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Rainbow [258]
2 years ago
7

Find the equation of the line thatcpasses through (3, 1) and is parallel to y=1-2x.​

Mathematics
1 answer:
Anna11 [10]2 years ago
5 0
Slope of y=1-2x is -2
Using point intercept form:
y-1=-2(x-3)
y-1=-2x+6
y=-2x+7
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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

For maximum volume

\frac{dV}{dA} =0

\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

Volume of the box

= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

= 7969 cubic centimeter

3 0
3 years ago
The school paper charges $1.50 for an ad, plus 25 cents per word. Carl wants to spend only $12.00 on the ad.
statuscvo [17]

Answer:

42 words

Step-by-step explanation:

To solve just solve 0.25x +1.50 = 12.00 for x

7 0
3 years ago
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The Prize Place has 252 toys to be divided equally among 6 piñatas.How many toys will go into each piñata?
Mumz [18]
This is an example of division. 252/6=42. So 42 toys will go into each pinata.
8 0
3 years ago
What is the slope for y=200-5x
Jet001 [13]

Answer:

5

Step-by-step explanation:

The slope is 5 because the equation is y = 200-5x where 5 is the slope because it is the rate of change.

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Circle the largest decimal in each of the following groups.
ExtremeBDS [4]

A. 0.370

B. 0.44

C. 0.1

D. 2.75

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3 years ago
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