2. Solve and graph.(a) Write the inequality as two inequalities without absolute value.
(b) Solve the inequality and write the solution set.
(c) Graph the solution on a number line.
Answers
if x >= 2
x - 2 > 5
x > 7
if x < 2
-x + 2 > 5
x < -3
hence the solution is: x belongs to (-inf, -3)U(7, inf)
graphical representation of solution
---------------------------) (--------------------
-inf -3 7 inf
Related Questions
I need help on this plz and thank you?!?
Question 2(Multiple Choice Worth 4 points)(02.01 LC) Figure EFGHK as shown below is to be transformed to figure E'F'G'H'K' using the rule (x, y) (x+8, y + 5):
2,000 water bottles are being labeled and boxed. Each box holds 6 water bottles. How many bottles will be left over?1 2 4 5
For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?
Answers
Answer:
30,000 milliliters
Step-by-step explanation:
There are 15 2-liter bottles, so you must get the total number of liters by multiplying 15 and 2 to get 30. Then, because there are 1,000 milliliters per liter, you multiply 30 by 1,000 to get 30,000 milliliters total.
Answers
Solve 3x-8y=-26 for x
Add 8y to both sides
3x-8y+8y=-26+8y
3x = 8y-26
Divide both sides by
3x/3 = 8y-26/3
x = 8/3 y + -26/3
Substitute 8/3 y + -26/3 for x in -5x+6y = 14
-5x+6y = 14
-5(8/3 y + -26/3 ) +6y = 14
Simplify both sides of the equation
-22/3 y + 130/3 = 14
Add -130/3 to both sides
-22/3 y + 130/3 + -130/3 = 14 + -130/3
-22/3 y = -88/3
Divide both sides by -22/3
-22/3 y / -22/3 = -88/3 / -22/3
Substitute 4 for y in x= 8/3 y + -26/3
x= 8/3 y + -26/3
x = 8/3 (4) + - 26/3
Simplify both sides of the equation
x = 2
Answer : x = 2 and y = 4
I hope that's help my friend !
Please if you have any question just asking and I will do my best to help you understand it .
Answers
{17, 27, 29, 31, 45}
{18, 24, 26, 30, 46}
{14, 23, 25, 31, 42}
{20, 24, 25, 26, 44
Answers
Substitute the values of the size of the 5 batches to the model.
For example
@x = 20
f(20) = 2*20 – 23 = 17
f(25) = 2*25 – 23 = 27
f(26) =29
f(27) = 31
f(34) = 45
Therefore the answer is the first choice (17, 27, 29, 31, 42)
B.) $31,046.07
C.) $25,657.90
Answers
Answer:
$25,657.90
Step-by-step explanation:
Edmentum
county X?
A a parallelogram with a base of 25 miles and a height of 25 miles
B a rectangle that is 15 miles long and 45 miles wide
C a right triangle with a leg that is 30 miles long and a hypotenuse that is
50 miles long
D a trapezoid with base lengths of 10 miles and 30 miles and a height of
25 miles
Answers
Answer:
Option C. is the correct option.
Step-by-step explanation:
County X has a population density of 250 people per square mile.
Total population of the county is 150000.
Total area which represents the population = =
square mile.
So geometric model which has the same area as 600 square miles will be the answer.
A). Area of a parallelogram = Base × height
= 25×25
= 625 square miles
which is not equal to 600 square miles so it's not the correct option.
B). Area of a rectangle = Length×width
= 15×45 = 675 square miles ≠ 600 square miles
Therefore, not the correct option.
C). Area of a right triangle =
Since length of hypotenuse is given so we will find the length of height.
Height = √[(Hypotenuse)²- (Base)²] =
=
=
= 40 miles
So area of the right triangle =
=
= 600 square miles
Which matches the area of County X, so it's a correct option.
D). area of trapezoid =
=
=
= 20×25
= 500 square miles ≠ 600 miles
Therefore, this option is not correct.