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suter [353]
3 years ago
9

1. What is the solution to the compound inequality: 2x-2<-12 or 2x+3>7 *

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

x<-5 or x>2

Step-by-step explanation:

2x-2<-12

2x<-12+2=>

2x<-10=>

x<-10÷2=>

x<-5.

2x+3>7

2x>7-3=>

2x>4=>

x>4÷2=>

x>2.

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julsineya [31]

The equation of the newsletter function is C(x) = 75 + 0.25x and the function values are C(0) = 75, C(100) = 100, C(200) = 125 and  C(300) = 150

<h3 /><h3>How to determine the newsletter function?</h3>

From the question, the given parameters are

Initial charge = $75.00

Rate per copy = $0.25 per copy

The equation of the newsletter function is then calculated as

Total = Initial charge + Rate per copy x Number of copies

Let x represents the number of copies

So, we have

Total = Initial charge + Rate per copy x x

This gives

C(x) = 75 + 0.25x

<h3>The function values for x = 0, 100, 200 and 300</h3>

When x = 0, we have

C(0) = 75 + 0.25 x 0 = 75

When x = 100, we have

C(100) = 75 + 0.25 x 100 = 100

When x = 200, we have

C(200) = 75 + 0.25 x 200 = 125

When x = 300, we have

C(300) = 75 + 0.25 x 300 = 150

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brainly.com/question/4074386

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1 year ago
A pound of guinea-pig pellets is about 3 cups of food. Each guinea pig eats 1/4 cup of pellets a day. How many days will pellets
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Could you please help me with questions 36 &amp; 37?
Andrej [43]

We have to determine if the functions are linear or not.

We can do this by rearranging the equations in this form:

y=mx+b

where m and b are constants.

<em>NOTE: There are many ways to prove that a function is linear, but this is the easiest for this question. </em>

36.

\begin{gathered} x+\frac{1}{y}=7 \\ \frac{1}{y}=-x+7 \end{gathered}

As this function can not be written in the form y=mx+b, then it is not linear.

37.

\begin{gathered} \frac{x}{2}=10+\frac{2y}{3} \\ \frac{x}{2}-10=\frac{2y}{3} \\ \frac{2y}{3}=\frac{1}{2}x-10 \\ y=\frac{3}{2}(\frac{1}{2}x-10) \\ y=\frac{3}{4}x-15 \end{gathered}

This function is now in the form y=mx+b, where m=3/4 and b=-15. Then, this function is a linear function.

Answer:

36. Non-linear.

37. Linear.

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