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sergij07 [2.7K]
2 years ago
6

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Mathematics
1 answer:
Maurinko [17]2 years ago
7 0
Answer
82°
Explanation
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The value of y varies directly as x, with a constant of variation of -8. What is the value of y when x is 7?
slega [8]

Answer:

y = -56

Step-by-step explanation:

The equation for direct variation is

y = kx  where k is the constant of variation

y = -8 x

We know x =7

y = -8*7

y = -56

6 0
3 years ago
Read 2 more answers
**How do you factor -4x²+14x-6?
MAXImum [283]


2 goes into all the terms so;

2(-2x² + 7x - 3) now you could factor it:

2(-2x - 1)(x + 3)

5 0
2 years ago
Rafael want to buy the same number of gifts bags and bows gifts bags are sold in packs of 6. Bows are sold in packs of 9. What i
GenaCL600 [577]

Answer:

Rafael should buy 9 gift bags and 6 bows packet so, that she can have SAME NUMBER OF ITEMS, i.e 54.

Step-by-step explanation:

The gift bags are sold in the packs of 6.

So, the number of gift bags in 1 packet  = 6 gift bags

The number of gift bags in 2  packet  = 6 x 2 gift bags  = 12  gift bags

The number of gift bags in 3  packet  = 6 x 3 gift bags  = 18  gift bags

And continuing similarly, we get

The number of gift bags in 9  packet  = 6 x 9 gift bags  = 54 gift bags.. (1)

The bows are sold in the pack of 9.

So, the number of bows in 1 packet  = 9 bows

The number of bows in 2 packet   = 9 x 2 bows  = 18 bows

The number of bows in 3 packet   = 9 x 3 bows  = 27 bows

And continuing similarly, we get

The number of bows in 6  packet  = 9 x 6 bows  = 54 bows... (2)

Here, comparing both equations (1) and (2) , we get

The number of gift bags = 54  = The number of bows.

Hence, Rafael should buy 9 gift bags and 6 packet of bows so, that she can have SAME NUMBER OF ITEMS, i.e 54.

8 0
3 years ago
An open rectangular box is 4 feet long and has a surface area of 20 square feet. Find the dimensions of the box for which the vo
sweet-ann [11.9K]
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1

so at H=1
find W

W=(10-4H)/(H+2)
W=2

the dimeionts are

length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
3 0
3 years ago
What are the properties of rotations?
11Alexandr11 [23.1K]
Rotations move lines to lines, rays to rays, segments<span> to</span>segments<span>, </span>angles<span> to </span>angles, and parallel lines to parallel lines, similar to translations and reflections. Rotations preservelengths<span> of </span>segments<span> and degrees of measures of </span>angles<span>similar to translations and reflections.</span>
6 0
3 years ago
Read 2 more answers
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