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Sedaia [141]
3 years ago
12

Please, can someone help me with this problem? I would really appreciate it if you could explain the process too.

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
Your new line has to have the same slope as the green line for them to be parallel, so start off with y=-3/4x+b.

Plug in (2,4) into the new line so 2 for x and 4 for y

It should look like 4=-3/4(2)+b

-3/4x2 is -1.5

Then add 1.5 to both sides and you should get 5.5=b

Your new line is y=-3/4x+5.5 and (0,5.5) is a point on the line

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Write a quadratic expression with roots 1 and -4 and leading coefficient of 5
zloy xaker [14]

Answer:

5x^2-19x-4

Step-by-step explanation:

(5×-1)(x+4)

5x^2+20x-1x-4

6 0
4 years ago
The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your
seropon [69]

Answer:

Percent increase is 17.6%

We still have to pay 7.50 with the coupon

Step-by-step explanation:

Percent increase = (new- original)/original *100%

                             = (10-8.5)/8.5 * 100%

                             = 1.5/8.5 * 100%

                             = 17.6470588%

Round to the nearest tenth

                                 17.6%

This is an increase since the cost went up.

If we have 25% off, we still have to pay (100%-25%) = 75%

10 *.75 = 7.50

We still have to pay 7.50 with the coupon

6 0
4 years ago
A student conducted an experiment to determine if listening to different types of music would affect pulse rate. She thought tha
Novay_Z [31]

Answer:D

Step-by-step explanation:

6 0
3 years ago
If the perimeter of this triangle is to be no more than 77 feet, write an inequality and
Sergio039 [100]

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

Perimeter of this triangle is to be no more than 77 feet.

To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle =(4x+10)+(2x-5)+18

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

(4x+10)+(2x-5)+18\leq 77

(4x+2x)+(10-5+18)\leq 77

6x+23\leq 77

6x\leq 77-23

6x\leq 54

Divide both sides by 6.

x\leq \dfrac{54}{6}

x\leq 9

Therefore, the required inequality is (4x+10)+(2x-5)+18\leq 77 and the solution is x\leq 9.

8 0
4 years ago
Here is the histogram of a data distribution. All class widths are 1.
Lera25 [3.4K]
It’s C. Since that’s the middle based on the diagram
6 0
3 years ago
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