ...(4)
subtract (4) from (3)
6x+10y-6x-9y=55-48
y=7
from (2)
2x+3(7)=16
2x=16-21
2x=-5
x=-5/2=-2.5

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What are the x-intercepts of this quadratic function? g(x) = -2(x − 4)(x + 1) A. (4,0) and (-1,0) B. (-4,0) and (-1,0) C. (4,0)
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Answer:

Option A. (4,0) and (-1,0)

Step-by-step explanation:

we know that

The equation of a vertical parabola in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

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In this problem we have

g(x)=-2(x-4)(x+1)

we have

a=-2

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Remember that the x-intercepts are the values of x when the value of the function is equal to zero

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7 0
3 years ago
Read 2 more answers
A cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. Using 3.14 for pi, which of the fo
muminat

Answer:

The volume of the cylinder is 6,104.16 square meters.

Step-by-step explanation:

Given that a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height, to determine, using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder, the following calculation must be done, knowing that the volume of a cylinder is determined by multiplying Pi by the height by the radius squared, and that the diameter of a circle is twice its radius:

3.14 x 6 x (6x3) ^ 2 = X

18.84 x 18 ^ 2 = X

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Therefore, the volume of the cylinder is 6,104.16 square meters.

3 0
3 years ago
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3 years ago
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The sum of two numbers is 54 The difference of the two numbers is 116 Find the numbers
vlada-n [284]
Answer:
85 and -31

step-by-step:
x + y = 54
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sub into second equation
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x = 54 - (-31)
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3 years ago
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