Solve the system of equations by substitution.
X=-4y
X+5y=2

Answers

Answer 1
Answer: x= -4y  let this be equation 1
x+5y=2 let this be equation 2

substitute equation 1 in 2

-4y + 5y = 2

y=2

substitute the value of y in equation 1

x= -4y
x= -4(2)
x= -8
Answer 2
Answer:

Answer:

It's simply:

x = (-8,2)


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An electronics company has been producing 1705 CD players a day working two shifts. The second shift has produced 95 Cd players fewer than four-fifths of the number of Cd players produced by the first shift. Determine the number of CD players produced by the second shift.

Answers

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In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

Answers

The right answer for the question that is being asked and shown above is that: In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

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Answers

Answer: What is your question?

Step-by-step explanation:

Answer: An art-supply store sells a pad of watercolor paper after a 78% markup. If the store sells the paper.

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i know math

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

Answers

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

-10x² + 160x - 480 = 0

Divide through by -10

x² - 16x + 48 = 0

Solve the quadratic equation using factorization method

+48 = -12 × -4

-16 = -12 -4

Therefore,

-12 and -4 are both factors

x² - 16x + 48 = 0

(x - 4 )(x - 12 ) = 0

x - 4 = 0

x = 4

OR

x - 12 = 0

x = 12

Answer:

Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).

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Which equation represents this statement? One-third of a number is 21.

Answers

this states that a number divided by 3 is 21. the equation is: n/3 = 21