How do you write an equation in standard form given point (-1,6) and (3,-2)?

Solve the following equation: 3x - 5 = 10 + 7x.

umka21 [38]

When solving equations like these, our number one goal is to get x to be alone.

So given the equation lets go through it step by step.

3x - 5 = 10 + 7x (first step is to add 5 to both sides)

+ 5 = + 5 ( Now lets see what we have now)

3x = 15 + 7x ( We need the x to be alone! So lets subtract -7x from both sides.)

-7x = -7x ( now what do we have?)

-4x = 15 (okay divide both sides by 4 to isolate the x)

÷4 = ÷4 (now the 4's on the left side cancel out, and we solve on the right side)

x = 3.75

That's your answer :) Good Luck!

6 0

3 years ago

Solve for x: 5<-4x-11<13

kap26 [50]

Answer:

$- {4} < x < - 6 \\$

Step-by-step explanation:

$5 < - 4x - 11 < 13$

Add 11 to both sides of the inequality to make - 4x stand alone

$5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24$

Divide both sides by - 4

$- \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6$

Reverse the signs

We have the final answer as

$- 4 > x > - 6 \\$

Hope this helps you

5 0

3 years ago

Read 2 more answers

3. JK Rowling and R.L. Stine are both reading the Hunger Games. J.K. reads 35

Crank

Answer:

Part A:

For J.K. Rowling: 17.5pages/hour

For R.L. Stine: 15pages/hour

Part B:

J.K. Rowling will finish the book first.

Step-by-step explanation:

Part A:

The rate of change in this case represents how much changes a variable in a specific period of time. The variable is the amount of pages.

You have to calculate the amount of pages that J.K. Rowling and R.L. Stine read in one hour.

For J.K. Rowling, 35 pages every 2 hours can be written as:

If you divide 35/2 you can obtain the amount of pages in one hour:

17.5pages/hour (17.5 pages per hour)

For R.L. Stine, 45 pages every 3 hours can be written as:

If you divide 45/3 you can obtain the amount of pages in one hour:

15pages/hour (15 pages per hour)

Part B:

In order to calculate who will finish the hunger games first, you have to calculate the amount of time needed to finish the book.

For J.K. Rowling:

You have to multiply 355 pages by (because in one hour she reads 17.5 pages) to obtain the amount of hours

For R.L. Stine:

You have to multiply 355 pages by (because in one hour he reads 15 pages) to obtain the amount of hours

So, J.K. Rowling will finish the book first because she needs less time than R.L. Stine.

5 0

3 years ago

What is the value of y in the parallelogram below?

tamaranim1 [39]

The sum of the adjacent angles of a parallelogram is always equal to 180°.

So we know that $3y + 108 = 180$ .

When we simplify that expression: $3y = 72$
Isolate the y by divide both sides by 3: $y = 24$

6 0

3 years ago

Read 2 more answers

Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length

hichkok12 [17]

Answer:

51

Step-by-step explanation:

51 is elaginlent to 44 and 33 12 garde things

3 0

3 years ago