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LekaFEV [45]
2 years ago
6

2(x + 2) + 1= 5(-x + 8)

Mathematics
1 answer:
Sati [7]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

2(x + 2) + 1= 5(-x + 8)

2x + 4 + 1 = -5x + 40

2x + 5x = 40 - 4 - 1

7x = 35

x = 35/7

x = 5

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A company can make 12 printing presses for $78,600. It can make 19 printing presses for $82,380. Find the linear equation that m
8_murik_8 [283]

Answer:

C(x) = 540x + 72120

Step-by-step explanation:

Given

Cost = $78,600 when Printing Press = 12

Cost = $82,380 when Printing Press = 19

Required

Determine the linear equation

From the given parameters; Cost is a function of Printing Press

<em>Represent Cost by C and Printing press by x;</em>

<em>This implies that C = f(x)</em>

The given parameters can then be modeled as; (x, C)

(x_1, C_1) = (12,78600)

(x_2, C_2) = (19,82380)

The first step is to calculate the slope, m;

m = \frac{C_1 - C_2}{x_1 - x_2}

m = \frac{78600 - 82380}{12 - 19}

m = \frac{-3780}{-7}

m = 540

The linear equation can then be calculated using slope formula

m = \frac{C- C_2}{x - x_2}

Substitute 540 for m and (x_2, C_2) = (19,82380)

540 = \frac{C- 82380}{x - 19}

Multiply both sides by x - 19

540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)

540 * (x-19)= C- 82380

Open bracket

540x - 10260 = C - 82380

Add 82380 to both sides

540x - 10260 + 82380= C - 82380 + 82380

540x - 10260 + 82380= C

540x + 72120= C

C = 540x + 72120

Hence;

C(x) = 540x + 72120

4 0
2 years ago
The radius of a semicircle is 4 millimeters. What is the semicircle's diameter?
elena55 [62]

Answer:

8 millimeters

Step-by-step explanation:

2 x radius = Diameter

2 x 4 = Diameter

8 = Diameter

6 0
3 years ago
Read 2 more answers
Can someone please help mee.
Ahat [919]

Answer:

\displaystyle y

Step-by-step explanation:

<u>Graph of an inequality</u>

The graph represented in the image is a line and we have two clear points through which the line passes.

Those points are (0,1) and (5,0).

The equation of a line can have the slope-intercept form:

y=mx+b

Substituting the point (0,1):

1=0+b

b=1

Substituting the point (5,0):

0=m(5)+1

Solving for m:

\displaystyle m=-\frac{1}{5}

The equation of the line is:

\displaystyle y=-\frac{1}{5}x+1

The origin belongs to the solution if we substitute (0,0) the inequality should stand:

0<1

Or:

0≤1

Since the line is dashed, the boundary line is not part of the solution

Thus the inequality is:

\boxed{\displaystyle y

Option D.

4 0
3 years ago
(02.02 MC)
cricket20 [7]

Answer:

2/5 or two over five

Step-by-step explanation:

2:5

Divide each by 5

2/5 : 1

2/5 * 1

2/5

6 0
2 years ago
Read 2 more answers
Which point is located in Quadrant ll
katrin [286]

Answer:

(4,5)

Step-by-step explanation:

If you count the quadrants 1 and 2

                                            3 and 4

3 0
2 years ago
Read 2 more answers
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