Tutors Answer Your Questions about absolute-value (FREE)
Question 735594: hi, can you help me solve theses questions?
thank you.
Which of the following statements says that a number is between -3 and 3?
|x| = 3
|x| < 3
|x| > 3
Which graph is the solution to |x| > 10?
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| < 3
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| > 4
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| = -2
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| > 1
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x| >
Solve |2x - 5| = 4.
{x | x = -4.5 or x = 4.5}
{x | x = 0.5 or x = 4.5}
{x | 0.5 < x < 4.5}
he graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them?
|x + 3| < -5
|x + 8| < 2
|x + 3| < 5
Solve |x| > -9.
{x | x < -9 or x > 9}
all reals
no solution
Click here to see answer by ikleyn(53096)   |
Question 1209890: Find all real numbers x that satisfy the equation
|x + 4| + |x - 7| = 3x - 1 + |3x - 7|.
If you find more than one such value of x, list all of your solutions separated by commas. If you only find one solution, then just enter that solution.
Click here to see answer by josgarithmetic(39648) |
Question 1209890: Find all real numbers x that satisfy the equation
|x + 4| + |x - 7| = 3x - 1 + |3x - 7|.
If you find more than one such value of x, list all of your solutions separated by commas. If you only find one solution, then just enter that solution.
Click here to see answer by CPhill(2030)  |
Question 1176244: In presidential elections, each state has a designated number of votes in the Electoral College, which are generally all cast for the candidate who won the popular vote in the state. The number of members of the Electoral College from each state is based on the number of Senators and House of Representatives.
a. If a presidential candidate is 42 votes ahead of his opponent before the votes for the state of California are added, what absolute value equation would represent the margin of votes between the candidate and his opponent after California’s 55 votes are cast?
b. What absolute value equation can be used to determine the minimum number of votes needed to change the outcome of the election in question 4?
Click here to see answer by CPhill(2030) |
Question 1209365: (1) Let a_1, a_2, a_3 be real numbers such that
|a_1 - a_2| + 2 |a_2 - a_3| + 3 |a_3 - a_1| = 1.
What is the largest possible value of |a_1 - a_2|?
(2) Let a_1, a_2, a_3, \dots, a_{10} be real numbers such that
|a_1 - a_2| + 2 |a_2 - a_3| + 3 |a_3 - a_4| + 4 |a_4 - a_5 | + \dots + 9 |a_9 - a_{10}| + 10 |a_{10} - a_1| = 1.
What is the largest possible value of |a_1 - a_6|?
Click here to see answer by ikleyn(53096) |
Question 1199314: How to see that a complete subfield F in Q_p with absolute value | |_p, is actually Q_p itself?
We have one inclusion: F\subset Q_p.
Trying to show that Q_p\subset F. Q_p is complete with respect to | |_p. take an element x in F\subset Q_p, so there exists a cauchy sequence x_n in Q_p such that x_n—>x.
But F id also complete so there exists y_n in F such that
y_n—>x, but then x_n=y_n, so can we say that Q_p\subset F and we're done?
Click here to see answer by textot(100) |
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(53096) |
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(39648) |
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(3824) |
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(53096) |
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(53096) |
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(3824) |
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(39648) |
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(53096) |
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