Answer:
(x, y) = (-3 5/8, 1 5/16)
Step-by-step explanation:
Add y+14 to the second equation to get ...
3.5x +14 = y
Substitute this for y in the first equation:
2.5x -3(3.5x +14) = -13
2.5x -10.5x -42 = -13
-8x = 29
x = -29/8 = -3 5/8
Using this in the formula for y, we get ...
3.5(-29/8) +14 = y
-203/16 +14 = y = 21/16 = 1 5/16
11. Multiply 6 by 2. Answer is 6. Because when you multiply 8 by 2 you get 16.
12. Divide 24 by 4. You get 6. Now divide 42 by 6. The answer is 7.
P.S sorry if I'm wrong but I think I'm correct.
Original price=A
A x 25/100=$31.14
simplify 25/100 = 1/4
A x 1/4=$31.14
A/4=$31.14
multiply both sides by 4
A=$124.56
Answer:
1.88 inches
Step-by-step explanation:
The volume is the product of length, width, and height. If w represents the width of the box, then its length is 4w and its height is w+7. The volume is then ...
V = (4w)(w)(w+7)
We want to find the value of w that makes V=126. It is convenient to use the graphing calculator to look for zeros of a function, so we can write the equation as ...
V - 126 = 0
4w·w·(w+7) -126 = 0
The only positive solution to this equation is near w ≈ 1.883.
The width of the box is about 1.88 inches.
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Attached is output from the DESMOS free graphing calculator. The ALEKS calculator requires a subscription. The method of solution is substantially the same, but requires a little more work on the ALEKS calculator to find the zero-crossing.
Answer: J and L are parallel
Step-by-step explanation:
They are parallel because they have the same slope as each other