Answer:
9.)
10.)
11.) minutes of calling would make the two plans equal.
12.) Company B.
Step-by-step explanation:
Let <em>t</em> equal the total cost, and <em>m,</em> minutes.
Set up your models for questions 9 & 10 like this:
<em>total cost = (cost per minute)# of minutes + monthly fee</em>
Substitute your values for #9:
Substitute your values for #10:
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To find how many minutes of calling would result in an equal total cost, we have to set the two models we just got equal to each other.
Let's subtract from both sides of the equation:
Subtract from both sides of the equation:
Divide by the coefficient of , in this case:
__
Let's substitute minutes into both of our original models from questions 9 & 10 to see which one the person should choose (the cheaper one).
Company A:
Multiply.
Add.
Company B:
Multiply.
Add.
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Answer:
10.5
Step-by-step explanation:
Answer:
Plot 1 - length of newborn kittens
Plot 2 - length of full-grown cats
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder
Area of the base of the cylinder =
Area of the cylinder 'wall' = width × length =
×
=
×
=
Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.
Surface area of cone is given by
where
is the slanted height of the cone
SA of cone =
Hence total painted surface area is
Since p = x² - 7, you can substitute/plug in p for x² - 7
So:
(x² - 7)² - 4x² + 28 = 5
(p)² - 4x² + 28 = 5 You can factor out -4 from (-4x² + 28)
p² - 4(x² - 7) = 5 Plug in p
p² - 4p = 5 Subtract 5
p² - 4p - 5 = 0 Your answer is C