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Musya8 [376]
3 years ago
10

Question 3 Solve this system by using the elimination method. 4x + 2y = 8 5x + 3y = 9

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

x=3, y=-2. (3, -2).

Step-by-step explanation:

4x+2y=8

5x+3y=9

---------------

simplify 4x+2y=8 into 2x+y=4

-----------------

2x+y=4

5x+3y=9

----------------

y=4-2x

5x+3(4-2x)=9

5x+12-6x=9

-x=9-12

-x=-3

x=3

2(3)+y=4

6+y=4

y=4-6

y=-2

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Answer:

The inverse of the function h(x) is h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}.

Step-by-step explanation:

The given function is

h(x)=\dfrac{5}{2}x+4

Replace h(x) by y.

y=\dfrac{5}{2}x+4

Interchange x and y.

x=\dfrac{5}{2}y+4

Subtract 4 from both sides to isolate variable y,

x-4=\dfrac{5}{2}y

Multiply both sides by 2.

2x-8=5y

Divide both sides by 5.

\frac{2}{5}x-\frac{8}{5}=y

Replace y by h⁻¹(x).

h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}

Therefore the inverse of the function h(x) is h^{-1}(x)=\frac{2}{5}x-\frac{8}{5}.

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Option A.

Step-by-step explanation:

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What choice is a solution to the system of equations? y=2x-3 y-9=-x
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<u>Step-by-step explanation:</u>

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Surface Area of Original Sphere:

S.A. = 4πr²

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Surface Area of New Sphere:

S.A. = 4πr²

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<em>The negative sign represents a decrease.</em>

*********************************************************************************

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V=\pi r^2h\\\\.\quad =\pi (3)^2(6)\\\\.\quad =54\pi

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