Which set of ordered pairs (x,y)(x,y) could represent a linear function? \mathbf{A}= A= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\} {(2,9),(4,5),(6,1),(7,−1)} \mathbf{B}= B= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\} {(−1,−8),(0,−3),(1,3),(2,8)} \mathbf{C}= C= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\} {(−9,5),(−3,3),(3,0),(9,−2)} \mathbf{D}= D= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\} {(1,−8),(2,−6),(3,−3),(4,0)}
Question:
Which set of ordered pairs (x,y) could represent a linear function?
[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]
[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]
[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]
[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]
Answer:
[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]
Step-by-step explanation:
Given
Ordered pairs A - D
Required
Which represents a linear function?
To do this, we simply calculate the slope (m) of each ordered pairs.
[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]
Considering A:
[tex]\mathbf{A}= \,\,\left\{(2, 9),\,\,(4, 5),\,\,(6, 1),\,\,(7, -1)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (4,5)[/tex]
[tex]m = \frac{5 - 9}{4 -2} = \frac{-4}{2} = -2[/tex]
Consider the another pairs
[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (6,1)[/tex]
[tex]m = \frac{1 - 9}{6 -2} = \frac{-8}{4} = -2[/tex]
Consider the another pairs
[tex](x_1,y_1) = (2,9)[/tex] and [tex](x_2,y_2) = (7,-1)[/tex]
[tex]m = \frac{-1 - 9}{7 -2} = \frac{-10}{5} = -2[/tex]
The slope is uniform all through.
i.e.
[tex]m = -2[/tex]
Hence, this can be a linear function
Considering B:
[tex]\mathbf{B}= \,\,\left\{(-1, -8),\,\,(0, -3),\,\,(1, 3),\,\,(2, 8)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (0,-3)[/tex]
[tex]m = \frac{-3 - (-8)}{0 - (-1)} = \frac{-3 +8}{0 +1} = \frac{5}{1} = 5[/tex]
Consider the another pairs
[tex](x_1,y_1) = (-1,-8)[/tex] and [tex](x_2,y_2) = (1,3)[/tex]
[tex]m = \frac{3 - (-8)}{1 - (-1)} = \frac{3 +8}{1 +1} = \frac{11}{2} = 5.5[/tex]
The calculated slopes are not equal.
i.e.
[tex]m = 5[/tex] and [tex]m = 5.5[/tex]
Hence, this can't be a linear function
Considering C:
[tex]\mathbf{C}= \,\,\left\{(-9, 5),\,\,(-3, 3),\,\,(3, 0),\,\,(9, -2)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (-3,3)[/tex]
[tex]m=\frac{3-5}{-3-(-9)} = \frac{3-5}{-3+9} = \frac{-2}{6} = -\frac{1}{3}[/tex]
Consider the another pairs
[tex](x_1,y_1) = (-9,5)[/tex] and [tex](x_2,y_2) = (3,0)[/tex]
[tex]m=\frac{0-5}{3-(-9)} = \frac{0-5}{3+9} = \frac{-5}{12} = -\frac{5}{12}[/tex]
The calculated slopes are not equal.
i.e.
[tex]m = -\frac{5}{12}[/tex] and [tex]m = -\frac{1}{3}[/tex]
Hence, this can't be a linear function
Considering D:
[tex]\mathbf{D}= \,\,\left\{(1, -8),\,\,(2, -6),\,\,(3, -3),\,\,(4, 0)\right\}[/tex]
Consider the following pairs
[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (2,-6)[/tex]
[tex]m = \frac{-6 - (-8)}{2 - 1} = \frac{6 + 8}{1} = \frac{14}{1} = 14[/tex]
Consider the another pairs
[tex](x_1,y_1) = (1,-8)[/tex] and [tex](x_2,y_2) = (3,-3)[/tex]
[tex]m = \frac{3 - (-8)}{-3 - 1} = \frac{3 + 8}{-4} = \frac{11}{-4} = -\frac{11}{4}[/tex]
The calculated slopes are not equal.
i.e.
[tex]m = -\frac{11}{4}[/tex] and [tex]m = 14[/tex]
Hence, this can't be a linear function
From the calculations above:
Only (A) can be a linear function
Answer:
Step-by-step explanation:
Factor to find the zeros of the function:
y = 8x2 + 8x - 96
-0)
A)
x = 4 or x = 3
B)
X = -4 or x = 3
X = 4 or x = -3
D)
x = -4 or x = -3
Step-by-step explanation:
y = 8x² + 8x - 96
y = 8(x² + x - 12)
y = 8(x + 4)(x - 3)
When y = 0, 8(x + 4)(x - 3) = 0.
=> x = -4 or x = 3. (B)
Pls help due in 7 mins,ill give brainliest and 5 stars and thank you
Answer:
Step-by-step explanation:
a) 14x
b)-40c
c)8n
d)28x
e)8n
f)-15/2y= - 7 1/2 y
independent practice: tangents of circles
Line AB and Line CD are tangents of circle O. Find each of the following.
(see picture)
Answer:
here is your answer
Step-by-step explanation:
i.think this is a wrong question
Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?
Hundreds
Tens
Ones
Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.
apples=??
Part C
How many apples will be left? Enter your answer in the box.
apples=??
Answer:
Step-by-step explanation:
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?
Hundreds ✔️
Tens ❌
Ones ❌
Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.
Apple in each box = 186
Part C
How many apples will be left? Enter your answer in the box.
Apple will be left = 0
Please Tell If Wrong Because I used a piece of paper
There are 18 apples in each basket from the given situation.
Given that, Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Part A:
744 ÷ 40
40 | 744 | 18
40
_____
344
320
_____
24
The first digit of quotient 18 is in tens place.
Part B:
There are 18 apples in each basket.
Part C:
There are 24 apples will be left.
Therefore, there are 18 apples in each basket from the given situation.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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Write the slope-intercept form of the equation of the line through the given points: (-2,13) and (4,1)
Answer: y = -2x + 9
Step-by-step explanation:
Points through which the line passes through are: (-2,13) and (4,1)
The slop intercept form will be in terms of:
y = mx + c
Find m first which is the slope:
= (Y₂ - Y₁) / (X₂ - X₁)
= (1 - 13) / (4 - (-2))
= -12 / 6
= -2
Using a point on the line and the slope, calculate c which is the y intercept:
Using point (-2,13) :
y = mx + c
13 = -2 * -2 + c
13 = 4 + c
c = 13 - 4
c = 9
Slope intercept form of line is therefore:
y = -2x + 9
please help!!!!!!
hannah spends 20% of her money on sweets and 32% on fares. if she spent $8 on sweets what is:
(1) the amount of money she originally had?
(2) the amount of money spent on fares?
(3) the amount she has left?
Answer:
1) $40
2) $12.80
3) $19.20
Step-by-step explanation:
(a) find: 8 is 20% of what number
use proportion: is = percent
of 100
is = 8
of = what you're solving for, let's say 'x'
20% = 20/100
8 = 20
x 100
cross-multiply: 20x = 800
x = 40
(b) money spent on fares: 32% of 40 is what number?
32 = y
100 40
1280 = 100y
y = 12.80
3) 40 - (8.0 + 12.80) = 40 - 20.8 = 19.20
What is the slope of that line?
Answer:
the slope is 1
Step-by-step explanation:
left to right is positive and from the first dot it's one up and one over or 1/1 and that continues all the way up
What is the slope of the line perpendicular to the line whose equation is: y=2/3x+6
Answer:
Step-by-step explanation:
-3/2x
opposite reciprocal of 2/3 would be -3/2
hope this helps <3
Poss
6.
write four negative integre
negative integre less than -20.
Answer:
-21, -22, -23, & -24
Step-by-step explanation:
on the number line, the to the left, the smaller the value.
Factored form: f(x) = (x+1)^2(3x+5)^2(x-2)
What is this equation in standard form.
Answer:
[tex]9x^{5}+30x^{4}-2x^{3}-108x^{2}-135x-50[/tex]
Step-by-step explanation:
see below, if you have any questions leave a comment
I WILL MARK YOU BRAINLEST The graph below shows the number of calories burned while riding a bicycle.
Calories Burned Bike Riding
Calories Burned
Minutes of warcie
At what rate are calories burned by bike riding?
o A. 0.25 calories per minute
B. 0.8 calories per minute
OC. 4 calories per minute
OD. 10 calories per minute
Answer:
c 4 cal per minute
Step-by-step explanation:
because they burn 40 cal per 10 min and 40÷10 is 4 so 4 cal per 1 min
7th grade math help me pleasee:)
Answer:
59
Step-by-step explanation:
4^2 +5*3^2 -4^2 / 2^3
order of operations says to do first parenthesis, exponents, then division and multiplication
first the exponents
4^2 = 16
3^2= 9
4^2=16
2^3=8
16+ 5*9-16/8
then multiply 5*9
=16+ 45 -16/8
simplify the fraction
=16+ 45 -2
add them
=59
i hope this helps
8x^2-5x-4
can anyone solve this its a question on my homework?
Answer:
x = 1.09 , − 0.46
Step-by-step explanation:
→ Factorise 8x² - 5x - 4
Not possible by factorisation
→ Substitute values into quadratic formula
x = 1.09 , − 0.46
David purchased these school supplies: 5 notebooks for $1.29 each 2 pens for $1.19 each 12 pencils for $0.05 each 6 erasers for $0.15 each How much change should David receive from $20?
Answer:
The answer is $9.67.
Step-by-step explanation:
Notebooks: 5 * 1.29 = 6.45
Pens: 2 * 1.19 = 2.38
Pencils: 12 * 0.05 = 0.60
Erasers: 6 * 0.15 = 0.90
Total: 6.45 + 2.38 + 0.60 + 0.90 = 10.33
Change: 20 - 10.33 = 9.67
A company produces two different sizes of soup cans. The volume of the cans varies jointly with the square of the can's radius and the height. The smaller can has a height of 5 inches, a squared radius of 4 inches, and a volume of about 62.8 cubic inches. What is the volume of the taller can, which has a height of 9 inches and a squared radius of 4 inches? Round to the nearest tenth, as needed.
A. V=113.0
B. V=36.0
C. V=3.1
D. 91.3
Answer:
A. V= 113 in³Step-by-step explanation:
Volume formula will be:
V = kr²h,where V - volume, k - coefficient of proportion, r² - squared radius, h - height
Substitute the known values to find the unknown:
62.8 = k*4*562.8 = 20kk = 62.8/20k = 3.14Now find the volume of the taller can:
V = kr²hV = 3.14*4*9 = 113.04 ≈ 113 in³Correct option is A
A=113.0
Hope it helps guys!! :)
I need help really quick! I would really appreciate it! :D
Find the surface area of the prism.
Answer and Step-by-step explanation:
To find the surface area, all you have to do is find the area of each face of the prism, and then add them all together.
15 x 20 = 300
(15 x 8)/2 = 60
(15 x 8)/2 = 60
(There are two triangles)
8 x 20 = 160
20 x 17 = 340
Now, add them all together.
300 + 60 + 60 + 160 + 340 = 920
The surface area of the prism is 920 [tex]units^{2}[/tex]
#teamtrees #WAP (Water And Plant)
THIS IS SIMPLE INTEREST
Interest = $10
Principal = $250
Interest rate = 4%
Time = ?
Step-by-step explanation:
mmi got the answer .as : 1
time=1
If L II M, solve for x and y
I’ll give Brainliest to best answer
Answer:
x=17
y=9
Step-by-step explanation:
set 3x-4=5x-38
-2x=-34
x=17
plug x back into equa.= 47 degrees
180-90(right angle)-47=43
7y-20=43
7y=63
y=9
Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.
A 2-column table with 5 rows. Column 1 is labeled score with entries 1, 2, 3, 4, 5. Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
What is the mean of the distribution?
2.5
2.95
3
3.5
Answer:
The center for the distribution of scores appears to be higher for subject B than for subject A.
The mean of the distribution when X represent the score on a randomly selected exam so here the mean be like 2.95.
Calculation of the mean:Since
Column 1 is labeled score with entries 1, 2, 3, 4, 5.
Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
So it be like
= (0.18) (1) + (0.20) (2) + (0.26) (3) + (0.21) (4) + (0.15) (5)
= 0.18 + 0.40 + 0.78 + 0.84 + 0.75
= 2.95
Hence, the third option is correct.
Learn more about mean here; https://brainly.com/question/16616666
A cooling tower is 120 meters tall. The sides of the tower are in the shape of a hyperbola defined by the equation x^2/500 - y^2/900 = 1 with units in meters. The center of the tower is at the origin. How wide is the tower at the top?
50 m
92 m
100 m
184 m
Answer:
c (100)
Step-by-step explanation:
on edg 2021 ^u^
The width of the tower at the top will be 92 m. Then the correct option is B.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
A cooling tower is 120 meters tall.
The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.
The center of the tower is at the origin.
Then the width of the tower at the top will be
x²/500 – (120)²/900 = 1
x²/500 – 14400/900 = 1
x²/500 – 16 = 1
x²/500 = 1 + 16
x²/500 = 17
x² = 8500
x = 92.19 ≈ 92 m
Then the correct option is B.
More about the hyperbola link is given below.
https://brainly.com/question/12919612
#SPJ2
i need help in math .....
imma do them bottom questions
If she paid the store $67.50 (USD) and the membership is 20$ take that 20 and add 2.50 onto it till you get the answer BUT if you want to explain it all the way each month has about 30 days in it so 30x3=90 so she was there for 90 days. 90x$2.50=225 but we all know, she couldn't have rented that many... right? but the final answer is 19, you take 20 from 67.50 which was the membership and all you have to do is fill in that missing amount so take 2.50 and multiply till you get the answer.
answer 19 videos
please help asap !!!
Answer:
The solution to the system of equation is (1,-4)
Step-by-step explanation:
Here, we want to find the solution to the system of equations
Since we have y in both places, we can equate the two
That would be;
-x-3 = -7x + 3
-x + 7x = 3 + 3
6x = 6
x = 6/6
x = 1
y = -x - 3
y = -1 -3
y = -4
So the solution to the system of equations is (1,-4)
Mr. Green paid $7.50 for a set of dry erase markers. He used a $2.00 coupon for his purchase. Write AND solve an equation that represents the difference between d, the original price of the markers and the coupon. Solve for d.
Answer:
[tex]d - 2 = 7.50[/tex]
$9.50
Step-by-step explanation:
Given that:
Money paid by Mr. Green for a set of dry erase markers = $7.50
Coupon used for the purchase = $2.00
To find:
The equation and solution to represent the difference the original price [tex]d[/tex] of the markers and the coupon.
Solution:
Given that, the original price of the dry erase markers = $[tex]d[/tex]
Coupon amount = $2.00
Amount paid = $7.50
The equation can be made by subtracting the coupon amount from the original price and comparing it with the amount paid by Mr. Green for the purchase.
Original price = $([tex]d[/tex] - 2)
[tex]d - 2 = 7.50[/tex]
Solving the above equation by adding 2 on both the sides:
[tex]d -2+2= 7.50+2\\\Rightarrow d = \$9.50[/tex]
Please help me with number 15. If you could provide work, that would be great.
x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think
Need help please? Thank you so much
What division problem does the model show? (Giving Brainliest To Whoever Answers Good)
(Look at picture)
Answer:
18÷18÷18
=0.05555555555
Which of the following is not a rational number?
Answer:b
Step-by-step explanation:
did it and get your answer
What is thirty divided by ten
Answer:
It is three.................
30 ÷ 3 = 3
Hope this helps :)
What is the distance between the points (2,3) and (5,-4)
6.3 units
3.7 units
10 units
7.6 units