The table below represents a linear function f(x) and the equation represents a function g(x):
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answers
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
Related Questions
Eric conducted a survey of the cars in four parking lots and wrote the following observations:
15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue
Based on the survey, which parking lot had the greatest percentage of blue cars?
explain your answer
Answers
Answer:
Lot 4 since 61.5% is the highest percentage of blue cars of all lots.
Step-by-step explanation:
Find the percentage that each number of blue cars is in its parking lot.
percent = part/whole * 100%
15 of the 36 cars in lot 1 were blue
15/36 * 100% = 41.667%
43 of the 92 cars in lot 2 were blue
43/92 * 100% = 46.739%
12 of the 30 cars in lot 3 were blue
12/30 * 100% = 40%
32 of the 52 cars in lot 4 were blue
32/52 * 100% = 61.538%
Answer: Lot 4 since 61.5% is the highest percentage of blue cars of all lots.
Answer:
Parking Lot 4
Step-by-step explanation:
15÷36 x 100 = 41.666%
43÷ 92 x 100 = 46.739%
12 ÷ 30 x 100 = 40%
32÷ 52 x 100 = 61%
61% is the largest percentage out of all of them, therefore Parking Lot 4 ( 32 out the 52 cars) is the Parking Lot that has the greatest percentage of blue cars!
CAN I PLEASE BE BRAINLIST?
Given the parallelogram below, find the value of angle 1
Answers
Find the value of the expression.
z + y2
for y = 6 and z = 1
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Answer:
If this is the question then tis is the answer. Thank you. Hope I was of help.
i like yo cut g'slol
Answers
Find the midpoint of segment PQ.
Answers
Answer:
[tex](2,0)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find endpoints from graph.
Point P (-4, 6)
Point Q (8, -6)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint .
Substitute [MF]: [tex](\frac{-4+8}{2},\frac{6-6}{2})[/tex]Add/Subtract: [tex](\frac{4}{2},\frac{0}{2})[/tex]Divide: [tex](2,0)[/tex]BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?
Answers
Answer:
i would go for a but im not really sure. sorry if incorrect
Step-by-step explanation:
please help me ASAP ε=ε=ᕕ(°□°)ᕗ
Answers
Step-by-step explanation:
24cm³ = 0.024dm³
Moles of CO2 = 0.024dm³ / (24dm³/mol) = 0.001mol
Hence 0.001mol of XCO3 is required.
please help!!!!!!!!!
Answers
Answer:
Using only dilation
Step-by-step explanation:
This is because dilation is to make bigger or smaller.
Answer:
c
Step-by-step explanation:
dilation is when you shrink the square, but maintain similarity between the four side lengths. Theoretically, you can shrink square EFGH to the size of ABCD
the length of the bos is 2 1/2m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4m^3
Answers
Answer:
h=1.3056 m
Step-by-step explanation:
L=2.5m
w=L(1 + 9/16)
w=2.5(1 + 9/16)=[tex]\frac{125}{32}[/tex] m=3 [tex]\frac{29}{32}[/tex]m
v=Lwh
12.75m³=(2.5m)([tex]\frac{125}{32}[/tex]m)h
12.75m³=(9.765625m²)h
[tex]\frac{12.75m^{3} }{9.765625m^{2} }[/tex]=h
h=1.3056 m
Answer:
3 3/16
Step-by-step explanation:
If:
Length= 2 1/2
Width=2 1/2 divided by 1 9/16= 1 3/5
Volume=12 3/4
So then, 2 1/2 times 1 3/5=4
12 3/4 divided by 4= 3 3/16
Done!
Em um show foram 150 mil pessoas. Sendo 1/4 de pessoas estavam no camarote rosa, 1/5 no camarote lilas, 2/5 no camarote Amarelo, e 15% na pista. Qual foi o local que obteve maior número de pessoas? * 1 ponto a) Camarote Rosa b) Camarote Lilas c) Camarote Amarelo d) Pista
Answers
Responda:
camarote Amarelo
Explicação passo a passo:
Dado que:
Número total de pessoas = 150.000
Caixa rosa: 1/4 * 150.000 = 37.500
Caixa Lilax: 1/5 * 150.000 = 30.000
Caixa amarela: 2/5 * 150.000 = 60.000
Faixa = 0,15 * 150.000 = 22.500
Portanto, a caixa amarela tem mais gente
HELP PLEASE!!!!
Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.
Answers
-9 is the answer
your welcome
There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
Answers
Answer:
12 Men
Step-by-step explanation:
Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D
Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.
Yeah my math class is coocoo, and im stuck on this. Im slow. Help me :(
Answers
Answer:
y=4x+4
Step-by-step explanation:
i was learning this not too long ago so i hope this helps y=mx+b aka slope is 4 and then for b you put the y intercept aka 4 and then the x and y factors you csn leave blank cause you dont have them
An equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.
The coordinates from the line on the graph is (-3, 4) and (3, 2).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Now, slope =(2-4)/(3+3)
= -2/6
= -1/3
Substitute m=-1/3 and (x, y)=(-3, 4) in y=mx+c, we get
4=-1/3 (-3)+c
⇒ c=3
The slope of a line perpendicular to given line is m1=-1/m2
So, slope =3
An equation of the line that passes through (-1,4)
Now, 4=3(-1)+c
c=7
Put m=3 and c=7 in y=mx+c, we get
y=3x+7
Therefore, an equation of the line that passes through (-1,4) and is perpendicular to the line given in the graph is y=3x+7.
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There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up
Answers
Answer:
2 rows of 41
Step-by-step explanation:
i had the same question
The number of possible ways can the chairs be lined up is 2 rows of 41.
Given that,
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.Based on the above information, the calculation is as follows:
[tex]= 2 \times 41[/tex]
= 82 chairs
Here 2 denotes the rows.
Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.
Learn more: brainly.com/question/13549064
Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proportionality).
y =25x, a = 5x + 5, m = 105.25n
Answers
Answer:
y = 25·x shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship
m = 105.25·n shows a proportional relationship
Step-by-step explanation:
An equation that shows a proportional relationship is of the form, y = kx
Where;
k = The constant of proportionality = y/x
Therefore, the equation, y = 25·x shows a proportional relationship
The constant of proportionality = k = y/x = 25
Similarly, the equation m = 105.25·n shows a proportional relationship
The constant of proportionality = k = m/n = 105.25
When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship
The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.
Therefore;
y = 25·x shows a proportional relationship
m = 105.25·n shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship.
The following cards are used in a game.If each of the cards is turned over and shuffled
Answers
Answer:
than that means the cards are not turned over
im sorry i didnt really get you question
Step-by-step explanation:
There is 1/2 of a greater chance in drawing a spade over drawing a 7
How to determine the probability?From the complete question added as an attachment, we have the following parameters:
n(Spade) = 4n(7) = 1Total = 6The probability of getting a spade is:
P(Spade) = 4/6
The probability of getting a 7 is:
P(7) = 1/6
The difference between both probabilities is:
Difference = 4/6 - 1/6
Evaluate
Difference = 3/6
Simplify
Difference = 1/2
Hence, there is 1/2 of a greater chance in drawing a spade over drawing a 7
Note that the question is incomplete, and the missing part of the question can be found online
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Please help I really need it!! A student found out that 8% of the students in his school are left-handed.If there are 114 lefties, how many students are in his school?
Answers
Answer:
x = 1425
Step-by-step explanation:
Given that,
A student found out that 8% of the students in his school are left-handed.
Total no of lefties = 114
We need to find the total number of students in the school. Let they are be x.
ATQ,
8% of x = 114
[tex]\dfrac{8x}{100}=114\\\\x=\dfrac{114\times 100}{8}\\\\=1425[/tex]
Hence, there are 1425 students in the school.
Need help
Question in the screenshot below
NO spam
Please show your work
Answers
======================================================
Work Shown:
[tex]\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\[/tex]
[tex]x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\[/tex]
Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out
x = 6 works as a solution however
Find the next three terms:
5, 8, 11, 14...
Answers
Answer:
next 3 terms are 17,20,23
Step-by-step explanation:
to get from 5 to 8 you add 3
14+3=17
17+3=20
20+3=23
Answer:
17, 20, 23
Step-by-step explanation:
The pattern is that 3 is added every time.
5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14.
That means that the next terms will be
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
Just read and answer me
Answers
Answer:
the picture isnt showing up on mines
You are traveling down a highway averaging 55 mph. How far would you have traveled after 3 hours and 30 minutes? (Round your answer to the nearest mile)
Answers
Answer:
193 miles
Step-by-step explanation:
55 x 3.5 = 192.5 round up to 193
Answer:
193 miles I think
Step-by-step explanation:
Hope this helped have an amazing day!
In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. Radio stations in the western United States were given call signs starting with K. Stations in the east were given call signs starting with W. For example, the radio station with the call sign ABC is KABC in California, and WABC in Georgia.
a. How many different three-letter call signs are there?
Hint: don’t worry about the K or W – just find the number of ways to arrange any 3 letters
b. How many different three-letter call signs are there where the first letter is a D?
Hint: again, the K and W don’t matter
c. In a random selection of radio station call signs, what is the probability of selecting a radio station with a call sign that starts with the letter D?
Answers
Answer:
A would make sense
Step-by-step explanation:
teddy is skiing down a hill from the top to the bottom. the distance from the top of the hill to the bottom is 565 yards. how far will he have to ski before he reaches the midpoint of the hill
Answers
Answer:
282.5 yards.
Step-by-step explanation:
565 divided by 2 is 282.5.
(Sigma)20 4(8/9)^n-1=?
1
Answers
Convert to a simplified fraction.
20 amgiS ⋅ 9n / 2^2+3n − 9^n
Move 20 to the left of Sigma.
20 Sigma
What is the vertex for the graph shown below?
a. (0,0)
b. v=1
c. v=5
d. (5,1)
Answers
Answer:
D. (5,1)
Step-by-step explanation:
The vertex of the graph is V ( 5 , 1 ).
Given data:
The vertex of a function is a point on the graph where the function reaches its highest or lowest point, depending on whether the function is concave up or concave down.
The vertex represents the minimum or maximum point of the function and provides information about the axis of symmetry of the graph. If the function opens upward (concave up), the vertex is the lowest point (minimum).
So, the highest point in the graph where the function reaches the minimum value is when x = 5
So, the value of y = 1
Hence , the vertex is V ( 5 , 1 ).
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Please help. For those that help, thank you and have a good day!
Answers
Answer:
1) A
2)C
3)B
4)D
Step-by-step explanation:
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FOLLOW MY INSTAGRM exotic.jaliyah FOR A FOLOW BACK
Answers
Step-by-step explanation
ee
Answer:
No thanks
Step-by-step explanation:
6. Michelle orders cupcakes that come in a carboard box. The box has the dimensions shown. What is the perimeter of the base? b. What is the height of the box? What is the area of the base
9in,10in,11in
Answers
iogmkiuAnswer:
Step-by-step explanation:
gjkih
Based on this model, a school with a 53% chance of winning their first game would have what rank? Round your answer to the nearest whole number.
Answers
Answer:
8
Step-by-step explanation:
50 is at rank 8.5, but since its a 53% chance. it would be below the .5 area and round to 8
Given the equation: y=2x-5 , is your y-intercept below or
above the x-axis?
Answers
Answer:
Below
Step-by-step explanation:
The equation for slopes are y=mx+b. m = slope, and b = y-intercept.
Since b is negative the y-intercept will be below the x-axis.