In a science experiment, the temperature of a substance is changed from 42 °F to -54 °F at an average rate of -12 degrees per hour. Over how many hours does the change take place? Which statement best represents the distance on a number line between -14 and -5? A) -14 - (-5) B) -14 + (-5) C) -5 - (-14) D) -5 + (-14) On a 4 1/2 hour trip, Christopher drove 2/3 of the time. For how many hours did Christopher drive?

Q: y 3. a. Show how to use a number line to calcu- late -1 + (-2). sidong b. Show how to use a number…

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Q: Use a real number line to describe why I- 4 I= 4.

A: We have to show that, I- 4 I= 4 by using a real number line. Since, the symbol "I I" represents the…

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) 4) (-3,3)

A: Here given  -3≤x≤3

Q: If (-9,-1) is an interval on the number line, find the value is in the middle of the interval The…

A: SOl  (-9,-1) is an interval on the number line, Hence the value is in the middle of the interval is

Q: There are two questions (in image), you worked on question 1. So, you said x=-1336 but also you had…

A: MATRIX : A set of numbers arranged in rows and columns so as to form a rectangular array. The…

Q: Let n be the middle number of three consecutive even integers. Write an expression for the sum of…

A: Given: Let n be the middle number of three consecutive even integers…

Q: 1 on the number line below. 6. Plot the numbers -2 and 1- -3 -2 -1 1 2. 1/3

A: We need to plot given no. on the number line.

Q: Next Ques 47 If A= -1 find AB -42-5 2-2 47 AB= (Simplity your answer) -1 -42 -5

A: Solve the matrix

Q: The number line shows the change in temperature from 7:00 a.m. to 1:00 p.m. 7:00 a.m. 1:00 p.m. -8-6…

A: Given data:   The given temperature at 7:00 a.m. is T1=-4. The given temperature at 1:00 p.m. is…

Q: A collector purchased a rare coin for $100.  After the purchase, the coin’s value increased by…

A: Algebra Question

Q: Examine the equation below, why must we fill the box with the number 4? Why isn’t 5 (... or 6... or…

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Q: A boat travels upstream for 120 miles in 4 hours and returns in 3 hours traveling downstream in a…

A: Let the rate of the boat in the still water be x and the rate of the current be y. The rate or speed…

Q: Is 2k-1 odd or even number ?? Write conclusion and proof.

A: Even number is a number which is a multiple of 2.

Q: The point on the number line represents the value a. -2 -1 0 1 2 3 4 5 -5 -4 -3 What is the value of…

A: point on number line which is red dotted is 4 So value of a is = 4 And ,Value of -a is = -4

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. If…

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Q: Which number line shows the solutions to n > -2? + 4 5 6 -6 -5 -4 -3 -2 -1 0 1 2 +++ 1 2 3 4 5 6 -6…

A: Given: To identify the line which shows n>-2

Q: 2. Identify the values of the variable for which 4 - x is defined. Show the values on a number line.

A: Given √(4-x) is given function. Generally for a root function the value in root must be greater than…

Q: Identify the point (xo, yo) on the line 7x – 12y = 10 that is closest to the origin. (Give your…

A: Identify the point (x0,y0) on the line 7x-12y=10 that is closet to the origin.

Q: Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the…

A: The time required to fill the tub by   The hot and the cold faucet together         = 4 minThe hot…

Q: Anna draws a map with a number line connecting her house to Ben’s house. On the number line, the…

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Q: Give an example of a sentence that is not a mathematical statement. Explain why

A: claim- give an example of a statement that is not a mathematical statement. explain why as we know…

Q: What is the interval notation for × >-6 and × > -3

A: Given x > -6,   x > -3

Q: T-shirts are being sold for $40 per shirt and the store owner was selling an average of 60 shirts a…

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Q: How do you do exponets with negative Numbers expressions and equations

A: Exponents: The exponent of number says how many times to use the number in multiplication. for e.g.…

Q: Imagine that the number line shown below is balanced on a fulcrum at the point r = 0. Two points are…

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Q: A 12-inch candle is lit and steadily burns until it is burned out. a. As the burned length of the…

A: Given that length of the candle is 12 inch and it steadily burns untill it burns out .

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: Determine whether the below given statement makes sense or does not make sense, and explain your…

A: Yes, The statement If 5-2 is raised to the third power, the result is a number between 0 and 1 makes…

Q: If ​(-5.6, 1.8​) is an interval on the number​ line, find the value that is in the middle of the…

A: The interval on the number line is (-5.6,1.8)

Q: Determine the value of each expression. Expression Value -15 12 15 -12 12

A: Given data is : Determine the value of the above expression.

Q: 5 8. Plot the numbers and on the number line below. -- -3 -2 -1 1 3.

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Q: Which is equivalent to 50 - 10 - 15? A- 50 - (-10) + (-15) B- 50 + (-10) - (-15) C- 50 + (-10) +…

A: We have to check

Q: 5. Consider x+ 4 = x +8. What values could be substituted for x to make this a true number sentence?…

A: From the given equation

Q: 6. Fifth grader Lindsey was solving -4 – -9 =?. Her friend Ashley solved the problem -4 + 9 instead…

A: To solve the given problem

Q: Use a number line to show 4 + (-7). Then complete the equation that shows the sum. 4 +(-7) = 十十+…

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Q: A Cebu Pacific Airplane and a Super Ferry Ship leave the same spot in Tarlac City at the same time.…

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Q: How many interpretations are there for the number Express your answer as an integer.

A: The number 5000 is a natural number.  It can also be a whole number. Again the number 5000 can be…

Q: 4. Marta drew the following model of a number line to represent an equation. -8 -7 -6 -5 -4 -3 -2 -i…

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Q: Explain the truncation error ?

A: Truncation error is defined as the difference between the true (analytical) derivative of a function…

Q: What is the meaning of a| in terms of a number line?

A: Given: a To define: The term |a| in terms of a number line.

Q: 6. To get to Michael's house, Angela leaves her house travelling at 40 km/h along a road in an…

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Q: 4. Subtract using a number line. 9-7 Plot the value on the number line that corresponds to the…

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Q: Explain why the symbol for zero is needed in a positional system? Our Hindu-Arabic system use use…

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Q: what is a mathematical statement that two expressions are equal called ?

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Q: The first five terms in a pattern of numbers are shown. 2.4, - 3.4, -9.2, -15,-20.8, ... If the…

A: Checking whether it is arithmetic progression. And proceed further

Q: how far is 5 and -2 1/4 on the number line

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Q: A cell phone company dropped the prices on their phones by 9%. Which expression shows the NEW PRICE…

A: Result: n percentage of x=n100x Let p be the price of a phone. The cell phone company dropped the…

Q: Which number line shows the solutions to a - 2> 0? -3 -2 -1 01 2 3 4 5 6 7 + HO+++++++ -3 -2 -1 01 2…

A: Given inequality 12x-2>0

Q: Which set of phrases best describes A = {-3, -2, -1, 0, 1, 2, 3, -.}? • a integers; greater than or…

A: The numbers used for the counting are called natural numbers. The natural numbers along with zero…

Q: Which sentence illustrates the associative property for multiplication?

A: Given: 1.ab=ba2.abc=abc3.a·1=a4.ab+c=ab+ac

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.