Answer:
B. 2x - 5 = 2y + 14
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
From the choices given, we know the equation must have a <em>y</em> in front of the equal sign. The only answer choice that does not fit this is B.
Therefore, that is our answer.
Since Angie has 12 3/4 yards of fabric and all and each costume requires 7/8 yards, you can divide 12 3/4 by 7/8.
12 3/4 ÷ 7/8
= 51/4 ÷ 7/8
= 51/4 • 8/7 (remember that dividing by a fraction is the same thing as multiplying by it’s reciprocal)
= 51/1 • 2/7 (after simplifying)
= 102/7
= 14 4/7
Angie can make 14 costumes. She cannot make the 15th one because she’ll run short of fabric.
The number of machines that must be made to minimize the unit cost will be 230.
<h3>How to calculate the units?</h3>
From the information, the cost function is given as C(x)=0.9x²-414x+52,794. This will be differentiated.
C(x)=0.9x²-414x+52,794
C'(x) = d/dx(0.9x² - 414x + 52,794)
= 1.8x - 414
1.8x - 414 = 0
1.8x = 414
x = 414/1.8
x = 230
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