Solve the following inequality. IMAGE ATTACHED

Mathematics

1 answer:

kotykmax [81]3 years ago

6 0

The answer is D.

First, separate the compound equality into 2
1st -3 (x-4) greater than/ equal to 21
2nd -3( x-4) < 30

Second, solve the inequality for x
1st x less than/ equal to -3
2nd x > -6

Third, find the intersection
D. -6 < x (less than/equal) to -3

I hope this helped, and if you don’t mind, giving me brainiest!

You might be interested in

1 pt) find the average rate of change of the function over the given intervals. h(t)=\cot (t);

blondinia [14]

$\text{Consider the function}\\
\\
h(t)=\cot(t) \text{ on the interval }\left [ \frac{\pi}{4}, \ \frac{3\pi}{4} \right ]\\
\\
\text{we know that the average rate of change of a funtion f(x) over the }\\
\text{interval [a, b] is given by}\\
\\
f_{avg}=\frac{f(b)-f(a)}{b-a}\\
\\
\text{so using this, the average rate of change of the given function is}$

$h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\
\\
=\frac{\cot \left ( \frac{3\pi}{4} \right )-\cot \left ( \frac{\pi}{4} \right )}{\frac{3\pi-\pi}{4}}\\
\\
=\frac{(-1)-(1)}{\frac{2\pi}{4}}\\
\\
=\frac{-2}{\frac{\pi}{2}}\\
\\
\text{Average rate of change of function}=\frac{-4}{\pi}$

6 0

3 years ago

Can y’all help me on num 3

ololo11 [35]

Answer:

-8 degrees

Step-by-step explanation:

-4 minus 7 degrees add 3 degrees

4 0

3 years ago

Read 2 more answers

Simplify the expression.

aniked [119]

C should be the answer

3 0

3 years ago

If (2 − 3i) + (x + yi) = 6, what is x + yi? 4 + 3i 4 − 3i -4 − 3i -4 + 3i 4x + 3i

Jobisdone [24]

<span>If (2 − 3i) + (x + yi) = 6, to get x + yi we subtract (2-3i) from both sides of the equation.

</span>(2 − 3i) + (x + yi) - (2 − 3i) = 6 -(2 − 3i)
(x + yi) = 6 - (2 - 3i)
Open the parenthesis taking care of the signs
(x + yi) = 6 - (2 - 3i)
= 6 - 2 + 3i
= 4 + 3i

5 0

3 years ago

Please help I’ll mark you as brainliest if correct !

lutik1710 [3]

Answer:

69.08 m

Step-by-step explanation:

C = 2(pi) x r

Radius (r) = 11

Pi = 3.14

C = 2(3.14) x 11 = 69.08

6 0

3 years ago