FIND THE equation of the linear function represented by the table below in slope intercept form
Answers
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute these points into this formula to find the slope of this linear function.
[tex]\displaystyle m= \frac{-5-(-3)}{2-1}[/tex]Simplify and solve for the slope m.
[tex]\displaystyle m=\frac{-2}{1} =-2[/tex]The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = -2 and the point (1, -3) into this equation.
[tex]y-(-3)=-2(x-1)[/tex]Simplify this equation and put it into slope-intercept form: [tex]y=mx+b[/tex].
[tex]y+3=-2x+2[/tex] [tex]y=-2x-1[/tex]The equation of the linear function represented by the table is y = -2x - 1.
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
Substitute these points into this formula to find the slope of this linear function.
Simplify and solve for the slope m.
The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
Substitute m = -2 and the point (1, -3) into this equation.
Simplify this equation and put it into slope-intercept form: .
The equation of the linear function represented by the table is y = -2x - 1.
Related Questions
help! i'll give out a brainliest! just middle school level. <3!
Answers
Answer:3
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
Please help I’ll give brainliest
Answers
Answer:
$3.29
Step-by-step explanation:
You need to find the unit price by dividing the cost by the amount.
24.33/7.4 = 3.29
Therefore, one pound of ham is $3.29.
Answer:
1. $3.29
2. $4.60
Step-by-step explanation:
I don’t know if it’s true or false
Answers
Answer:
false
Step-by-step explanation:
ur teacher is dum
Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems each day for 36 days, which best describes the number of problems that he needs to do each day?
Answers
Answer: 8/9 questions
Step-by-step explanation: 312/36= 8.6...
The answer depends on if you want to round up or down.
Pls help me urgent pls
Answers
Answer:
You can use distance formula,
i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )
where u take first point as x sub1 and x sub2
and,
take second point as y sub1 and y sub2
where,
sub = subscript
Try for urselves and let me know
Hope it helps
Hope it helps ALL THE BEST !!
The value of(-2 )-5
please help
Answers
Answer: The answer is B.
Step-by-step explanation:
Just multiply -2 five times.
-2 * -2 * -2 * -2 * -2
-2*-2 = 4
-2*-2 * -2 = -8
4 * -8
= -32
decimal form: .03125
Answer: I think the answer is B.
Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sales that are greater than $750 each week. Melissa earned $37.50 in commissions last week.
Which equations correctly calculate how much money in dollars, x, Melissa made in sales last week?
Select all that apply.
0.02(750)+0.03(750−x)=37.5
0.03(x−750)=37.5−15
15+0.03x−22.5=37.5
0.02(750)+0.03(x−750)=37.5
15−0.03x+22.5=37.5
0.03(750−x)=37.5−15
Answers
The equations that are correct are:
0.02(750) + 0.03(x - 750) = 37.5
0.03(750 - x) = 37.5 - 15
Given:
Melissa earns a 2% commission on the first $750 of sales.
She earns a 3% commission on greater than $750 each week.
1. Sales up to $750:
Melissa earns a 2% commission on the first $750 of sales.
=0.02(750)
= 15
2. Sales exceeding $750:
Melissa earns a 3% commission on the amount of sales that exceed $750.
0.03(x - 750) = 37.5 - 15
Combining both equations, we have:
0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15
15 + 0.03x - 22.5 = 37.5
0.03x - 7.5 = 37.5
Adding 7.5 to both sides
0.03x = 45
Dividing both sides by 0.03
x = 1500
Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:
Equation 1: 0.02(750) + 0.03(x - 750) = 37.5
Equation 2: 0.03(750 - x) = 37.5 - 15
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In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Answers
Answer:
7 refills
Step-by-step explanation:
Answer:
So I'm guessing the original price was 8.95 and each refill was 1.50.
8.95 + 1.50r = 37.45
r = 19
You got 19 refills
Can someone help me with this
Answers
Answer:
use distance formula
Step-by-step explanation:
enter each set of points into distance formula, find distance then sum all sides
Need to find X, and angle DAB.
Can you guys help me??
Answers
Step-by-step explanation:
^bac = ^dac3x + 12° = 5x12° = 5x - 3x12° = 2x6° = xMARK ME AS BRAINLIST PLZ FOLLOW MEfind the Measure of side C
Answers
Answer:
40
Step-by-step explanation:
26/sin(40 degrees) = 40.4488
Can Somebody SOLVE THIS!!!
Answers
Answer:
C
Step-by-step explanation:
Substitute t = 5.5 into h(t) , that is
h(5.5) = - 16(5.5)² + 128(5.5) = - 484 + 704 = 220 ft → C
Someone please help ASAP
Answers
Answer:
x=16[tex]\sqrt{\\2\\}[/tex]
y= 16
Step-by-step explanation:
Since we know that this is a right triangle, all sides must add up to 180°. This means that our unknown angle is 45°. With two 45° angles, we know that side y must be 16 (the same as the other corresponding angle). Once we know both legs, we can use Pythagorean Theorem to determine that the hypotenuse, or side x is =16[tex]\sqrt{2}[/tex]
Jennifer has one more nickel than she has dimes. If she has $1.25 how many of each type of coin does she have? (HELP IS APPRECIATED)
Answers
Answer:
She has 9 nickels, and 8 dimes.
Step-by-step explanation:
We know that she has a total of $1.25. We know that a nickel is $0.05, and that a dime is $0.10.
9x$0.05=$0.45
8x$0.10=$0.80
Answer:
9 nickels
8 dimes
Step-by-step explanation:
.05(n + 1) + .10n = 1.25
.05n + .05 + .10n = 1.25
.15n = 1.20
n = 1.2 / .15
n = 8
but there are 9 nickels because there is "one more nickel than dimes"
PLEASE HELP!!!! I HAVE YOU ALL MY POINTS AND AM ON TIMED ASSESMENT!!!!!! I WILL NAME YOU BRAINLIEST AND SUGGEST TO ALL MY FRIENDS TO SAY THANKS AND SAY YOU WERE BRANLIEST!!!!
The amount Lin’s sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. Express fractions in the form a/b if necessary.
a. Complete the equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.
y =
x
b. Is y a function of x? Type yes or no.
c. Complete the equation describing x as a function of y.
x =
y
Answers
y is a function of x, because for each input x there is only one output y. (It doesn't work backwards. x is not a function of y. not sure if you needed that but there it is!)
The equation would be
y=9.60x
where y is the amount Lin's sister earns and x is the amount of hours she works
i think this is correct pls mark brainliest
A sketch of a rectangular patio is shown below. A concrete triangular section is planned for an outdoor fireplace. What is the area of the concrete section, in square units? A rectangle has a width of 69. A segment is drawn from the top left corner down to a point on the bottom side, creating a right triangle. The segment, which is the hypotenuse of the triangle, is 115 units long. From the segment to the bottom left corner is 100 units. A. 517.5 square units B. 1,587 square units C. 3,174 square units D. 7,935 square units
Answers
Answer:
3,174
Step-by-step explanation:
Answer: 3,174
Step-by-step explanation:
115^2-69^2= sqrt8464=92
100+92=whole leg=192
192*69=13248= whole area
69*92=6348
6348/2
=3174
Equilateral triangles are acute triangles. fill in the blank. A. Equilateral triangles are sometimes acute triangles, Always acute Triagles or never
Answers
Answer:
always acute angle.as each angle is 60°
143=n-27. PLZ HELP DUE TOMORROW
Answers
Answer:
n=170
Step-by-step explanation:
add 27 to 143
then the equation is n=170
-n= -170
Answer
n=170
I need help in this question
Answers
Answer:
a) £105 300
b) £132 300
Step-by-step explanation:
a) 2700*39=105 300
b) 2700*49=132 300
Jolly Roger Peanut Butter cost $3.59 for a small jar last year. This year the jar costs $4.19. What is the inflation rate, to the nearest tenth percent?
Answers
Answer: 16.7%
I took the k12 unit test
The inflation rate is given by the percentage error and is given by the equation A = 16.71 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the inflation rate of percentage error be represented as A
Let the cost of the Jolly Peanut butter be = $ 3.59
So , the original cost = $ 3.59
Let the increased rate of Jolly Peanut butter be = $ 4.19
So , the increased rate = $ 4.19
Now , the inflation rate is given by the equation
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Substituting the values in the equation , we get
Inflation rate A = ( ( 4.19 - 3.59 ) / 3.59 ) x 100
On simplifying the equation , we get
Inflation rate A = ( 0.6 / 3.59 ) x 100
Inflation rate A = 0.16713 x 100
Inflation rate A = 16.71 %
Therefore , the value of A is 16.71 %
Hence , the inflation rate is 16.71 %
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What's the reciprocal of 0.5?
Answers
Answer:
2
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
Here n = 0.5, then reciprocal is
[tex]\frac{1}{0.5}[/tex] = 2
If 6 elephants eat 10 bales of hay, how many bales will 9 elephants eat?
Answers
Answer:
15
Step-by-step explanation: divide 10 by 6 the multiply the quotient by 9
Answer:
15
Step-by-step explanation:
6\2=3. 3x3=9 10/2=5 5x3=15
Determine the rate
100 cars pass by in 2 hours
Answers
Answer:
if 100 came by in 2 hours 50 would come by in one hour
Step-by-step explanation:
split it it's by 2
If 100 came by in 2 hours then 50 would come by in one hour.
What is unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
We have been given 100 cars pass by in 2 hours
We need to find the unit rate.
Total car = 100
Time = 2 hours
Unit rate = 100/2
Unit rate = 50
Therefore, the unit rate of 50 car in one hour.
To learn more about the unitary method, please visit the link given below;
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Find the exact area of the shaded region
Answers
Helpp I’ll mark you brainlist
Answers
9514 1404 393
Answer:
an = n + 1
Step-by-step explanation:
This arithmetic sequence has a first term of 2 and a common difference of ...
3 - 2 = 1
The general term is ...
an = a1 + d(n-1)
Using a1=2 and d=1, this is ...
an = 2 +1(n -1)
an = 2 + n - 1 . . . . . eliminate parentheses
an = n + 1 . . . . . . . .collect terms
Simplify the expression 6x-9+3x+2 .
Answers
Answer:
9x - 7
Step-by-step explanation:
6x - 9 + 3x + 2
= (6x + 3x) (- 9 + 2)
= 9x - 7
Lincoln and Hunter work at a dry cleaners ironing shirts. Lincoln can iron 30 shirts
per hour, and Hunter can iron 20 shirts per hour. Lincoln and Hunter worked a
combined 15 hours and ironed 350 shirts. Determine the number of hours Lincoln
worked and the number of hours Hunter worked.
Answers
H=hours Hunter worked
Two unknowns , two equations
30L+20H=350
L+H=15
Solve
L=15-H
30(15-H)+20H=350
450-30H+20H=350
-10H=-100
10H=100
H=10
L=15-10=5
Lincoln worked 10 hours
Hunter worked 5 hours
Check
30*5+20*10=350
150+200=350
350=350
A circle has an area of 64 pi . What is the exact circumference of the circle? Show your work.
Answers
Answer:
C≈28.36Circle
Solve for circumference
C≈28.36
A Area
64
Using the formulas
A=πr^2
C=2πr
Solving forC
C=2√πA=2·√π·64≈28.35926
Step-by-step explanation:
Hope it is helpful.....
Solve the equation n/10 + 5 =9. The solution is (Type the value of n.)
Answers
Answer:
40
Step-by-step explanation:
n/10+5=9
n/10=9-5
n/10=4
n=4*10
n=40
Raju is painting the walls and ceiling of a room with length, breadth and height of the room are 10m, 5m, 2m respectively. From each can of paint, 10m2 of area is painted. How many cans of paint will he need to paint the room?
Answers
Answer:
10 cans of paint
Step-by-step explanation:
Find the total area of the room
Divide the answer by 10meter squared.