Answers
x ≤ -2 OR x ≥ 4
__________________________________________________________
Step-by-step explanation:We are given the inequality:
|2x - 2| ≥ 6
Getting rid of the Modulus:
Since 2x-2 is in modulus:
|2x-2| = -(2x-2) OR 2x-2
(since the modulus of both these values is 2x-2)
Hence, our inequality can be written in 2 different ways:
2x-2 ≥ 6 (if 2x-2 ≥ 1)-(2x - 2) ≥ 6 (if 2x-2 < 0)__________________________________________________________
Solving these 2 inequalities:
Solving inequality 1:
2x - 2 ≥ 6
2x ≥ 8 [adding 2 on both sides]
x ≥ 4 [dividing both the sides by 2]
This is the solution of the inequality if: 2x-2 ≥ 0
Solving Inequality 2:
-(2x-2) ≥ 6
It can be rewritten as:
2 - 2x ≥ 6
2 ≥ 6 + 2x [adding 2x on both the sides]
-4 ≥ 2x [Subtracting 6 from both sides]
x ≤ -2 [Dividing both sides by 2]
This is the solution of the given inequality if: 2x-2 < 0
__________________________________________________________
Solution of the given Inequality:
Therefore, the solution of the given inequality |2x-2| ≥ 6 are:
x ≥ 4 (if 2x-2 ≥ 0)
x ≤ -2 (if 2x-2 < 0)
Hence, option C is correct!
Related Questions
(s+12)+(-3s-8) equals?
Answers
Answer:
-2s + 4
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Define expression
(s + 12) + (-3s - 8)
Step 2: Simplify
Combine like terms (s): -2s + 12 - 8Combine like terms (constants): -2s + 4what is 903 minus 538
Answers
Answer: Your answer is 365
Step-by-step explanation: Hoped this helped you. And have a wonderful day!!!
The final result of 903 - 538 is 365.
To subtract 538 from 903, you perform the following calculation:
903 - 538 = 365
To explain the process, you start with the number 903 (minuend) and subtract 538 (subtrahend) from it.
1. Begin with the units place: 3 - 8. Since 8 is greater than 3, you borrow 1 from the tens place. The units place becomes 3 + 10 (borrowed) - 8 = 5.
2. Move to the tens place: 0 (in 903) - 3 (borrowed) - 3 (from 538) = -6.
3. Lastly, the hundreds place: 9 - 5 (from 538) = 4.
To know more about final result:
https://brainly.com/question/9163788
#SPJ2
the scale on a blueprint for a new apartment is 1 in equals 4 feet if the length of the living room on the blueprint is 6 in, what is going to be the actual length of the living room?
Answers
Answer:
The actual length of the living room is 24 feet.
Step-by-step explanation:
Scaling
The scaling on a blueprint for an apartment is:
1 inch = 4 feet
This means every 1 inch measured on the blueprint corresponds to 4 feet on the real length of the apartment.
We know the length of the living room in the blueprint is 6 inches, thus the real dimension of the living rooms is:
6 * 4 = 24 feet
The actual length of the living room is 24 feet.
Two lines are perpendicular. The slope of the first line is 3/5. What is the slope of the second line?
Answers
-5/3
Step-by-step explanation:
m1 = 3/5
m1 * m2 = - 1. For a pair of perpendicular line.
Usking that m2 = - 5/3
use the elimination method to solve the system of equations. choose the correct ordered pair. 7x+3y=30 -2x+3y=3
Answers
Answer:
x = 3, y = 3
Step-by-step explanation:
Elimination method to find x:
(7x + 3y = 30) * -1 ===> -7x - 3y = -30
-2x + 3y = 3
add two equations to eliminate y ______________
-9x = -27 ===> x = 3
substitution to find y:
-2x + 3y = 3
-2(3) + 3y = 3
-6 + 3y = 3
3y = 9
y = 3
Elimination method to find y:
(7x + 3y = 30) * 2 ===> 14x + 6y = 60
(-2x + 3y = 3) * 7 ===> -14x + 21y = 21
add two equations to eliminate x ______________
27y = 81 ===> y = 3
Apple launches an ad campaign for iPhone 12. Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign. How many social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2% (ME=0.02)?
Answers
Answer:
social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%
Sample size 'n' = 625
Step-by-step explanation:
Step(i):-
Given data Apple launches an ad campaign for iPhone 12
Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign
probability of positive reactions p = 1/2
Probability of negative reactions q = 1-p = 1/2
we know that [tex]\sqrt{p(1-p}\leq \frac{1}{2}[/tex]
Step(ii):-
Given margin of error = 2 % =0.02
The margin of error is determined by
[tex]M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }[/tex]
[tex]0.02 = \frac{\frac{1}{2} }{\sqrt{n} }[/tex]
[tex]\sqrt{n} =\frac{1}{2 X0.02}[/tex]
√n = 25
squaring on both sides, we get
n = 625
52.35 for 15 gallons
Answers
Please help I’m struggling on this topic
Answers
explanation: in the corner of (2x+18)°, it would be 90° as it is a right angle, 90-18=72 72/2=36, putting it into the equation 2(36)+18=90°. for (3x+6), putting 36 as x 3(36)+6=114° since every 3-sided triangle and a line with another line crossing through has angles that add up to 120°, if you add up 90 and 24 you get 114°, 120-114=6. if you add 6 to the 114° from the (3x+6)° equation you also get 120°, therefore x=36
The following equations involve different quantities and use different operations, yet produce the same result (4.13 x 103 = 4130 & 413,000 ÷ 102 = 4130) Use any strategy and words to explain why this is true
Answers
Answer:
fzdgxfmhcgj,hvjb.√∆≤ç˙
Step-by-step explanation:
Answer:
heyyyyyyyyyyyyyyy
Step-by-step explanation:
Identify the index in the radical below.
V34
A 3
B. 4
C. 7
D. The radical above does not have an index.
Answers
so your answer is C.
Answer:
I am going to say the answer is D.The radical above does not have an index.
What is 3/5written as a decimal?
Answers
Answer:
0.6
Step-by-step explanation:
Not much math here.
Answer:
Step-by-step explanation:
0.6 hope this helps
What slope would make the lines
perpendicular?
y. = }x+6
= [?]x+ 3
Answers
Answer:
to make it perpendicular the slope as to be -5 (opposite reciprocal of the original)
у
Test Scores in Relation to Homework
100
90
80
70
60
Test Scores
50
40
30
20
10
0
1 2
3
8
9
4 5 6 7
Hours of Homework
Draw a line of the best fit on the graph
Answers
2 -20
Continue going on in on
Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian get over Colin?
Answers
Let 2x = Paul
Let x = Colin
Let 5x = Brian
2x + x + 5x = 78.40
8x = 78.40
x = 78.40 ÷ 8
x = 9.8
Brian gets 5(9.8) which is 49.
Colin gets 9.8.
Brain over Colin means 49/9.8 = 5.
Brain gets £5 more than Colin in terms of a tip.
A four-year college’s application process takes into account all of the following except. HELP MEEEEE
Answers
Answer:
C. middle school grades
Step-by-step explanation:
Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.
Hope this helps :)
Nancy Boone’s new automobile had an MSRP of $27,853.00. The dealer prep charge was $278.50 and the title fee was $25.00. Options totaled $2,375.50. Find the sales tax rate, to nearest hundredth percent, if the total cost was $32,591.22 and the sales tax applied to everything but the title fee.
Answers
Answer:
The sales tax included in the sale of the car is 15.76%.
Step-by-step explanation:
Given that the MSRP of the car bought by Nancy Boone is $ 27,853, and the total cost of the car was $ 32,591.22, including sales tax, plus a dealer prep charge of $ 278.50 and a title fee of $ 25, to find out the percentage of sales tax ( which does not include the title fee) it is necessary to perform the following calculation:
32,591.22 - 25 = 32,566.22
27,853 + 278.5 = 100
32,566.22 = X
28,131.5 = 100
32,566.22 = X
(32,566.22 x 100) / 28,131.5 = X
3,256,622 / 28,131.5 = X
115.76 = X
115.76 - 100 = 15.76
Thus, the sales tax included in the sale of the car is 15.76%.
Simplify 13w + 22 + 2w -25
Answers
Answer:
15w -3
Step-by-step explanation:
13w + 22 + 2w -25
15w -3
Answer:
15w - 3
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Define expression
13w + 22 + 2w - 25
Step 2: Simplify
Combine like terms (w): 15w + 22 - 25Combine like terms (constants): 15w - 3What is the ratio of the rise over runof the line 2x -6y = 12?
Answers
Answer:
1/3
Step-by-step explanation:
The ratio of the side lengths of a triangle is 2:3:4. The shortest side is 15 inches. What is the perimeter? Explain. Pleas show your work. I will give brainiest to the best and first answer
Answers
Ratio of the sides of the triangles,
2 : 3 : 4
Let's consider each side to be
2x,3x and 4x
Therefore the perimeter of the triangle is,
2x + 3x + 4 x = 9x
The shortest side is 15 inches.
We know that the smallest value in the above ratio is 2
Therefore,
2x = 15 inches
x = 7.5 inches
☞Perimeter of the triangle
= 9x
= 9 * 7.5 inches
= 67.5 inches
Evaluate the factorial expression.
19!
16!(3 - 1)!
Answers
Answer:
2907Step-by-step explanation:
19!/16!(3-1)! =16!*17*18*19/16!2! =17*18*19/1*2 = 17*9*19 =2907PLSSS HELP ILL MARK BRAINLIEST!!!!
What is the value of the expression shown below?
3+ (2 + 8)^2 = 4x(1/2)^4
Answers
Answer:
412
Step-by-step explanation:
103=4x(1/16)
103*16=4x
103*4=x
412=x
I would appreciate the help!
Answers
Answer:
its b I'm pretty sure. it makes the most sense i
Answer:
A
Step-by-step explanation:
Multiply 15 by 8 to get 120. 120 + 15 × 11 = 285. 285 + 15 × 22 = 615. 615 + 20 × 7 = 755. 755 + 20 × 6 = 875. 875 + 20 × 14 = 1,155. 1,155 - 292.58 = 862.42. 862.42 - 292.58 = 569.84. Remember PEMDAS.
Raquel Ruined 18 of her 30 assignments by spilling her smoothie. What percent of her assignments were not ruined?
Answers
Please help ASAP I don’t know how to do this
Answers
∆HGJ is isosceles
hence, angleH = angle J
8x = 6x + 18
8x - 6x = 18
2x = 18
x = 18/2
x = 9
angleH = 8x = 8×9 = 72
angleH =72°
which value of p is the solution of 5p-1=2p+20
Answers
Answer:
p=7
Step-by-step explanation:
5p-1=2p+20 first add 1 to both sides to get 5p=2p+21, then subtract 2p from both sides to get 3p=21, then divide by three to get p=7
Researchers are conducting a survey about what brand of ice cream shoppers prefer. They survey the tenth person who walks into the store and then every fifth person after that. This type of sampling is called
Answers
Answer:
Researchers are performing a study of what type of ice cream shoppers want. They're looking at the tenth person who goes to the shop, and every fifth person after that. This type of sampling is referred to as a random sampling.
Answer:
A. systematic random sampling.
Step-by-step explanation:
If there are 10 roses, 4 daisies, and 12 carnations in a vase, what are the chances of NOT picking a carnation?
Write your answer as a fraction.
Answers
above
3
If a is 63% of x and c is of x, which of the following is
8
the closest equivalent of the ratio of a to c?
3
Answers
Answer:
The closet equivalent of the ratio of 'a' to 'c' is:
[tex]\frac{a}{c}=1.680\:[/tex]
Step-by-step explanation:
Given
a is 63% of xi.e.
a=0.63x
c is 3/8 of x.i.e.
c=3/8x
Hence,
[tex]\frac{a}{c}=\frac{0.63x}{\frac{3}{8}x}[/tex]
[tex]\frac{a}{c}=1.680\:[/tex]
Thus, the closet equivalent of the ratio of 'a' to 'c' is:
[tex]\frac{a}{c}=1.680\:[/tex]
What is the slope? I will brain list you
Answers
Answer: It describes the direction and the steepness of the line.
Step-by-step explanation:
Zeke has swim club every 2 days and robotics Club every 8 days.
This month, he has swim club on the 2nd day of the month and robotics club on the 8th day of the month.
Zeke says that the first time he will have both clubs on the same day is the 16th day of the month because the LCM of 2 and 8 is 16.
Answers
Answer: No. Zeke found the LCM to be the product of two and eight but because eight is a multiple of two the LCM is eight so the first day he will have both clubs is the 8th day of the month
Step-by-step explanation:
all you have to do is fine the least common multiple of 2 and 8 which is eight so obviously zeke is incorrect because they said the least common multiple was 16 and it is not. zeke multiplied 2 and 8 which is not what you’re supposed to do to get the lcm.