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navik [9.2K]
3 years ago
6

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

y = 17x

Step-by-step explanation:

By looking at the y-values of the table, we can see that they increase by 17 for every increase of 1 in the x-values.

This means are slope is 17.

We can prove this by plugging two points into the slope equation: (y₂ - y₁) / (x₂ - x₁)

(1, 17) & (3, 51)

(51 - 17) / (3 - 1)

Simplify the parentheses.

(34)/(2)

Divide.

17

Your slope is 17.

Plug this into your standard slope-intercept equation.

y = 17x + b

To find b, plug in a point to x and y. (1, 17)

17 = 17(1) + b

Multiply.

17 = 17 + b

Subtract.

b = 0

Your equation is: y = 17x + 0 or just y= 17x.

You can also tell by looking at the table. b is the y-intercept, or the value when x = 0. The table shows that when x = 0, y = 0. Therefore, b = 0.

Check your equation by plugging in the other point.

34 = 17(2)

34 = 34

Your equation is correct.

Hope this helps!

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Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean wate
Sauron [17]

Charges for filing each tax return not through the easiest form = $35

Charges for the filing each tax return through the easiest form = $0

Donation made to clean water project for each tax return filed = $2

Let total tax returns filed be 'a' and total tax returns filed at $35 be 'b'

⇒ Tax returns filed at $0 = a-b

Total money charged by Sterre = $7, 245

Total donation made by Sterre = $1, 242

Now, first we will determine the total tax returns filed by Sterre

Total donation made by Sterre = Donation made per tax return × Total returns filed by Sterre

⇒ 1,242 = 2 × a

⇒ a = 621

Hence, Sterre filed total of 621 tax returns

Now total money charged by Sterre = Charges for filing each tax return not through the easiest form × Tax returns filed at $35

⇒ 7,245 = 35 * b

⇒ b = 207

Hence, Sterre filed 207 returns at $35.

⇒ Tax returns filed at $0 = 621 - 207

⇒ Tax returns filed at $0 = 414

Hence, at $35, Sterre filed 207 tax returns, and at $0 Sterre filed 414 tax returns.

6 0
4 years ago
If m∠ QOS=58, m∠ POR=61, and m∠ POQ=22 what is m∠ ROS
aleksandrvk [35]

19

Step-by-step explanation:

GIVEN P0R AND P0Q, YOU CAN FIND Q0R, WHICH IS 61-22=39. NOW YOU KNOW Q0S AND Q0R, YOU CAN FIND R0S, WHICH IS 58-39=19

4 0
3 years ago
Diego's mother is twice as old as he is she is also as old as the sum of the ages of diego and both of his younger twin brothers
OLEGan [10]
2d = d + 11 + 11 = d + 22
d = 22
Diego is 22 years old.
7 0
3 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)<br><br> Solve for x given that CE=36. Show your work.
grigory [225]
<h3>Answer: x = 7</h3>

Explanation:

Segment addition postulate

CD+DE = CE

this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.

CD = 9

DE = 3x+6

CE = 36

----

CD+DE = CE

9+3x+6 = 36

3x+15 = 36

3x = 36-15

3x = 21

x = 21/3

x = 7

-----

If x = 7, then

DE = 3x+6 = 3*7+6 = 21+6 = 27

and

CD+DE = 9+27 = 36 = CE

confirming our answer

6 0
3 years ago
What is the solution to the following system of equations?
artcher [175]
The correct answer is B
6 0
3 years ago
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