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:
Related Questions
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?
Define a variable, write an equation, then solve.
Answers
Answer:
75
Step-by-step explanation:
86+79+68+83=316
391-316=75
Answer:
75 newspapers
Step-by-step explanation:
391 is equal to the combination of all the newspapers Nicholas sold over those 5 days. This can be written as an equation:
391 = 86 + 79 + 68 + 83 + x
x represents the number of newspapers Nicholas sold on Thursday.
Now let's solve for x:
First, combine like terms:
391 = 316 + x
now subtract 316 from both sides to isolate x:
391 - 316 = 316 - 316 + x
75 = x
Nicholas sold 75 newspapers on Thursday.
Write an equation for this $13 more than twice the cost of a video game is $67. Find the cost of the video game.
Answers
Answer:
13+2x=67 soooooo x = 27 so the video game is $27 and thats the equation
Step-by-step explanation:
what is the vaule 7 to the 6 power
Answers
Answer:
117,649
Step-by-step explanation:
Good luck! <3
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:
The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).
Thus, we can answer what is 7 to the 6th power as
7 to the power of 6 = 76 = 117649.
What is the mean of the data 25, 27, 24, 26, 40 and what is the median
Answers
Answer:
mean is = 28.4
median is = 26
Step-by-step explanation:
mean- average
( 25+ 27+ 24+ 26+ 40 )/5 = 28.4
median- middle
25, 27, 24, 26, 40
{ rearrange }
24, 25, 26, 27, 40
the middle number is 26
what does this even mean
Answers
Answer:
it means hide under your bed and stay thier. math scary
Step-by-step explanation:
Step-by-step explanation:
2x-7y=0 thats what the answer is
Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is $.50. Write and solve a linear equation to find out how many rides he can go on.
Answers
Answer:
Evan can go on 30 rides (based on the assumption that Evan's parent gave him $20)
Step-by-step explanation:
Given that:
The admission to the fair = $5
The cost per ride = $0.50
Let assume that the number of ride Evan can go = x
So if The cost per ride = $0.50
x ride = $0.50x
We are not told that he is given money by anybody, but let assume his parent gave him $20,
Then, if Evan pays $5 for admission into the fair. Then he will have $(20-5) = $15 left
The relation expressing how many rides Evan can go is:
0.5x = 15
Since the cost per ride = $0.5
x rides cost $15/0.5
x = 15/0.5
x = 30
Hence, Evan can go on 30 rides
Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees. Write an integer to represent the change in temperature.
Answers
Answer:
c + 6 degrees= x
Step-by-step explanation:
i need the answer asap i’ll make you the brainliest
Answers
Answer
the second one
Determine the annual rate of change.
Answers
Answer:
13
Step-by-step explanation:
Subtract 150 - 72 = 78
Divide the answer by 6 : 78/6
(6 being the years in between)
You get 13!
In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?
Answers
Factor completely 4x5 − 20x4 − 36x3.
4(x5 − 5x4 − 9x3)
x3(4x2 − 20x − 36)
x2 − 5x − 9
4x3(x2 − 5x − 9)
Answers
Answer:
THE OTHER PERSON IS WRONG IT IS D/4x3(x2 − 5x − 9)
! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !
Step-by-step explanation:
Please Help me. Thanks
Answers
I hope this helps!
ABC = DEF. Find the measure of the given angles.
A=×+19
D=2x
x =
Answers
please tell me the answer
Answers
Answer:
It shifts leftI hope this helps you with your algebra
NEED HELP NOW. WILL GIVE BRAINLIEST
Answers
Answer: y = -2x² + 920x - 84168
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:
126².a + 126b + c = 0
134².a + 134b + c = 3200
334². a + 334b + c = 0
⇒ a = -2
b = 920
c = -84168
=> the equation of the parabola is y = -2x² + 920x - 84168
Step-by-step explanation:
Answer:
yea listen to the other person
Step-by-step explanation:
There are two types of cellular phones, handheld phones (H)that you carry and monile phones (M) that are mounted invehicles. Phone calls can be classified by the travelingspeed of the user as fast (F) or slow (W). The probabilitymodel for this experiment has the following information: P[F] =0.5, P[HF] = 0.2, P[MW] = 0.1. What is the sample space ofthe experiment? Calculate the followng probabilites:a) P[W]b) P[MF]c) P[H]
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)
P (W) = 1 - 0.50
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)
P (MF) = 0.50 - 0.20
P (MF) = 0.30
(c)
Compute the value of P (M) as follows:
P (M) = P (MF) + P (MW)
P (M) = 0.30 + 0.10
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
four ninths plus nine eighteenths :]
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.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer: its 17/18
Step-by-step explanation:
hope it help's ヾ(•ω•`)o
Is this a negative or positive?
Answers
Answer:
Positive.
Step-by-step explanation:
Two negative numbers multiplied is a positive number.
FYI, (-5)(-4) is 20.
Hope this helped!
Answer:
positive
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
Please help me I know it’s not a or b so c or b!! Thanks!
Answers
Answer:
c
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz now. I know my ABC's next tim won't you sing with me!!!!!!!
Answer:
C
Step-by-step explanation:
the x is in the middle, when it has a large mouth with a line below it means that it is greater than or equal to. When it has the peak it means that it is smaller.
HELP Please!!!!!!! Asap
Answers
Answer:
bottom right is correct
Step-by-step explanation:
What postulate is this SSS, ASA, AAS, or SAS? Will give brainliest to the correct answer, no trolls!!!
Answers
Answer:
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Step-by-step explanation:
How do I solve? How do I solve? How do I solve?
Answers
Answer: yes
Step-by-step explanation:
Answer:
Yes, he has enough money to get his things.
Step-by-step explanation:
3 (the amount of grass seed bags he's buying) x 23 (how many dollars it costs) = 69
3 (the amount of flower pots he's buying) x 15 (how many dollars it costs) = 45
69 + 45 = 114
He will have $6 left over his purchases.
PLEASE ANSWER!
Rashida played a trivia game. each correct answer is worth 2 1/4 points, and each incorrect answer is worth -1/2 points. If Rashida got 18 correct answers and 12 incorrect answers, what is her final score?
Answers
Answer:
34.5
Step-by-step explanation:
Trust me
What’s the answers? ,,
Answers
Please help
Show work if you can
Thank you!
Answers
Answer:
y= -1/2 + 2
Step-by-step explanation:
To find m or the slope you need to find 2 locations that the line intercepts a point on the graph. I used (0,2) and (2,1).
Then you find the difference of the x and y coordinates. (x,y)
X-coordinates: 0 and 2. 0 - 2 = -2
Y-coordinates: 2 and 1. 2 - 1 = 1
A slope fraction is the difference of y over the difference of x coordinates. It would be written as 1/-2 or -1/2. m= -1/2
To find the b value, just look at the y-intercept or where the line intercepts the y-axis. Which is at (0,2). So b=2
pls help!!
A chest was resting on the ocean floor 500
feet below the surface. It was lifted to the deck of a ship 16 feet above the surface. How far was the chest lifted?
I need you to :
Define the variable
Write the equation
& The solution.
Answers
Answer:
I don't know about the variable but I believe that the equation is -500+516=16 and the solution is 16
Step-by-step explanation:
Does anyone know the answers this is Gina Wilson
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Answer:yes
Step-by-step explanation:
u=k
/a , for a
i need help on finding a in that question
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Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
Whoever answers this I will mark you Brainliest or else I’ll report you
Answers
Answer:
Uhh ok
Step-by-step explanation:
Answer:
yea
Step-by-step explanation:
ok the answer is ok