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3 years ago

Use the substitution method to solve the following system of equations:

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 3 → (1)

x + 2y = 0 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 2y → (3)

Substitute x = - 2y into (1)

3(- 2y) + 5y = 3

- 6y + 5y = 3

- y = 3 ( multiply both sides by - 1 )

y = - 3

Substitute y = - 3 into (3) for corresponding value of x

x = - 2(- 3) = 6

Solution is (6, - 3 )

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3 years ago

Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?

andrey2020 [161]

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Explanation:

Given that the function f(x) is $f(x)=\frac{1}{2} x^{2}+4$

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We need to determine the equation of g(x)

<u>Equation of g(x):</u>

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

$g(x)=4 f(x)$

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2 years ago