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Naya [18.7K]
3 years ago
15

Consider this equation:

Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

Answer:

  • Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
  • Steps: add 4 to both sides; collect terms; divide both sides by 3.

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

  • add 4 to both sides of the equation
  • collect terms
  • divide by the coefficient of the variable (3)

Executing that plan, the steps are ...

  -2x -4 +5x +4 = 8 +4 . . . . add 4

  3x = 12 . . . . . . . . . . . . . . . collect terms

  x = 4 . . . . . . . . . divide by 3

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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
Dovator [93]
Your answer would be a because of the state of the appropriate bill and alternate hypotheses makes the most sense out of B and C
5 0
2 years ago
Solve x/10 = -7 A. x = 3 B. x = -0.7 C. x = -17 D. x = -70
timofeeve [1]

Answer:

x = -70

Step-by-step explanation:

x/10 = -7

Multiply each side by 10

x/10*10 = -7*10

x = -70

7 0
3 years ago
C = 200 – 7x + 0.345x2
fenix001 [56]

The way to find the domain and the range is illustrated below.

<h3>How to illustrate the information?</h3>

From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.

The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.

You can substitute some values for x to help you, for example:

x      y

0    200

1    200 -7 +0.345 = 193.345

2    200 - 14 + .345 (4) = 187.38

3    200 - 21 + .345(9) = 182.105

4    200 - 28 + .345(16) = 177.52

5    200 - 35 + 0.345(25) = 173.625

6    200 - 42 + 0.345(36) = 170.42

10  200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.

Learn more about domain on:

brainly.com/question/2264373

#SPJ1

Complete question:

the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x² explains how to find the domain and range of c.

4 0
1 year ago
Factor the perfect square trinomials<br>a2+20a+100​
sukhopar [10]

Answer:

-10

Step-by-step explanation:

a^{2} +(10+10)a+100

a^{2} +10a+10a+100

a(a+10)+10(a+10)

(a+10)(a+10)

so,a=-10

6 0
3 years ago
which is the slope of a line that is perpendicular to the line that passes through the points (29, 24) and (3, 4)?
Nataliya [291]

Answer:

26/20

Step-by-step explanation:

y2-y1 divided by x2-x1

4-24= -20

3-29= -26

-20/-26= m

perpendicular means to switch the numbers and change the sign

a perpendicular slope to -20/-26 is 26/20.

3 0
3 years ago
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