All categories

3 years ago

What is the equation of the line that passes through the points (-2, 3) and (2, 7)?

1 answer:

5 0

X -y = -5

To see that substitute the points.

First, point (-2,3)

-2 - 3 = -5

Now second point (2,7)

2 - 7 = -5

As you have seen, both points belong to the equation x - y = -5

You might be interested in

Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each t

Talja [164]

Answer: 30

Step-by-step explanation:

Yvette- 100-7

Isandro- 0+3

1.) I'm going to speed up the process and multiply by 5.

Yvette: 100-7

7 × 5 = 35

100-35= 65

65-35= 30

Isandro: 0+3

3 × 5 = 15

0+15= 15

15+15= 30

2.) If they keep going on this pattern they will have the same number on the 10 round.

7 0

2 years ago

WHAT IS 4 TIMES TWO THIRDS IN A MIXED FRACTION

Alex73 [517]

$\frac{4}{1}$ × $\frac{2}{3}$ = $\frac{8}{3}$
You then divide the numerator(top) by the denominator(bottom)
$\frac{8}{3}$ = $2 \frac{2}{3}$
Your answer is $2 \frac{2}{3}$

3 0

3 years ago

Read 2 more answers

Solve the following inequality.

Luden [163]

First simplify.
$-\frac{2}{3}x \ \textgreater \ \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ -\frac{2x}{3}$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \ \frac{2x}{3}\ \textless \ -8$

$\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \ Simplify \ \textgreater \ 2x\ \textless \ -24$

$\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \ \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \ Simplify \ \textgreater \ x\ \textless \ -12$

$Therefore\; x\ \textless \ -12 \;is\;our\;answer!$

Hope this helps!

7 0

3 years ago

3 different numbers which are all equivalent to 10

Zolol [24]

Answer:

2 4 6

Step-by-step explanation:

3 0

3 years ago

Membership to a music club costs $165. Members

dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

$165+25m$

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

$40m$

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

$165+25m=40m$

And solve for m. Let's subtract 25m from both sides:

$165=15m$

Now, divide both sides by 15:

$m=11$

So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.

And we're done!

5 0

3 years ago