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Mariulka [41]
3 years ago
9

This graph shows a proportional relationship.

Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Answer:

k=\frac{3}{2}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have the point (1/4,3/8)

The constant of proportionality k is equal to

k=\frac{y}{x}

substitute the value of y and the value of x of the given ordered pair

k=\frac{3}{8}:\frac{1}{4}

Multiply in cross

k=\frac{3*4}{8*1}=\frac{12}{8}

Simplify

k=\frac{3}{2}

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Which of the following is the correct graph of the compound inequality 4p + 1 < −11 or 6p + 3 > 39?
mrs_skeptik [129]

The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the graph for the given compound inequality

The given compound inequality is

4p + 1 < −11 or 6p + 3 > 39

Solve the inequalities separately

4p + 1 < −11

4p < -11 - 1

4p < -12

p < -12/4

p < -3

OR  

6p + 3 > 39

6p > 39 - 3

6p > 36

p > 36/6

p > 6

Thus,

p < -3 OR p > 6

Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Learn more on Linear Inequalities here: brainly.com/question/5994230

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4 0
1 year ago
I need help with? this question. what is 7(-7)+149-56/2=?
Vlad [161]

Answer:

the answer is 22 hope this helps

Step-by-step explanation:

7(-7)= -49

-49+149=100

100-56=44

44/2=22

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Write 337,060 in expanded form using exponents
Agata [3.3K]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0


Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

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then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0


Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10


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Hi,

The answer you are looking for is x= -3.

Have a great day!!

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