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Solve this Linear / Rational / Variable Equations
8x−5−4x=−x+10
Solve this Linear / Rational / Variable Equations
8x−5−4x=−x+10
Correct answer:
3

Explanation:
8x−5−4x=−x+10 can be simplified to become

4x−5=−x+10

Then, you can further simplify by adding 5 and x to both sides to get 5x=15.

Then, you can divide both sides by 5 to get x=3.
Subtract (−3x3+2x2−xy−13) from (x5−4x4−2x3−9xy).
Subtract (−3x3+2x2−xy−13) from (x5−4x4−2x3−9xy).
Correct answer:
x5−4x4+x3−2x2−8xy+13

Explanation:
Subtract the first expression from the second to get the following:

x5−4x4−2x3−9xy−(−3x3+2x2−xy−13)

This is equal to:

x5−4x4−2x3−9xy+3x3−2x2+xy+13

Combine like terrms:

x5−4x4+x3−2x2−8xy+13
Multiply the following monomial quotients:

6x⋅7x2
Multiply the following monomial quotients:

6x⋅7x2
Correct answer:
42x3

Explanation:
To solve this problem, split it into two steps:

1. Multiply the coefficients

6⋅7=42

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

x⋅x2=x1+2=x3

Combine these to get the final answer:

42x3
Solve for x.

x+609=423
Solve for x.

x+609=423
Correct answer:
−186

Explanation:
x+609=423 Subtract 609 on both sides. Since 609 is greater than 423 and is negative, our answer is negative. We treat as a subtraction problem.

x=−186
Multiply (3x+4)(x−2)(3x+4)(x−2)
Multiply (3x+4)(x−2)(3x+4)(x−2)
Correct answer:
3x2−2x−83x2−2x−8

Explanation:
Use the FOIL method to multiply the polynomials:

(3x+4)(x-2)

 

 F - Multiply the first terms of each binomial

3x∗x=3x23x∗x=3x2

 

O- Multiply the outside terms of each binomial

3x∗−2=−6x3x∗−2=−6x

 

I- Multiply the inside terms of each binomial

 4∗x=4x4∗x=4x

 

L- Multiply the last terms of each binomial

4∗−2=−84∗−2=−8

 

Add all of the answers and combine like terms

3x2−6x+4x−83x2−6x+4x−8

3x2−2x−83x2−2x−8
Find the next term in the following arithmetic sequence: 

10,19,28...
Find the next term in the following arithmetic sequence: 

10,19,28...
Correct answer:
37

Explanation:
First, find the common difference for the sequence. Subtract the first term from the second term.

19−10=9

Subtract the second term from the third term.

28−19=9

To find the next value, add 9 to the last given number.

28+9=37
Solve for x.

x+17.1=2.3
Solve for x.

x+17.1=2.3
Correct answer:
−14.8

Explanation:
x+17.1=2.3 Subtract 17.1 on both sides . Remember since 17.1 is greater than 2.3 and is negative, our answer is negative. We treat as a normal subtraction.

x=−14.8
Find the slope of the equation:

2x+3y=102x+3y=10?
Find the slope of the equation:

2x+3y=102x+3y=10?
Correct answer:
−23−23

Explanation:
In order to determine the slope from the given equation we need to make sure that it is written in the following format:

y=mx+by=mx+b

If the equation of a line is written in the slope-intercept form, then mm is slope and bb is the y-intercept.

In this case we need to convert the equation into slope-intercept form.

2x+3y=102x+3y=10 

Subtract 2x2x from both sides.

3y=10−2x3y=10−2x 

Divide both sides by 33. 

y=10−2x3y=10−2x3 

Rewrite.

y=−23x+103y=−23x+103

Identify the slope.

 m=−23m=−23