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3 years ago

Find the area of the largest rectangle with lower base on the x axis and upper vertices on the parabola y=12-x^2

1 answer:

7 0

Draw a picture of the downward-facing parabola, and of a rectangle of the type described. Let (x,y) be the upper right-hand corner of the rectangle. Then by symmetry, the base of the rectangle has length 2x, and the height is y, that is, 12−x2. So the area A(x) of the rectangle is given by A(x)=2x(12−x2).

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A company collected $7,800 by selling shoes. The company had $6,084 left after paying the tax. What was the percentage of tax?

dezoksy [38]

Answer:

22%

Step-by-step explanation:

The percentage of tax can be found by calculating the percent change.

new - old / old

6084 - 7800 / 7800

= -0.22 or -22%

This means the price decreased by 22%, meaning you paid 22% in taxes.

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4 0

2 years ago

6 fl oz= how many cups

natima [27]

1 oz = 0.125 cups so 6 oz = 0.75 cups

Hope this helps!

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2 years ago

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Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou

Bond [772]

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

5 0

3 years ago

Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi

ipn [44]

Answer:

$Rate = 1.1/hr$

Step-by-step explanation:

Given

$Start = 23$

$End = 16$

$Hours = 6\frac{1}{2}h$

Required

Determine the hourly rate

First, we need to determine the ice cream sold

$Ice\ Cream = 23 - 16$

$Ice\ Cream = 7$

Next, we calculate the hourly rate:

$Rate = Ice\ Cream/Hours$

$Rate = 7/6\frac{1}{2}h$

$Rate = 7/\frac{13}{2}h$

$Rate = 7*\frac{2}{13h}$

$Rate = \frac{14}{13h}$

$Rate = 1.07692307692/hr$

$Rate = 1.1/hr$ -- Approximated

4 0

2 years ago

Read 2 more answers

What is the inverse of the function f (x) = 3(x + 5)2 – 4, such that x ≤ –5?

natali 33 [55]

The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.

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1 year ago