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Debora [2.8K]
3 years ago
11

Solve the compound inequality n-4 > 5 AND 2 > n + 3

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Get n by itself in both inequalities

(This program doesn't allow for regular less than or greater than signs, so for the purposes of this problem I will be using less than or equal to (≤) and greater than or equal to (≥) signs)

Inequality 1:
n-4   \geq 5 \\ n \geq 9

Inequality 2:
2 \geq n+3 \\ -1 \geq n

Now that you have both of the n's by themselves, you can put the two inequalities together, like this
-1 \geq n \geq 9

Just keep in mind that these are supposed to be regular less than signs
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The probability is 56/100 or 56%. Because they only got 44% of their previous throws, the probability that they'll miss the next one is 56%.
3 0
3 years ago
Draw a pair of supplementary adjacent angles. One of the angles should have a measure of 85 degrees. How should the supplementar
Orlov [11]

Supplementary adjacent angles form a "linear pair." Together, they make a line. The angle supplementary to 85° will be slightly obtuse, just as 85° is slightly acute.

4 0
3 years ago
Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
what is the value of x? SHOW ALL YOUR WORK. ONLY ANSWER IF YOU KNOW. PLEASE DONT REWRITE SOMEONE ELSE'S ANSWER DOWN. WILL MARK B
ioda

Answer:

I'm pretty sure he or she are right^^

Step-by-step explanation:

I Know

7 0
3 years ago
A book contains pages from 1-48. A student picks a page at random. What is the probability that the page contains a 3​
Nutka1998 [239]
1/48

Since there is only 1 page labeled “3,” the probability of picking page 3 is 1/48.
6 0
2 years ago
Read 2 more answers
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