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Lady_Fox [76]
3 years ago
14

What is an equation of the line that passes through the points (-4,-1) and (2, 8)?

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

Answer: y=(3)/(2)x+5

Step-by-step explanation:

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Use the properties of operations to determine if each pair of expressions is equivalent
SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

<u>Solution:</u>

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

<em><u>And the two expressions are:</u></em>

\frac{1}{2}(4-2 x) \text { and } 2-2 x

Now, we know that, there are four (4) basic properties of operations:

<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0
2 years ago
Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest. a) How much will craig h
nignag [31]

Answer:

49950

Step-by-step explanation:

111% of 45000 is 49950

5 0
3 years ago
Read 2 more answers
Write a linear equation to represent the line shown on the graph
sveticcg [70]

Answer:

y=-3x+4

Step-by-step explanation:

it's negative bc the slope is going from left to right. you just have to do rise over run to find the slope.

7 0
3 years ago
Janelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 m
Papessa [141]
Let x represent the number of students in Janelle’s group.  If  Janelle brings 3 markers for each person in her group, then she brings 3x markers for x students. You also know that she brings <span>5 extra markers for everyone to share. Thus, the total amount of markers she brings is 3x+5.
</span>
If Janelle brings in 23 markers in all, then the equation <span><span>3x+5=23 </span> represaents the mathematical model. </span>

3x=23-5,3x=18,x=6

Answer: there are 6 students in Janelle's group.
8 0
3 years ago
Read 2 more answers
Does this equation y=87.2/x represent a direct or inverse variation?
Lorico [155]

Answer:

Inverse relationship

Step-by-step explanation:

The equation we are looking at is;

y = 87.2/x

which implies xy = 87.2

If it was a direct relationship

y = constant * x

if it was inverse, it would have been

y * x = constant

since 87.2 is a constant, the question looks exactly like the second scenario.

This means that what we have is an inverse relationship

8 0
3 years ago
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