Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answers
Answer:
y = (7/4)x - 3/4
Step-by-step explanation:
I'll assume that two points taken from your table are (-3, -6) and (1, 1).
As we move from the first to the second, x increases by 4 units ("run") and y increases by 7 units ("rise"). Thus the slope of the line connecting these two points is m = rise / run = 7/4.
Let's begin with the familiar y = mx + b. Substituting 1 for x and 1 for y and 7/4 for m, we get:
1 = (7/4)(1) + b, or 1 - 7/4 = b, or b = -3/4.
Then the desired equation, in slope-intercept form, is
y = (7/4)x - 3/4
Related Questions
order the values from least to greatest |-16|, 10, |25|, -16, |-43|
Answers
Answer:
-16, 10, 16, 25, 43
Step-by-step explanation
when you have something in absolute value bars it's always going to be positive so you would make -16 regular 16; and 10 stays 10; 25 stays 25; -16 stays - 16; and then -43 turns into regular 43
Answer:
-16, 10, 16, 25, 43
Step-by-step explanation:
If it has the bars around it and its a negative number it turns into a posotive
Which expression is equivalent to one third times the quantity 2 times x plus 12 end quantity minus 14 over 15 times x?
A - one and three fifths times x plus four
B - four fifteenths times x minus 4
C - negative four fifteenths times x minus four
D - negative 4 over fifteen times x plus four
Answers
Answer:
2.8666667
Step-by-step explanation:
The statement one-third times the quantity 2 times x plus 12 end quantity minus 14 over 15 times x is negative three fifth times x plus twelve.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given statement is one-third times the quantity 2 times x plus 12 end quantity minus 14 over 15 times x.
This statement can be numerically expressed as,
(1/3)x + 12 - (14/15)x.
= ((5 - 14)/15)x + 12.
= - (9/15)x + 12.
= - (3/5)x + 12.
So, It is negative three fifth times x plus twelve.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Kenny bought a 50-pound bag of chicken feed for $29.98 and a 25-pound bag for $15.49. Can you use proportional reasoning to find the price of a 40-pound bag? Explain.
Yes; The ratio of pounds to cost is equivalent.
Yes; The unit rates are the same.
Yes; The line containing these two points passes through the origin.
No; There is no constant of proportionality.
Answers
Answer:
No; There is no constant of proportionality.
Step-by-step explanation:
29.98 divided by 50 is 0.5996 and 15.49 divided by 25 is 0.6196. They are not proportional nor are they equal. There is a difference of 0.02.
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
how does factoring relate to determining whether expressions are equivalent?
Answers
Answer:
Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
How does the circulatory system work at the tissue level?
The heart pumps the blood.
Cardiac muscle contracts.
Blood cells carry nutrients.
Nutrients are delivered throughout the body.
Answers
i need help on this one
Answers
Answer:
250.8 \(m^{2}\) (hot-air balloon)
Step-by-step explanation:
Hope this helps!
Sorry if its wrong.
Hai! I need you guys again! Find the Volume of this object... Thank you!!♡ ＼(´ ∇`)ノ
Answers
(6/11+2/11)x 3/7 = ?
Answers
Answer:
answer in the pic
Step-by-step explanation:
if u just wanted calculated answer then-0.31168831168
Answer:
16/77 Decimal form- 0.207792
Step-by-step explanation:
Enter the value that will make the equation true.
15 ÷ = 5
Answers
Answer:
3
Step-by-step explanation:
15/3 is 5 lol common sense...
Answer:
3..............,
.
......
Mio is on the running team. She runs 4 laps in 6 minutes.
At this rate, how long will it take for her to run 15 laps? ____ minutes
Answers
1 lap : 1 mins 30
15 laps : 22 mins 30
If the room has a square area of 16 square meters and the rug is placed in the middle of the room, how much space would there be between each side of the rug and the wall?
Answers
Answer
the space would unknow between each side of the rug and the wall
Step-by-step explanation:
because we don't know how big the room is and what the shape of the room is we have no idea what the answer will be it could be a little less than the distance around the world or it could be no distance cause it is the same size as the room
(also the rug is in the middle of the the room)
Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
Answers
What’s j+12=25 tape diagram
Answers
An equation is a mathematical statement that shows two mathematical expressions equal.
An equation consists a variable that does not have a fixed value to it.
Given,
j+12=25
Here ‘j’ is the variable.
To find ‘j’ we just need to 12 from 25.
So, 25 - 12 = 13
Hence, now we know that ‘j’ is equal to 13.
Proof :
13 + 12 = 25
Learn more about Equations here
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Hope my answer helps you✌️
Mark BRAINLIEST
Part I: Making the Race
Henri is Emile's younger brother and they are having a walking race. Emile can walk 2.5 meters per second whereas Henri walks 1 meter per second. Because Emile is faster, they give Henri a 45 meter head start. Emile knows Henri would enjoy winning the race, but they do not want to make the race so short that it is obvious Emile let Henri win.
1. How long should the race be so that Henri will win in a close race?
2. Describe or show your strategy on how you came up with your answer for #1.
Answers
Answer:
Step-by-step explanation:
To make the race close, the length of the race should be 450 meters.
Here's the reasoning behind the answer:
Let's first calculate how long it would take for Emile to catch up to Henri, assuming Henri starts 45 meters ahead.
The time it takes Emile to cover the same 45-meter distance is 45/2.5 = 18 seconds.
During this time, Henri would have walked a distance of 1 x 18 = 18 meters.
So, after 18 seconds, Emile will have caught up to Henri and will be 27 meters ahead of him (45 - 18 = 27).
To make the race close, we want Henri to finish just a split second before Emile. So, we can assume that Henri will finish the race just as Emile catches up to him.
Let's call the total distance of the race "d."
So, Henri will walk d meters, while Emile will walk d + 27 meters (the 27 meters is the distance Emile has to walk after catching up to Henri).
We can set up an equation to solve for d:
d/1 = (d + 27)/2.5
Solving for d, we get:
d = 450
So, the race should be 450 meters long for Henri to win in a close race.
Solve and explain each?
Answers
Answer:
Sum = 4(2) + 5(1) + 6(2) + 7(0) + 8(2) + 9(1)
= 8 + 5 + 12 + 0 + 16 + 9
= 50
Mean = Sum/Frequency
= 50/8
= 6.25 rings
Answer:
Sum: 50Mean: 6.25Step-by-step explanation:
You want the Sum and Mean of the number of rings as listed in the given table.
FrequencyThe "frequency" line tells you the number of times the value above is included in the list. The expanded list of number of rings, taking frequency into account, is ...
{4, 4, 5, 6, 6, 8, 8, 9}
The sum of these numbers is 50.
The average of these 8 numbers is 50/8 = 6.25.
Sum: 50Mean: 6.25<95141404393>
Alexis ordered an ice cream cake from Molly Moo Creamery. The box that it was packed in was a rectangular prism. The dimensions of the box are shown in the diagram.
What is the total surface area of the box of in square inches?
Answers
Find the surface area of the cylinder below. *
Answers
Answer:
153
Step-by-step explanation:
Henry divided his socks into five groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s=20?
A. S/5; when s=20, the number of socks in each group is 4.
B. S/5; when s=20, the number of socks in each group is 15.
C. S-5; when s=20, the number of socks in each group is 4.
D. s-5; when s=20, the number of socks in each group is 15.
Pls help
Answers
Answer:
A
Step-by-step explanation:
If Henry has 20 socks and he split them into a group of 5, he would have 4 socks in each group. To solve this equation you must divide the number of socks by the number of groups. Once you do this, you will get the number of socks in each group.
Answer:
a
Step-by-step explanation:
Pls help me to find the median and mode, with solution pls
Answers
Answer:
Mode=32
Mean=32
Median=32
Step-by-step explanation:
Mode=highest frequency
Mode=10
Mean=£fx
£f
Mean=1280
40
=32
Median=n/2
=40/2
=20
median=32
Median-32
Hope this helpsssss
what is 9/12 simplefied.
Answers
Answer:
9/12 simplified is 3/4.
Step-by-step explanation:
Since 3 can go into 9 three times and into 12 four times, 9/12 simplified is 3/4.
I hope this helps you :D
12 divide by 3 is 4
(2x-10)(x+3)+(x3+1)(x-4) what does it equal to
Answers
Answer:
Step-by-step explanation:
Use FOIL method.
(2x - 10)(x + 3) = 2x*x + 2x*3 + (-10)*x + (-10)*3
= 2x² + 6x - 10x - 30 {Combine like terms}
= 2x² - 4x - 30
(x³ + 1)(x - 4) = x³*x + x³ *(-4) + 1*x + 1*(-4)
= x⁴ - 4x³ + x - 4
(2x - 10)(x +3) +(x³ +1)(x - 4) = 2x² - 4x - 30 + x⁴ - 4x³ + x - 4
Combine like term
= x⁴ - 4x³ + 2x² - 4x + x -30 - 4
= x⁴ - 4x³ + 2x² - 3x - 34
Answer:
Use the FOIL method.
(2x - 10)(x + 3) = 2x*x + 2x*3 + (-10)*x + (-10)*3
= 2x² + 6x - 10x - 30 {Combine like terms}
= 2x² - 4x - 30
(x³ + 1)(x - 4) = x³*x + x³ *(-4) + 1*x + 1*(-4)
= x⁴ - 4x³ + x - 4
(2x - 10)(x +3) +(x³ +1)(x - 4) = 2x² - 4x - 30 + x⁴ - 4x³ + x - 4
Combine like term
= x⁴ - 4x³ + 2x² - 4x + x -30 - 4
= x⁴ - 4x³ + 2x² - 3x - 34
Step-by-step explanation:
por nada!!!
Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?
Answers
Answer:
Step-by-step explanation:
form. Meaning you need make both fractions improper
Find the perimeter of this shape.
Answers
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
Complete each sentence to describe the algebraic expression 9 + y.
The variable in the expression is __.
The operation in the expression is__.
The constant in the expression is __.
Answers:
x, y, 9, and +
Answers
Answer:
The variable is y.
The operation is +
The constant is 9.
Answer:
i know somebody already helped but
The variable in the expression is y.
The operation in the expression is +.
The constant in the expression is 9.
Step-by-step explanation:
hope it helpssss
I need some one who is rlly good at math ;-;
Answers
5(2/5) / (5/8)
(10/5) / (5/8)
2 / (5/8)
When dividing fractions, we use keep change flip. Keep 2, change to multiplication, and flip 5/8. This then becomes:
2 * (8/5)
Multiply 8 by 2
16/5
3 1/5 mixed number
Either Table A or Table B shows a proportional relationship.
Plot all the points from the table that shows a proportional relationship.
Table A
x 1 2 3 4
y 2 4 6 8
Table B
x 2 4 6 8
y 4 6 8 10
Answers
Answer:
TABLE A......:...............
Answer:
This graph shows all the points plotted from Table A, which shows a proportional relationship.
How is a coordinate grid a useful way to describe exactly where an object is?
Answers
Answer:
because you can show the exact points an object is at
Step-by-step explanation:
For example: A car goes x many miles in y minutes. You can easily see how many miles the car goes in y minutes.
Hope this helps!
please please help me
Answers
Answer:
a)7 cakes=£5.6
b)£2=4 drinks
c)£7.7
Step-by-step explanation:
a)5cakes=£4
1 cake=4/5=£0.8
7 cakes=£5.6
b)1 cake=3/6=£0.5
£2=4 drinks
c)(0.8×4)+(0.5×7)=£7.7
4
7.7
Those are your answers
Please help me with these 2 questions!
Answers
Answer:
For the 1st equation y=19x+19b, the answer is b=-x+1/19y.
The 2nd equation 7p+5c=p, the answer is c= -6/5p.
Hope it helps.
Step-by-step explanation:
Answer:
b
Step-by-step explanation: