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insens350 [35]
3 years ago
5

Two of the solutions for the equation 2x + 3y = 12 are

Mathematics
1 answer:
navik [9.2K]3 years ago
5 0
(0, 4) and (6,0) are two solutions that are found on the line when graphed
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kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee
lesya [120]

The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

<em><u>The volume of cuboid is given as:</u></em>

volume of cuboid = l \times w \times h

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5

Thus the height of aquarium is 1.5 feet

7 0
3 years ago
 (<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align="absmiddle" class="l
Alisiya [41]
(x^2-3x+2)-1(3x^2-5x-1)=
x^2-3x+2-3x^2+5x+1=
x^2-3x^2-3x+5x+2+1=
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4 0
4 years ago
Read 2 more answers
A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The tria
fredd [130]

Answer:

2(5) nd 28

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the selling price per widget as a function of the
zalisa [80]

Answer:

1240 widgets

Step-by-step explanation:

<em>The value of the function at 870, the local maximum, is </em>

<em>= -0.02(870)2 + 34.80(870) - 4700 </em>

<em>= -0.02(756900) + 30276 - 4700 </em>

<em>=  -15138 + 25576 </em>

<em>= 10438 </em>

<em>  </em>

<em>So the vertex is (870, 10438) </em>

<em>  </em>

<em>The cost t the company to produce 870 widgets is  </em>

<em>C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224 </em>

<em>  </em>

<em>So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price. </em>

<em>(10438 + 9224)/870 = 19662/870 = $22.60 </em>

<em>  </em>

<em>P(x) = 7700 </em>

<em>- 0.02x2 + 34.80x - 4700 = 7700 </em>

<em>-0.02x2 + 34.80x -12400 = 0 </em>

<em>  </em>

<em>x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02) </em>

<em>x = [-34.80 ± √(1211.04 - 992)]/(-0.04) </em>

<em>x = (-34.80 ± √219.04)/(-0.04) </em>

<em>x = (-34.80 ± 14.8)/(-0.04) </em>

<em>x = 870 ± 370 </em>

<em>so, $7700 in profits will be earned at either 500 widgets or </em><em>1240 widgets</em>

6 0
3 years ago
Help me please——————/
iragen [17]

Answer:

x/5 i thing i am not even sure good luck

Step-by-step explanation:

7 0
4 years ago
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