8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Answers
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
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Step-by-step explanation:
mean- average
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25, 27, 24, 26, 40
{ rearrange }
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suppose: the equation of the parabola is y = ax² + bx + c
because the parabola passes through (126,0); (134,3200); (334,0)
=> we have the equations:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.
76 stands for the mathematical operation exponentiation of seven by the power of six.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answers
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Answer:
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! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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X-coordinates: 0 and 2. 0 - 2 = -2
Y-coordinates: 2 and 1. 2 - 1 = 1
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Answers
Answer: 17/18
In words, this is seventeen eighteenths
==========================================
Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
----------------
note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
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Answer: its 17/18
Step-by-step explanation:
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Step-by-step explanation:
Nicolas sold 86 newspapers on Monday 79 on Tuesday and 68 on Wednesday and 83 on Friday how many newspapers did Nicholas sell on Thursday if he sold a total of 391 in five days?
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given that:
The admission to the fair = $5
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Answers
Answer:
Explained below.
Step-by-step explanation:
(1)
Sample space is a set of all possible outcomes of an experiment.
The sample space in this case is:
S = {HF, HW, MF, MW}
(a)
Compute the value of P (W) as follows:
P (F) + P (W) = 1
P (W) = 1 - P (F)
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P (W) = 0.50
(b)
Compute the value of P (MF) as follows:
P (HF) + P (MF) = P (F)
P (MF) = P (F) - P (HF)
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P (MF) = 0.30
(c)
Compute the value of P (M) as follows:
P (M) = P (MF) + P (MW)
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P (M) = 0.40
Compute the value of P (H) as follows:
P (H) + P (M) = 1
P (H) = 1 - P (M)
P (H) = 1 - 0.40
P (H) = 0.60
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Answers
Does anyone know the answers this is Gina Wilson
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Answer:yes
Step-by-step explanation:
Over the last week, the daily low temperatures in degrees Fahrenheit have been −2, 6.9, 17 1 2 , −5.1, 24, − 1 4 , and 1.45. List these numbers in order from greatest to least.
Answers
Answer:
24 > 17 1/2 > 6.9 > 2 > 1.45 > - 1/4 > - 5.1
Step-by-step explanation:
Given the following temperature values :
2, 6.9, 17 1/2 , −5.1, 24, − 1/4 , and 1.45.
Ordering the values above from greatest to least ; (descending order)
Expressing all temperature values in the same format :
Let's make sure all values are in decimal to make comparison easier :
2.0
6.9
17 1/2 = 35/2 = 17.5
-5.1
24.0
-1/4 = - 0.25
1.45
We begin from the temperature value which is highest :
24 > 17.5 > 6.9 > 2.0 > 1.45 > - 0.25 > - 5.1
Hence ;
24 > 17 1/2 > 6.9 > 2 > 1.45 > - 1/4 > - 5.1