Use the table to answer the following question. What is an equation that describes this relationship?
Answers
The equation that describes the relationship is option A. y = 8 - 7x.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given are the values of x and y.
x : 0 1 2 3
y : 8 1 -6 -13
Equation of a line can be written as y = mx + d in slope intercept form.
m is the slope and d is the intercept along Y axis.
Slope of a line with two points (x, y) and (x', y') is,
Slope = (y' - y) / (x' - x)
Consider the points (0, 8) and (1, 1).
Slope, m = (1 - 8) / (1 - 0) = -7 / 1 = -7
Since we already have the point (0, 8), y intercept, d = 8.
Substituting these, we get the equation of line as,
y = -7x + 8 or
y = 8 - 7x
Hence the equation of the line is y = 8 - 7x.
Learn more about Slope here :
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Related Questions
PLZ HELP AND HURRY
Oliver randomly draws a marble from a bag of colored marbles, and notes its color. He then draws another marble without replacing the first one.
In this experiment, the event of drawing the second marble is dependent on the event of drawing the first marble. What can be changed in this experiment so that these events become independent?
A.
The second marble should be drawn by looking into the bag.
B.
It is not possible to make the second event independent of the first event.
C.
The first marble should be replaced in the bag before drawing the second marble.
D.
A different-colored marble should be added to the bag before drawing the second marble.
Answers
Answer:
If this were my test, i would pick D but since its yours, i thought about this answer, so correct me if i still got this wrong.
Step-by-step explanation:
B) It is not possible to make the second event independent of the first event.
since the event is based off the same action the person made before the similar event.
Answer:
independent
Step-by-step explanation:
help me with this fast
Answers
Answer: delete this please
Answer:
For 60: 120
For 65: 115
For 55: 125
( I mean I could be wrong but thats what I got)
Step-by-step explanation:
enter a fraction)) as you can see i’m from an younger audience, i’m not smart as well- please help me out, i’m new to this as well
Answers
Answer:
1/5
hope it helps
Step-by-step explanation:
we can write it as
x÷ 3/7= 7/15
rest of the explanation in the pics above.
A standard showerhead in Marty's house dispenses 7 gallons of water per minute. Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Marty save each day with the change in showerheads if he uses the shower for 8 minutes each day? 4 gallons 12 gallons 32 gallons 53 gallons
Answers
Answer:
32 gallons
Step-by-step explanation:
A standard showerhead in Marty's house dispenses 7 gallons of water per minute. If he showers for 8 minutes, he uses:
1 minute = 7 gallons
8 minutes = x
x = 7 × 8 minutes = 56 gallons of water
We are told that:
Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x
The equation for the energy saving shower:
y = 3x
Where x is the number of minutes spent in the shower
For 8 minutes
y = 3 × 8
y = 24 gallons
The gallons of water Marty saved each day with the change in showerheads if he uses the shower for 8 minutes each day is calculated as:
56 gallons - 24 gallons
= 32 gallons
Need help ASAP please!
Answers
Answer:29
Step-by-step explanation:
Which graph shows a line with a slope of 2 and a y-intercept of 0?
Answers
Answer:
Its C
Can I please get a Brainlist please thx.
Step-by-step explanation:
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The graph of Option C shows a line with a slope of 2 and a y-intercept of 0.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line has a slope of 2 and the y-intercept is 0.
This means,
The line has to pass through y = 0.
i.e (0, 0)
Now,
We see that,
Options B and C has the y-intercept at y = 0.
Option B.
Two points: (0, 0) and (-1, 2)
Slope = (2 - 0) / (-1 - 0) = 2/-1 = -2
Option C.
Two points: (0, 0) and (1, 2)
Slope = (2 - 0) / (1 - 0) = 2/1 = 2
We see that,
Option C has slope = 2.
Thus,
The graph of Option C shows a line with a slope of 2 and a y-intercept of 0.
Option C is the correct answer.
Learn more about equation of a line here:
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what is the rate of change please help asap
Answers
This weekend, they plan to ride a bicycle with a total mileage of 3 3/4. If they travel 2 1/4 miles and take a break, how many miles will they need to travel?
Answers
Answer:
1 1/2 miles
Step-by-step explanation:
Total mileage needed = 3 3/4 mies
Amount taken = 2 1/4 miles
Amount they still need to travel = Total-amoutnt taken.
Amount they need to travel = 3 3/4 - 2/1/4
Convert to improper fractions
Amount they need to travel = 15/4-9/4
Amount they need to travel= 6/4
Amount they need to travel = 1 2/4
Amount they need to travel= 1 1/2 miles
Caleb read a total of 30 pager over 2 hours. After a total of 3 hours of reading this week, how many pages will Caleb have read in all? Solve using unit rates
Answers
Answer:
45 pages
Step-by-step explanation:
Caleb read a total of 30 pager over 2 hours.
To find the unit rates
2 hours of reading = 30 pages
1 hour of reading = x
Cross Multiply
2× x = 30 × 1
2x = 30
x = 30/1
x = 15 Pages.
Hence, he read 15 pages per hour
After a total of 3 hours of reading this week, how many pages will Caleb have read in all?
If;
1 hour = 15 pages
3 hours = x pages
Cross Multiply
x = 3 × 15 pages
x = 45 pages
Hence, Caleb would have read 45 pages in all
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME THIS IS SO CONFUSING AND I DON'T UNDERSTAND ANYTHING PLZZ HELP!
An expression is given.(first image)
Which are equivalent to the given expression? Select each correct answer. And Explain? (second image)
Answers
Answer:
i got -2y + 3/2 x + 7/4
so I think is d
If a sprinkler waters 1 over 8 of a lawn in 1 over 4 hour, how much time will it take to water the entire lawn?
a
3 over 8 hour
b
1 over 2 hour
c
2 hours
d
4 hours
Answers
1/8 of the lawn in 1/4 of an hour. That mean you would need a whole hour to do 4/8 or 1/2 of the lawn. So you would need two hours to do the whole lawn.
A sandwich shop has 60 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California and how many are in Nevada?
Answers
60x0.6=36 in California
60-36=42 in Nevada
Solve.
8w+5=4(2w+1)
A. W=0
B. No solution
C. W= -1/2
D. Infinity many solutions
Answers
Answer:
B. no solution
Step-by-step explanation:
8w + 5 = 4(2w +1)
8w + 5 = 8w + 4
-8w - 8w
5 = 4
algebra test so please don’t answer unless you know you’re right.
Answers
Answer: I found the perimeter of the rectangle I got: 10x+4
Step-by-step explanation:
what is the number if 50% of 25% of the number is 96
Answers
Answer:
768
Step-by-step explanation:
because 50 percent of the num is 96 you double that and then multiply by four
I am confused on how to do this.
Answers
Help HELP HELP HELP HELP HELP
Answers
Answer:
50 seconds
Solution: It is given that Clare is paid $90 for 5 hours of work. We know that $1 is equal to 100 cents. Hence, it take 50 seconds to earn 25 cents.
In the complex number system, which expression is equivalent to (3 - 5i) - (7 - 81)?
0-4 + 3i
0-19-591
0 10 - 131
0-4 - 131
Answers
- 2 - 5x = -16 for x
Answers
[tex]x = 2 \frac{4}{5} x =2.8[/tex]
Have a good day
It takes 43 facial muscles to frown. This is 26 more muscles than it takes to smile. Write and solve an equation to find the number of muscles it takes to smile. (example: s + 1 = 4)
Answers
Answer:
Number of facial muscles it takes to smile, S = 20
Step-by-step explanation:
Let
Number of facial muscles it takes to smile = S
Number of facial muscles it takes to frown, F = 46
This is 26 more muscles than it takes to smile
F = S + 26
46 = S + 26
Subtract 26 from both sides
46 - 26 = S + 26 - 26
20 = S
S = 20
The number of muscles it takes to smile is 20
A cell phone plan costs `\$200` to start. Then there is a `\$50` charge each month. Let x represent the number of months, let y represent the total cost of the plan. Write an equation to represent this situation.
Answers
Answer:
y=50x+200Step-by-step explanation:
Step one:
given data
cost of plan = $200
monthly charge= $50
let the number of months be x
and the total be y
Step two:
Required
the equation to represent the situation is the same as the straight line equation
y=50x+200
Can anyone help me with H?
Answers
Answer:
13 units
Step-by-step explanation:
It is an equilateral triangle, so all sides have the same length
The engine torque y (in foot-pounds) of one model of car is given by y=−3.75x2+23.2x+38.8, where x is the speed (in thousands of revolutions per minute) of the engine. a. To the nearest ten, what is the engine speed that maximizes torque? revolutions per minute To the nearest hundredth, what is the maximum torque? ft-lbs Question 2
Answers
Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
Finding the median
{12, 9, 10
Answers
Answer:
in this case its 10
Step-by-step explanation:
Finding the media means finding the middle in this case there is 3 numbers u would put them numerical order and count to see which is in the middle.
A 2-column table with 4 rows titled How many text messages do you send a day question mark. Column 1 has entries 0-50, 50-100, 100-150, more than 150. Column 2 has entries 10 percent, 75 percent, 10 percent, 5 percent.
The 4,000 students at Tech High were surveyed about their use of text messaging. How many students said they text 50-100 times a day?
students
Answers
Answer:
3000
Is Your Answer
Answer:
3000
Step-by-step explanation:
The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: What does the point (0, 0) on the graph represent? (4 points) The cost of zero bags of caramel corn The cost of one bag of caramel corn The cost of two bags of caramel corn The cost of three bags of caramel corn
Answers
Answer:
3
Step-by-step explanation:
When you add it up you get 3
Answer:
The answer is A, The cost of zero bags of caramel
Please Help!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
since 6-2=4 i assume that it's the same for 9 which equals 7
this may or may not be wrong
Which expression is equivalent to
1567
A)
5 x 5 x 5 x 5 x 5 x 5
B)
6 x 6 x 6 x 6 x 6 x 6 x 6
C)
6 x 5
D)
5/6
Answers
Answer:
A
Step-by-step explanation:
5*5*5*5*5*5
Answer:
the answer is a
Step-by-step explanation:
Factorise the following: x^2-14x+48
Answers
Answer:
(x-8)(x-6)
Step-by-step explanation:
To factor this, you need the numbers that will multiply together to give you the third number (48 in this case) and add together to give you the second number (-14). -8 * -6 = 48. -8 + -6 = -14
FIRST to answer and get it CORRECT will get brainliest, 13 points , and a thanks:) pls leave an explanation on how u got ur answer if possible :)
Answers
Answer:
Yes, john did make his scale factor the right way, because
Step-by-step explanation:
3 x 2.5 = 7.5, Seen on the right figure/shape/parallelogram
2 x 2.5 = 5, Seen on the right figure/shape/parallelogram
Edit:
Brainliest? :)
Answer:
Yes he did it correctly
Step-by-step explanation:
The scale factor is the number you get after you divide the values of the corresponding sides of both shapesFor this example the 2 side is similar to the 5 side and the 3 side is similar to the 7.5 side. So we make ratios from the first figure to the second figureThat will 2 from the first to 5 five from the second so 2 : 5Then 3 from the first to 7.5 from the second so 3 : 7.5The scale factor must be same for every ratio, or else the transformation is incorrectCheck the ratios, does [tex]2:5=3:7.5[/tex] ?[tex]2:5=\frac{2}{5} =0.4[/tex] [tex]3:7.5=\frac{3}{7.5} =0.4[/tex] yes, so it is a correct transformation