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KonstantinChe [14]
2 years ago
7

What are the solutions of the compound inequality?

Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

Answer:

x < -5 or x > 2 , and because or can be in either, doesn't and literally can't be in both

Step-by-step explanation:

When you simplify 2x-2>12, it's like an algebra problem where you just add 2 to both sides and then divide by 2. Same for 2x+3>7, except you subtract 3 and then divide by 2

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What are the intercepts of 2x+3y-6=30
Zolol [24]
X-Intercept is found by setting y to = 0. 
<span>Y-intercept is found by setting y to =0.</span>
7 0
2 years ago
What is the probability of pulling out a red marble then a blue marble?
statuscvo [17]

Answer:

Step-by-step explanation:

Total marble = 8+5+4 = 19

n(Y) = 8, n(B) = 4 and n(R) = 5

Prob(R) = 5/17

Prob(B) = 4/16 {one marble is pulled out already}

Prob(R and B) = 5/17 × 4/16

= 5/17 × 1/4

= 5/68

5 0
2 years ago
Find the value of X, rounded to the nearest tenth. <br> A. 31.8<br> B. 31.4<br> C. 10.3<br> D. 10.7
Alenkinab [10]

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

7 0
2 years ago
Read 2 more answers
Which ordered pairs are solutions to the inequality 2x+y&gt;−4?
hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

-12>-2*5-4

-12>-14 ------> is True

therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

1>-2*0-4

1>-4 ------> is True

therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


7 0
3 years ago
Read 2 more answers
What is 22.2% written as a fraction in simplest form
Mnenie [13.5K]
Proper fraction:
22 1⁄5

Improper fraction:
111⁄5
8 0
3 years ago
Read 2 more answers
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