Tutors Answer Your Questions about absolute-value (FREE)
Question 1207367: Rewrite each expression in a form that does not contain absolute values:
(a) |pi - 4| + 1
I know that the quantity pi - 4 is negative. So, -(pi - 4) = -pi + 4.
Is this right?
I need help with (b) and (c).
(b) |x - 5|, given that x > or = 5
(c) |t - 5|, given that t < 5.
Note: The book tells me to use the formal definition of absolute value.
Click here to see answer by greenestamps(13203)   |
Question 1207367: Rewrite each expression in a form that does not contain absolute values:
(a) |pi - 4| + 1
I know that the quantity pi - 4 is negative. So, -(pi - 4) = -pi + 4.
Is this right?
I need help with (b) and (c).
(b) |x - 5|, given that x > or = 5
(c) |t - 5|, given that t < 5.
Note: The book tells me to use the formal definition of absolute value.
Click here to see answer by ikleyn(52818)  |
Question 1207369: Simplify |x-1| + |x-2| given that x is in the open interval (1,2).
Note:
The book tells me that since x > 1, then x - 1 is positive.
So, |x-1| = x - 1.
Where does it say that x > 1?
The book goes on to say that x < 2.
Since x < 2, then x - 2 is negative.
So, |x-2| = -(x-2) = -x + 2.
Where does it say that x < 2?
The author went in to do this:
x - 1 - x + 2 = 1.
The answer is 1.
However, my two questions are:
1. Where does it say that x > 1?
2. Where does it say that x < 2?
Click here to see answer by ikleyn(52818) |
Question 1207369: Simplify |x-1| + |x-2| given that x is in the open interval (1,2).
Note:
The book tells me that since x > 1, then x - 1 is positive.
So, |x-1| = x - 1.
Where does it say that x > 1?
The book goes on to say that x < 2.
Since x < 2, then x - 2 is negative.
So, |x-2| = -(x-2) = -x + 2.
Where does it say that x < 2?
The author went in to do this:
x - 1 - x + 2 = 1.
The answer is 1.
However, my two questions are:
1. Where does it say that x > 1?
2. Where does it say that x < 2?
Click here to see answer by Edwin McCravy(20060)  |
Question 1207369: Simplify |x-1| + |x-2| given that x is in the open interval (1,2).
Note:
The book tells me that since x > 1, then x - 1 is positive.
So, |x-1| = x - 1.
Where does it say that x > 1?
The book goes on to say that x < 2.
Since x < 2, then x - 2 is negative.
So, |x-2| = -(x-2) = -x + 2.
Where does it say that x < 2?
The author went in to do this:
x - 1 - x + 2 = 1.
The answer is 1.
However, my two questions are:
1. Where does it say that x > 1?
2. Where does it say that x < 2?
Click here to see answer by mccravyedwin(408)  |
Question 1207503: West Palm Beach hosted a local middle school basketball tournament where each
team played three games. In the last game, the Tigers scored 56 points, which
was 17 points different from what they scored in the second game. The score of
the second game was 12 points different from the score of the first game. What
could have been the amount of points the Tigers scored in the first game?
Click here to see answer by ikleyn(52818) |
Question 1207505: The U.S.S. Johnston is the world’s deepest recorded shipwreck at a depth of
21,180 feet in the Philippine Sea. The Mariana Trench, located in the western
Pacific Ocean, is the world’s deepest oceanic trench with a depth of 36,037 feet.
Part A: The ? is closest to sea level.
a)Mariana Trench
b)U.S.S. Johnston shipwreck
Part B: The distance between the location of the U.S.S. Johnston and the depth
of the Mariana Trench is .
c) −57,217 feet
d) −14,857 feet
e) 14,857 feet
f) 57,217 feet
Click here to see answer by ikleyn(52818) |
Question 1208169: Kilauea is an active shield volcano on the island of Hawai’i. The height of the volcano above sea level is 𝟏,𝟐𝟓𝟎 meters. Much of the volcano is submerged below sea level. When including the portion below sea level, the
volcano has a total height of 𝟔,𝟎𝟗𝟔 meters.Which distance is greatest and by how many meters?
a. The distance between the peak of Kilauea and sea level; by 6,069 meters.
b. The distance between the peak of Kilauea and sea level; by 1,250 meters.
c. The distance between the base of Kilauea on the ocean floor and sea level; by 7,319 meters.
d. The distance between the base of Kilauea on the ocean floor and sea level; by 4,819 meters.
Click here to see answer by ikleyn(52818) |
Question 1208169: Kilauea is an active shield volcano on the island of Hawai’i. The height of the volcano above sea level is 𝟏,𝟐𝟓𝟎 meters. Much of the volcano is submerged below sea level. When including the portion below sea level, the
volcano has a total height of 𝟔,𝟎𝟗𝟔 meters.Which distance is greatest and by how many meters?
a. The distance between the peak of Kilauea and sea level; by 6,069 meters.
b. The distance between the peak of Kilauea and sea level; by 1,250 meters.
c. The distance between the base of Kilauea on the ocean floor and sea level; by 7,319 meters.
d. The distance between the base of Kilauea on the ocean floor and sea level; by 4,819 meters.
Click here to see answer by josgarithmetic(39621) |
Question 1208169: Kilauea is an active shield volcano on the island of Hawai’i. The height of the volcano above sea level is 𝟏,𝟐𝟓𝟎 meters. Much of the volcano is submerged below sea level. When including the portion below sea level, the
volcano has a total height of 𝟔,𝟎𝟗𝟔 meters.Which distance is greatest and by how many meters?
a. The distance between the peak of Kilauea and sea level; by 6,069 meters.
b. The distance between the peak of Kilauea and sea level; by 1,250 meters.
c. The distance between the base of Kilauea on the ocean floor and sea level; by 7,319 meters.
d. The distance between the base of Kilauea on the ocean floor and sea level; by 4,819 meters.
Click here to see answer by math_tutor2020(3817) |
Question 1208191: MANUFACTURING A hardware store sells bags of rock salt that are labeled as weighing 35 pounds. The equipment used to package the salt produces bags with a weight that is within 8 ounces of the label weight.
Write an absolute value equation to determine the maximum and minimum weights for the bag of rock salt. Let x represent the weight of the bag, in pounds.
Click here to see answer by ikleyn(52818) |
Question 1208193: Multiple Choice. Selma threw a ball 10 feet up in the air out of a window, then it fell 25 feet down to the ground. Which expression best represents the total distance the ball traveled?
a. 10 − 25
b. 10 + |−25|
c. 25 − 10
d. 25 + |−10|
Click here to see answer by ikleyn(52818) |
Question 1208193: Multiple Choice. Selma threw a ball 10 feet up in the air out of a window, then it fell 25 feet down to the ground. Which expression best represents the total distance the ball traveled?
a. 10 − 25
b. 10 + |−25|
c. 25 − 10
d. 25 + |−10|
Click here to see answer by math_tutor2020(3817) |
Question 1208195: Multiple Choice. Markel borrowed $53.82 from his father to purchase a video game. After washing cars on the weekend, he paid his father back using the money he earned. After the weekend he had $16.23 left to put in his wallet on Monday. For what value of money represents when Markel had paid the money back to his father?
a. −53.82
b. 0
c. 16.23
d. 37.59
Click here to see answer by josgarithmetic(39621) |
Question 1208195: Multiple Choice. Markel borrowed $53.82 from his father to purchase a video game. After washing cars on the weekend, he paid his father back using the money he earned. After the weekend he had $16.23 left to put in his wallet on Monday. For what value of money represents when Markel had paid the money back to his father?
a. −53.82
b. 0
c. 16.23
d. 37.59
Click here to see answer by ikleyn(52818) |
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