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Yuliya22 [10]
2 years ago
12

If -3=4x+7 what is x?

Mathematics
2 answers:
lara [203]2 years ago
6 0

Answer: x is -2.5 or -2\frac{1}{2}

Step-by-step explanation:

We need to solve for x

-3=4x+7

Step 1) Subtract 7 from both sides

-3-7=4x+7-7

-10=4x

Step 2) Divide both sides by 4 to isolate x

-10=4x

\frac{-10}{4} =\frac{4x}{4} \\-2.5=x

velikii [3]2 years ago
4 0
4x+7=-3
4x=-3-7
4x=-10
X=-10/4
X=-2.5
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A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin
Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2}   or  \frac{30-21.21 }{2}\\ = \frac{51.21 }{2}   or  \frac{8.79}{2}\\ = 25.605 or 4.395

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
charle [14.2K]

Answer:

I think it is C.2920

3 0
2 years ago
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Toby is forming and solving equations.
iogann1982 [59]

Answer:

\frac{1}{2}y * (y + 3) = y^{2}

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3 years ago
A school bus during morning pickups to calculate its average speed between 2.8 km and 4.2 km.
kifflom [539]

<u>Answer: </u>

Option (c)

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<u>Explanation:</u>

Given, the distance between 2.8 km and 4.2 km is 4.2 - 2.8 = 1.4 km

Time (in hours) between 2.8 km and 4.2 km

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Speed = 42.4 km/hr = 42 km/h (rounded to nearest)

Therefore, the average speed between 2.8 km and 4.2 km is 42 km/hr

Hence, Option (C) is correct

4 0
3 years ago
The lines below are perpendicular. If the slope of the green lines in 3/2, what is the slope of the red line
MakcuM [25]

Answer:

-2/3

Step-by-step explanation:

Where 2 lines are perpendicular,  the slope of one = - 1 / slope of the other.

Thus the slope of the red line  is - 1 / 3/2

= -2/3

3 0
3 years ago
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