Please help me with this question

20 POINTS~ 2/5 |5x+10| -14 > -6 Please explain both answers

Pavlova-9 [17]

Answer:

$x2$

Step-by-step explanation:

We have the inequality:

$\frac{2}{5}|5x+10|-14>-6$

First, we can factor out a 5 from our absolute value. This yields:

$\frac{2}{5}(5|x+2|)-14>-6$

Simplify:

$2|x+2|-14>-6$

Add 14 to both sides:

$2|x+2|>8$

Divide both sides by 2:

$|x+2|>4$

Definition of Absolute Value:

$x+2>4\text{ or } -(x+2)>4$

Solve each case individually:

Case 1:

$x+2>4$

Subtract 2 from both sides:

$x>2$

Case 2:

$-(x+2)>4$

Divide both sides by -1. Flip the sign:

$x+2$

Subtract 2 from both sides:

$x$

So, our answers are:

$x2$

Since our inequality is a greater than, we will have an "or" inequality.

So, our answer is all values left to the first solution and all values to the right of the second solution:

$x2$

And we're done!

5 0

3 years ago

How to do this problem I have

Scrat [10]

I think pencil and paper would be the best method

7 0

3 years ago

craig likes to collect records. last year he had 10 records in his collection. now he has 15 records. what is the percent increa

schepotkina [342]

Answer:

His collection increased in a 20%.

Step-by-step explanation:

If 100% represents 10 records, what percentage would be for 12 records?

x = 12 100% / 10 = 120%

So, if we subtract 120% - 100%, it's gonna result in a difference of 20%, which means that 12 represents a 20% more, or his collection increased in a 20%.

7 0

3 years ago

The height in feet above the water of a diver can be modeled by ℎ() = −16*2 − 16 + 192, where t is the time in seconds after the

Maurinko [17]

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

$-16t^2 -16 t +192 =0$

divide whole equation by -16

$t^2 +t -12 =0$

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

3 0

3 years ago

Select the relations that are functions.

liraira [26]

Answer:

option A, C and D

Step-by-step explanation:

Each relation is a function if each input has only one output

{a, 1), (6, 1), (C, 1)

This relation is a function because each input has only one output

{a, a),(a, b),(a, c)}

This relation is not a function because input 'a' has only three output

{(1, a), (2, a),(3, a)}

This relation is a function because each input has only one output

{a, a), (b, b), (C, c)}

This relation is a function because each input has only one output

7 0

3 years ago