Solve the inequality 4x-7<5

Answers

Answer 1
Answer: 4x - 7 < 5

Add 7 to the both sides,
4x - 7 + 7 < 5 + 7
4x < 12

Divide 4 from the both sides,
4x/4 < 12/4
x < 3

So, your final answer is x < 3

Hope this helps!

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If f(x)=x+3 g(x)=2x+6 find (f+g)(x)

Answers

Answer:

3x + 9

Step-by-step explanation:

For value of (f+g)(x) add two functions up

x + 3 + 2x + 6 = 3x + 9

What is the slope of the line through (-1, 4) and (1, -2)​

Answers

Answer:

Slope = -3

Step-by-step explanation:

The slope is the change in y over the change in x

The slope formula is m=y₂-y₁/x₂-x₁ (y over x)

So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)

So, you would get m=-2-4/1-(-1)

Simplify (first subtract the top, then subtract the bottom)

This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)

-6/2 would get you to -3

-3 is the answer

The correct answer is A

Find the quotient –88 ¸ 11.
a. –10
b. –7
c. –8
d. –3

Answers

-8 is the quotient of -88 and 11. 

A piece of wire 7/8 meter long broke into two pieces.one piece was 1/4 meter long. How is the other piece

Answers

Answer:

The second piece is 5/8 meters.

Step-by-step explanation:

To find the length of the second piece of wire, subtract the length of the first piece of wire from the total.

7/8 - 1/4

Get a common denominator:

7/8 - (1/4) *2/2

7/8 - 2/8

5/8

The second piece is 5/8 meters.

Which of the following is the radical expression of a to the four ninths power ?

Answers

first if a>0 sqrta=a^(1/2), and (a^p)^q=a^pxq

sqrt(a^4/9)= (a^4/9)^1/2=a^4/9x1/2=a^(2/9)
so the answer is 
a^(2/9)

Roger is having a picnic for 78 guest he plans to serve each guest at least one hotdog if each package P contains eight hotdogs which inequality could be used to determine how many packages of hot dogs Roger will need to buy

Answers

amount=number of hotdogs per package times number of packages
amount=8 times P
amount=8P

amount must be equal to or greater than 78 since each guest wants 1 at least
amount>78
8P>78
(if you wanted to solve, the answer is at least 10 packages)

Answer:

.

Step-by-step explanation: