2 years ago

Solve the system of equations: y=2x y=x²-8

1 answer:

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Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0

Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2

Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8

Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4

There are two solutions
(4, 8) and (-2, -4)

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Elena's aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in int

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The worth of the bond is $307.50.

<h3>What is the worth of the bond?</h3>

The worth of the bond is the sum of the bond when it was bought and the interest earned on the bond.

Worth of the bond = interest rate + value when the bond was bought

Interest = 105% x $150

1.05 x $150 = $157.70

Worth of the bond = $157.70 + $150 = $307.50

To learn more about interest, please check: brainly.com/question/26164549

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