1
a numerator in a fraction is the top number
Answer:Katie is 100 cm tall and is standing so that her mother's shado covers her shadow. She is 90 cm from her mother and her mother's shadow is 225cm long. How tall is her mother?
Step-by-step explanation:
The Profit = Revenue - CostP ( x ) = ( 40 x - 0.5 x² ) - ( 5 x + 15 ) = = 40 x - 0.5 x² - 5 x - 15 = - 0.5 x² + 35 x - 15The maximum profit is when: P`( x ) = 0P ` ( x ) = ( - 0.5 x² + 35 x - 15 ) ` = - x + 35- x + 35 = 0x = 35 ( the number of units )P max = - 0.5 · 35² + 35 · 35 - 15 = - 612.5 + 1225 - 15 = 597.5Answer: The maximum profit is 597.5 and the number of units is 35.
Answer:
2
Step-by-step explanation:
The slope-intercept form is
y=mx+b, where m is the slope and b is the y-intercept.y=mx+bRewrite in slope-intercept form.Simplify 2(x+1).Apply the distributive property.
y+5=2x+2⋅1
multiply 2 by 1.
y+5=2x+2
y+5=2x+2
Move all terms not containing y to the right side of the equation.Subtract 5 from both sides of the equation.
y=2x+2−5
y=2x−3
the slope is the "m" so the slope is 2
