$-10 < -2x+4\leq8\ \ \ \ |-4\\\\-14 < -2x\leq4\ \ \ \ |\text{change the signs}\\\\14 > 2x\geq-4\ \ \ \ |:2\\\\\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}$

6 0

3 years ago

Can someone please help me answer this question, and please help me how you arrived to your correct answer? thank you!

galben [10]

$\sqrt{ - 180 {x}^{16} } \\ = \sqrt{( - 1) \times \: 2 \times 2 \times 3 \times 3 \times 5 \times {x}^{8} \times {x}^{8} } \\ = (2 \times 3 \times {x}^{8} ) \sqrt{( - 1) \times 5 } \\ = 6 {x}^{8} \times \sqrt{ - 1} \times \sqrt{5} \\ = 6 {x}^{8} i \: \sqrt{5}$

so answer is option 4

3 0

3 years ago

Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy

loris [4]

a. Sean drank at a rate of 5 milliliters per second.

b. It took Sean 55 s to drink all the slushy.

<h3>a. How to find the rate at which Sean drank?</h3>

Since Sean darnak at a constant rate and originally there were 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained.

The rate at which Sean drank, r = Change in volume of slushy/time for change

= (275 mL - 210 mL)/13 s

= 65 mL/13 s

= 5 mL/s

So, Sean drank at a rate of 5 milliliters per second.

<h3>b. How long did it take Sean to drink all the slushy?</h3>

The time it takes Sean to drink all the slushy is given by

T = V/r where

V = total volume of slushy = 275 milliliters and
r = rate of drinking by Sean = 5 mL/s

So, T = V/r

= 275 mL/5 mL/s

= 55 s

So, it took Sean 55 s to drink all the slushy.

Learn more about rate here:

brainly.com/question/8728504

#SPJ1

7 0

2 years ago