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Anastasy [175]
3 years ago
11

What is the solution of the given inequality? -4(2x+1)<_3(x-5)

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

x ≥ 1

Step-by-step explanation:

Solve the inequality by solving for x.

Solve:

-4(2x + 1) ≤ 3(x - 5)

Use the distributive property.

-8x - 4 ≤ 3(x - 5)

-8x - 4 ≤ 3x - 15

Subtract 3x from both sides.

-11x - 4 ≤ -15

Add 4 to both sides.

-11x ≤ -11

Divide both sides by -11, also flip the inequality since you're dividing by a negative number.

x ≥ 1

Your final answer would be x ≥ 1

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andrew11 [14]

Answer: =12x+1

Step-by-step explanation: Hope this help :D

Let's simplify step-by-step.

25/5+6x(2)−4

=5+12x+−4

Combine Like Terms:

=5+12x+−4

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3 years ago
Preston and Horatio have 49 games in total. Horatio has 11 more games than Preston. How many games does Preston have?
xxMikexx [17]
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7 0
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Can someone smart help me with this plz:)
insens350 [35]

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180°

6p + 6p + 3 p = 180

15p = 180

p = 180/15

p = 12

Angles are:

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6 0
3 years ago
Given (21,7) and (x,<br> 1), find all x such that the distance between these two points is 17.
Dmitriy789 [7]

Answer:

21+/-sqrt(253)=x

So one value for x is 21+sqrt(253)

and another is 21-sqrt(253)

Problem:

Given (21,7) and (x,1), find all x such that the distance between these two points is 17.

Step-by-step explanation:

Change in x is x-21

Change in y is 7-1=6

distance^2=(change in x)^2+(change in y)^2

17^2=(x-21)^2+(6)^2

289=(x-21)^2+36

Subtract 36 on both sides:

289-36=(x-21)^2

253=(x-21)^2

Take square root of both sides:

+/-sqrt(253)=x-21

Add 21 on both sides:

21+/-sqrt(253)=x

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