1/f - 1/u = 1/v then f

Which of the following is the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48?

monitta

Answer:

Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Step-by-step explanation:

we have

$-18 > -5x+2 \geq -48$

Divide the compound inequality into two inequalities

$-5x+2 \geq -48$ -----> inequality A

$-5x \geq -48-2$

$-5x \geq -50$

Multiply by -1 both sides

$5x \leq 50$

Divide by 5 both sides

$x \leq 10$

The solution of inequality A is the interval ----> (-∞,10]

All real numbers less than or equal to 10

$-18 > -5x+2$ -----> inequality B

$-18-2 > -5x$

$-20 > -5x$

Multiply by -1 both sides

$20 < 5x$

Divide by 5 both sides

$4 < x$

Rewrite

$x > 4$

The solution of the inequality B is the interval ----> (4,∞)

All real numbers greater than 4

The solution of the compound inequality is

(-∞,10] ∩ (4,∞)= (4,10]

All real numbers greater than 4 and less than or equal to 10

A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

8 0

2 years ago

Read 2 more answers

Richard and Linda enjoy visiting Hilton Head Island, South Carolina. The distance from their home to Hilton Head is 870 mi, so t

lidiya [134]

Answer:

696 miles at the first day, and 174 miles at the second day.

Step-by-step explanation:

Given:

Richard and Linda enjoy visiting Hilton Head Island, South Carolina.

The distance from their home to Hilton Head is 870 miles.

So, the drive takes them 2 days.

<u>Richard and Linda travel four times as far the first day as they do the second day.</u>

Question asked:

How many miles do they travel each day?

Solution:

Let Richard and Linda traveled at the first day = $x\ miles$

Then Richard and Linda traveled at the second day will be = $4x\ miles$

Total distance from their home to Hilton Head = 870 miles

Traveled at the first day in miles + Traveled at the second day = 870

$4x+x=870\\ \\ 5x=870\\ \\ Dividing\ both\ sides\ by\ 5\\ \\ x=174\ miles$

By substituting the value:

Richard and Linda traveled at the first day = $x\ miles$ = 174 miles

Richard and Linda traveled at the second day will be = $4x\ miles$

$=4\times174=696\ miles$

Therefore, they traveled 696 miles at the first day and 174 miles at the second day.

7 0

2 years ago

Read 2 more answers

To convert dog years to human year, count 21 human years for the first two dog years and then 4 human years per dog year for eac

Butoxors [25]

(y-2)4 + 21
You subtract two because the 21 accounts for it and then whatever you have left multiplied by 4 and added to 21 is the amount of years after conversion.

*************************************************

4 0

2 years ago

Read 2 more answers

Evaluate-4/1/3-2+7/5/6

kirza4 [7]

Compute the division left to right first, and then the addition/subtraction left to right!

8 0

2 years ago

What is the slope and the y-intercept of the equation y = -x + 8?

AnnyKZ [126]

Slope: -1 y- intercept: (0,8)

4 0

2 years ago