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maksim [4K]
3 years ago
8

-6x + 1 > -23 which value of x is in the solution set of the inequality

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0
-6x + 1 > -23 <=>

-6x > -24 <=>

x < 4
You might be interested in
What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0
2 years ago
Simplify this expression <br> 4X^2y^3 x 2x^3y^4
Lena [83]

Answer:

8^5^7

Step-by-step explanation:

Multiply the numbers:

<u>4</u>X^2 y^3 x <u>2</u>x^3 y^4

<u>8</u>^2 ^3 ^3 ^4

Combine Exponents:

8<u>^2</u> ^3 <u>^3</u> ^4

8<u>^5</u> ^3 ^4

8^5 <u>^3</u> <u>^4</u>

8^5 <u>^7</u>

7 0
2 years ago
A scientist has two solutions, which she has labeled Solutuion A and Solution B. Each contains salt. She knows that Solutuion A
ratelena [41]

a = amount (in oz) of solution A

b = amount of solution B

The scientist wants a mixture of 110 oz, so

a + b = 110

Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So

0.65 a + 0.9 b = 82.5

Solve for a and b:

b = 110 - a

0.65 a + 0.9 (110 - a) = 82.5

0.65 a + 99 - 0.9 a = 82.5

0.25 a = 16.5

a = 66  ==>  b = 44

5 0
2 years ago
Please Help!!!
IgorC [24]
A) 1 - 7p - 2p^2 + 5p^3
5 0
3 years ago
What is 1/5n equals 15
rosijanka [135]

Answer: n=75

Step-by-step explanation:

1/5 times 75 equals to 15

4 0
3 years ago
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