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tresset_1 [31]
3 years ago
5

Can u please answer this question ASAP

Mathematics
1 answer:
REY [17]3 years ago
4 0
Set both y’s equal to each other.

2x-1 = 3x+4
2x-3x = 4-(-1)
-x = 5
x = -5

Plug x = -5 into any of the given equation. I will use the first one as an example.

y = 2x-1
y = 2(-5)-1
y = -11

Answer: (-5, -11)
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2. 19-12=7

3. 17.50 divided by 7=2.5

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When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.
Elis [28]

Answer:

k = 6

Step-by-step explanation:

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What is the nearest integer to90
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HELP PLEASE ANSWER!! Tomika plans to run 84 miles in 4 weeks . If she continues the pattern,how many miles miles will she run in
Maurinko [17]

Answer:

She will run a distance of 1095.78 miles per year.

Number of days in a year = 365.25

Number of days in a week = 7

Number of weeks in a year = 365.25/7 = 52.18 weeks.

Tomika plans to run 84 miles in 4 weeks.

Distance run by Tomika in 1 week = 84/4 = 21 miles.

Distance run by Tomika in 1 year = 21*52.18 = 1095.78 miles

So she will run a distance of 1095.78 miles per year.

Step-by-step explanation:

4 0
3 years ago
A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo
Arada [10]

Answer:

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

y - k = C \cdot (x-h)^{2}

Where:

h - Horizontal component of the vertix, measured in inches.

k - Vertical component of the vertix, measured in inches.

C - Parabola constant, dimensionless. (Where vertix is an absolute maximum when C < 0 or an absolute minimum when C > 0)

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

B (x,y) = (28. 0) (x-Intercept)

The following equation are constructed from the definition of a parabola:

0-32 = C \cdot (28 - 0)^{2}

-32 = 784\cdot C

C = -\frac{2}{49}

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
3 years ago
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