Which is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −8?
Answers
Answer:
An equivalent form of the compound inequality is the pair of single inequalities:
- -2x - 8 < - 44, and
- −2x − 8 ≥ −8
Explanation:
You can split the compound inequality into two equivalent inequalities by taking each side from the variable.
The compound inequality −44 > −2x − 8 ≥ −8 means that two conditions must be satisfied:
1. From the left side: - 44 > - 2x - 8
2. From the right side: −2x − 8 ≥ −8
Then, as a first approach you can tell that an equivalent form of the compound inequality is the pair of single inequalities:
- -44 > -2x - 8, and
- −2x − 8 ≥ −8
You should put the variable on the left sides, which will yield the best form of an equivalent pair of inequalitis.
- - 2x - 8 < -44, and
- - 2x - 8 ≥ - 8
That is the best choice of an equivalent form, and from there you can solve the inequalities which will permit to obtain the solution. Of course, you can manipulate the variable and find many other equivalent forms.
Notice, that both inequalities must be satisfied simultaneously.
This is how you solve that system
- - 2x - 8 < -44n
Add 8 to both sides: - 2x < -36
Divide both sides by - 2 (you have to change the sign): x > 18
- - 2x - 8 ≥ - 8
-
Add 8 to both sides: - 2x ≥ 0
Divide by - 2 (again, you must change the sign): x ≤ 0
Then, the solution set is:
- x > 18 and x ≤ 0 and that is an empty set, since x cannot be at the same time greater than 18 and less or equal to 0.
This is, you conclude that the compound inequality is false, because there is not a value of x which is a solution.
Answer:
22 and 0
Step-by-step explanation:
−44 > −2x − 8 ≥ −8?
/-2 - 44 > -2x / . -2 -8 ≥ -8
= 22 +8 =0
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Answers
For Aarons notebook ^
_______________________________________
step one : divide 2 from 27.78 = 13.89
For Erins notebook^
theres your answers!
Answers
5.2
5.2/1
Convert 52/10 in to a mixed number:-
52 ÷ 10 = 5.2
Mixed number =
So, the decimal is equivalent to 5 1/5.
A. x= - √14/3 -4
B. x= - √10/3
c. x= √14-4/3
d. x=√10/3
e. x= - √14-4/3
f. x= √14/3-4
Answers
(3x + 4)2 = 14
(3x + 4)2 means that 2 will multiply both 3x and 4
2 * 3x = 6x 2 * 4 = 8
6x + 8 = 14
Move +8 to the other side of the equation
6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -
6x = 14 - 8
6x = 6
Divide both sides by 6 because of the 6 beside the x : 6x
6x/6 = 6/6
x = 1
Answers
Circumference:
2*π*radius.
2*3.14*5
31.4
Circumference = 31.4
Surface area:
Substitute the values of the radius (r=5), the height (h=9), and an approximation for π(3.14) into the formula.
SA=2(3.14)(5)^2+2(3.14)(5)(9)
Simplify each term.
SA=157+282.6
Add 157 and 282.6 to get 439.6.
Surface area=439.6cm^2
Volume:
Substitute the values of the radius (r=5), the height (h=9), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅5^2⋅9
Raise 5 to the power of 2 to get 25.
V≈+3.14⋅25⋅9
Simplify
Volume = 706.5cm^3
2.
Circumference:
2*π*radius.
2*3.14*9
56.52
Circumference=56.52
Surface area:
Substitute the values of the radius (r=9), the height (h=24), and an approximation for π(3.14) into the formula.
SA=2(3.14)(9)^2+2(3.14)(9)(24)
Simplify each term.
SA=508.68+1356.48
Add 508.68 and 1356.48 to get 1865.16.
Surface area = 1865.16in^2
Volume:
Substitute the values of the radius (r=9), the height (h=24), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅9^2⋅24
Raise 9 to the power of 2 to get 81.
V≈+3.14⋅81⋅24
Multiply 3.14 by 81 to get 254.34.
V≈+254.34⋅24
Multiply 254.34 by 24 to get 6104.16.
V≈+6104.16in^3
3.
Circumference:
2*π*radius.
2*3.14*10
62.8
Circumference=62.8
Surface area:
Substitute the values of the radius (r=10), the height (h=15.5), and an approximation for π(3.14) into the formula.
SA=2(3.14)(10)^2+2(3.14)(10)(15.5)
Simplify each term.
SA=628+973.4
Add 628 and 973.4 to get 1601.4.
SA=1601.4
Surface area=1601.4cm^2
Volume:
Substitute the values of the radius (r=10), the height (h=15.5), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅10^2⋅15.5
Group coefficients together and exponents together to multiply numbers in scientific notation.
V≈+(3.14⋅15.5)(10^2)
Multiply 3.14 by 15.5 to get 48.67.
V≈+48.67⋅10^2
Write 48.67⋅10^2 in proper scientific notation.
V≈+4.867⋅10^3cm^3
4.
Circumference:
2*π*radius.
2*3.14*24
Circumference=150.72
Surface area:
Substitute the values of the radius (r=24), the height (h=6), and an approximation for π(3.14) into the formula.
SA=2(3.14)(24)^2+2(3.14)(24)(6)
Simplify each term.
SA=3617.28+904.32
Add 3617.28 and 904.32 to get 4521.6.
SA=4521.6
Surface area=4521.6in^2
Volume:
Substitute the values of the radius (r=24), the height (h=6), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅24^2⋅6
Raise 24 to the power of 2 to get 576.
V≈+3.14⋅576⋅6
Multiply 3.14 by 576 to get 1808.64.
V≈+1808.64⋅6
Multiply 1808.64 by 6 to get 10851.84.
V≈+10851.84in^3
To solve the second part to the problem just find the two items in your home and solve for the circumference, surface area, and volume. You can look back at my steps for formulas if you need help.
Answers
Answer:
the answer is -97, -83, -21, 34, 55, 56
Step-by-step explanation:
The simple way to put it is negitives are backwards, the bigger the number the lesser it gets. So always put the highest negitive as least, hope this helps!
Answer:
-97, -83, -21, 34, 55, 56
Step-by-step explanation:
That's because think of a number line. The farther right the number is, the number will be smaller since it's a greater negative number. And the farther left the number is, the bigger the number since it is a greater positive number.
HOPE THIS HELPS!!!
Answers
Answer:
"moderate negative"
Step-by-step explanation:
When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.
When the trend is positive it means that one variable increases when the other also increases.
When the trend is negative it means that one variable decreases as the other increases ..
The relationship between both variables can be strong or weak.
If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).
If the relationship is weak, the points will be more and more scattered without any relation between them.
In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"