What is the solution set of 4x=y and 2x^2-y=0

1 answer:

5 0

The equation 4x = y is solve for y so we can substitute the expression 4x for y in the other equation.

2x² - (4x) = 0 ← Substituted 4x for y...Hug'em when you plug'em (use ( )s)
2x² - 4x = 0 ← prepare to factor
2x(x - 2) = 0 ← factored out the GCF
2x = 0 or x - 2 = 0 ← zero product property
x = 0 or x = 2 ← solved each mini equation
If x = 0, then y = 4(0) = 0. (0, 0) is a solution
If x = 2, then y = 4(2) = 8. (2, 8) is a solution
The solution set is {(0,0), (2,8)}

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Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going t

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Answer:

Step-by-step explanation:

The question is not complete, i think the correct question is:

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today

Let us assume that each acre of land on Mars cost $107.

a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:

y = 770 + 30x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 770 + 30x

1070 - 770 = 30x

30 x = 300

x = 300/30

x = 10

It would take 10 months for Kareem to buy 10 acres of land

b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:

y = 935 + 45x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 935 + 45x

1070 - 935 = 45x

45 x = 135

x = 3

It would take 3 months for Kira to buy 10 acres of land

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3 years ago

Determine algebraically all points where the graphs of XY equal 10 and Y equals X +3 intersect

Gelneren [198K]

XY=10
Y=X+3
X(X+3)=10
X^2+3X=10
X^2+3X-10
(X-2)(X+5)

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3 years ago