Answer:
Step-by-step explanation:
- the given expression is : −4≤11−3x
- we use following operations to solve the inequality:
- by adding 4 on both sides, the inequality will become :
-4+4 ≤ 11-3x +4
0 ≤ 15 -3x
- adding 3x on both sides, the inequality will become:
3x ≤ 15
- dividing both the sides of the inequality by 3, the inequality will become:
3x/3 ≤ 15/3
x ≤ 5 ( since, 15/3 = 5)
- therefore the solution for x as an inequality will be x ≤ 5
Answer:
5
Step-by-step explanation:
The complex number 4 + 2i on the complex plane has coordinates (4,2) and the complex number 7 - 2i has coordinates (7,-2). Thus, the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i is
Answer:
x = -5, x = -6
Step-by-step explanation:
After canceling common terms from numerator and denominator, there are two factors remaining in the denominator that can become zero. The vertical asymptotes are at those values of x.
The denominator will be zero when ...
x + 5 = 0 . . . . at x = -5
x + 6 = 0 . . . . at x = -6
Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change to an improper fraction
(2*1+2)/2 ÷ 1/3
5/2 ÷1/3
Copy dot flip
5/2 * 3/1
15/2
Change to a mixed number
7 1/2
Answer:
The answer is the first choice.
Step-by-step explanation:
We can eliminate choices 2 and 4 because the y-intercept is wrong. The line passes through the y-axis at 3, so you would add 3 after the slope. Now we have choices 1 and 3. Choice 1 is y=-4/5x+3 and choice 3 is y=4/5x+3. When we do rise over run, we can use the points (0,3) and (5,-1). We get -4/5. Therefore, the answer is choice 1.
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