Himpunan penyelesaian dari pertidaksamaan | 2x + 1| ≤ 3 adalah.....a. { -1 ≤ x ≤3 }
b. { -2 ≤ x ≤ 2}
c. { -2 ≤ x ≤ 1 }
d. { -1 ≤ x ≤ 1 }
e. { 0 ≤ x ≤ 1 }
Tolong caranya...
Answers
Final answer:
The solution to the given inequality, |2x + 1| ≤ 3, is the set { -2 ≤ x ≤ 1 }, which corresponds to answer choice (c). This is achieved by solving two separate inequalities, 2x + 1 ≤ 3 and - (2x + 1) ≤ 3.
Explanation:
The subject of the question is Mathematics, specifically a High School algebra topic on solving absolute inequalities. The student's question is asking us to solve the inequality |2x + 1| ≤ 3. To do this, we need to create and solve two separate inequalities: 2x + 1 ≤ 3 and - (2x + 1) ≤ 3.
Solving 2x + 1 ≤ 3 gives us 2x ≤ 2 and x ≤ 1 . Solving - (2x + 1) ≤ 3 gives us -2x - 1 ≤ 3 , then -2x ≤ 4 , and finally x ≥ -2 . Combining these answers gives us the solution set { -2 ≤ x ≤ 1 }, which corresponds to answer choice (c).
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Identify the fallacies of weak induction committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy." There is substantial evidence that units of the Chinese military hack into the computers of American technology companies to steal intellectual property and trade secrets. But Chinese Premier Li Keqiang denies that this happens. Therefore, given Mr. Li's intimate knowledge of the Chinese military, we must conclude that the Chinese military does not engage in hacking.
Answers
Answer:
y = -x - 1
Step-by-step explanation:
Slope - Intercept form is y = mx + b
m = slope
b = y-intercept
We already have the slope of -1. Substitute it into the equation.
y = -x + b
To find b, substitute the given point (2, -3) into the equation.
-3 = -2 + b
b = -1
Substitute the value of b into the equation and you are left with:
y = -x - 1
Answer:
y = -1x - 3
Step-by-step explanation:
y = mx + b
m = slope = -1
b = y-intercept = -3
Plug in
y = -1x - 3
Answers
I am more than happy to help but i need you to tell me the dropbox options please :)
If they are 1,2 and 3 in the dropbox then:
1) would be 1
2) would be 3
3) would be 2
Answer:
they're all aligned with they're answers actually
num 1 would go with the first one, the num 2 would go with the second one, and num 3 one would go to the third one
~batmans wife dun dun dun...aka ~serenitybella
Answers
If there are 18 people, then 12 of them are athletes.
If there are 3 athletes, then there are 12 musicians.
The number of musicians is 3 times the number of athletes
Answers
Answer: The answer is (D) The number of musicians is 3 times the number of athletes.
Step-by-step explanation: Given that the ratio of musicians to athletes in a school is 3 : 1. We are to select the correct statement out of the given four options.
Since the total number of people are not given, so we cannot say that 13 of them are musicians. Therefore, option (A) is incorrect.
If there are 18 people, then number of athletes is given by
and hence the option (B) is not correct.
If there are 3 athletes, then
x=3, and so the number of musicians = 3 × 3 = 9 ≠ 12. Therefore, the option (C) is not correct.
Number of musicians = 3x = 3 × x = 3 × number of athletes.
Thus, the correct option is (D) The number of musicians is 3 times the number of athletes.
This question is confusing me.
Answers
Answer:
View Image
Step-by-step explanation:
Note that 1/√(2) is equal to √(2)/2:
1/√(2) = √(2)/2
So we're given that sin(x-20) = √(2)/2
The only place on the unit circle where sin() is equal to √(2)/2 is at π/4 and 3π/4.
That means the value inside the sine must be equal to π/4 and 3π/4:
since sin(π/4) = √(2)/2 and sin(π/4) = √(2)/2
then,
sin(π/4) = sin(x-20) and sin(π/4) = sin(x-20)
You set the inside of the parentheses equal to each other and solve for x.
You can also add a +2πk at the end since all sinusoidal graph repeats every 2π.
Answers
Richard's gross pay for the month was $ 4,512.5.
It is required to find the gross pay for the month.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.
salary = $2,450.00 per month
Last month salary= $2,500.00 in oil changes,
tune ups=$4,500.00
sold =$28,200.00 in parts.
According to given question we have,
2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X
2,450 + 75 + 225 + 1,762.5 = X
2,450 + 2,062.5 = X
4,512.5 = X
Therefore, Richard's gross pay for the month was $ 4,512.5.
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Answer:
21
Step-by-step explanation: