Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
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<h3>use x=4</h3>
When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
<h3>solve 2-step equation</h3>
The <u>first step</u> is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The <u>second step</u> is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify
The number of bows that Penny makes per hour and the price the firm sells at shows that the value of the marginal product is $24.95 per hour.
The highest wage the firm will pay is $24.95 per hour.
<h3>What is the value of Penny's marginal product?</h3>
This can be found by the formula:
= Price x Marginal product of Penny
= 4.99 x 5
= $24.95 per hour
The highest wage the firm can pay would be the wage amount that equals their marginal revenue as this is the only way they can maximize profit.
Their marginal revenue in this case is the $24.95 per hour that they pay to Penny so this will be their highest wage to her as well.
Find out more on profit maximization at brainly.com/question/13749309.
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The question is asking for 1/3 of Molly’s length, which is 20 inches. The word of in this context indicates multiplication, which means you should multiply 20 by 1/3.
1/3 x 20 = 6.666666 (repeating) or 6.7 (rounded)
Therefore, Molly is 6.7 inches tall.
Hey! Your rational number would be 
What graph? Show me in the comments if you can.