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3 years ago

Solve the compound inequality.

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

Answer:

x < 0 or x > 3

Step-by-step explanation:

First, we'll solve 5x - 11 < -11.

5x < 0 so x < 0.

As for 4x + 2 > 14, 4x > 12 which means x > 3.

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Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

5 0

3 years ago

A brand new truck was purchased for $45.000. A year later the truck was worth $40,480, and the year after that $35.622. If the r

Marat540 [252]

Answer $32,045

Step-by-step explanation: Ok, to get the rate of depreciation all we we have to do is $45 divided by $40.480 you would get 1.1116.

The rate of depreciation: 1.1116

If you do $45,000 divided by 1.1116 you'll get 40,322.

It won't be the exact same answer because you would have to divide for an hour.

Now we can skip to the important part: $35,622 divided by 1.1116 = $32,045

Therefore the truck will be worth $32,045 in 10 years!

I hope this helped

6 0

3 years ago

Which of the following is the best approximation of the diameter of a circular box top whose circumference is 28.27 inches?

wlad13 [49]

C=πd ⇒ d = C/π = 28.27/3.14 ≈ 9 inches

5 0

3 years ago

Please answer the following, giving Brainliest! Provide me with answers, or answer sheet please :)

IRINA_888 [86]

Answer:

Step-by-step explanation:

you just multiply by 5 to get your answer

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Harrizon [31]

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3 years ago

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