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Helga [31]
2 years ago
5

Write an equation of the line that passes through (4,-1) and is parallel to the line -3x +y= 7

Mathematics
1 answer:
Gala2k [10]2 years ago
4 0

Answer:

y = 3x -13

Step-by-step explanation:

y = 3x + 7

-1 = 3(4) + b

-1 = 12 + b

-13 = b

y = 3x -13

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For what value of (a) does the equation 3x+5=ax+5 have infinitely many solutions? Explain.
Ilia_Sergeevich [38]
0 because anything times 0 equals 0 so it would not be important what you multiply 0 by
8 0
3 years ago
Which best describes word choice in an academic paper? it’s the internal structure, sequence of ideas, and unity of paragraphs.
Stella [2.4K]

The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.

<h3>What is an academic paper?</h3>

An academic paper is a research work that aims at conveying ideas to a limited group of experts in a given field. As a result of that, the structure of the paper must be such that it could be recieved by a professional auidience.

The term word choice in an academic paper refers to the use of precise, rich, and colorful language to convey ideas.

Learn more about academic paper: brainly.com/question/2710857

4 0
2 years ago
How to solve 1/4-x=x/8
Contact [7]

Answer:

x=\frac{2}{9}

Step-by-step explanation:

\frac{1}{4}-x=\frac{x}{8}

  • With the equation's current format, we will have trouble solving with all these fractions. Especially the fraction \frac{x}{8} is very difficult to deal with, so my first step would be:

(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})

  • If we multiply both sides by this number, we will be able to get rid of the messy fraction on the right side as well as remove the fraction on the left side. Like so:
  • <em>I put the 8 I multiplied onto each side in fraction form simply for clarity. You do not need to do this.</em>

(\frac{8}{1})(\frac{1}{4}-x)=\frac{x}{8}(\frac{8}{1})\\\frac{8}{4}-8x=\frac{8x}{8}\\2-8x=x

  • After this point, let's put our variable, x, onto one side of this equation and any other integers on the other by adding and subtracting them from both sides.

2-8x=x\\-9x=-2

  • Now we divide so that x is isolated, and we are done.

x=\frac{-2}{-9}=\frac{2}{9}

 

6 0
3 years ago
B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?
Mariulka [41]
Given:  "<span>B(t)=4*e^0.8t, How many hours will it take for the population to grow to 400?"   Set B(t) = 400.  Then:

400=4*e^(0.8t), or

100 = e^(0.8t)

Take the natural log of both sides, obtaining
                                       ln 100
ln 100 = 0.8t.  Then t = ----------- = 5.76 hours.
                                        0.8</span>
7 0
3 years ago
What is the rate of change in the following linear equation:<br><br> -8x + 4y = 10 - 2x
sweet-ann [11.9K]

Answer:

Rate of change = 3/2

Step-by-step explanation:

Use a function with an interval:

f(x) = x^2, [2,3]

6 0
3 years ago
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