Answers
Answer:
We are given the table of a linear function
Since we have to find the equation of the function in the slope-intercept form,
we require the slope as well as the y-intercept
Finding the slope:
We know that slope of a line is Rise / Run
Since from the graph, we notice that the difference of 2 consecutive x-coordinates is 1
Hence, we have the x-coordinates at an interval of 1 and since the slope of a line is defined as the units ascended by the line after covering 1 unit in the x-coordinate
change in y = y[tex]_{n}[/tex] - y[tex]_{n-1}[/tex] (where n is the number of row in the table)
change in y = 31 - 23
change in y = 8 = Rise
Run = 1 (Since the interval in the table is 1)
Slope = Rise / Run
Slope = 8 / 1
Slope = 8
Finding the y-intercept:
We need the y-coordinate at x = 0
Going up from the third row, we notice that for every unit decreased in the x-coordinate , 8 units of the y-coordinate are decreased (since the slope =8)
In that case, the y-coordinate of every decreased x-coordinate will be 8 less than the last one
so we can say that the y-coordinate of x = 1 will be 8 less than 23 since x=1 is one less than x = 2
similarly, we can also say that the y-coordinate of x = 0 will be 8 less than (23-8) since x = 0 is one less than x = 1
Therefore, the y-coordinate at x =0
y = (23-8-8)
y-intercept = 7
Making the Equation:
We need to write the equation in the form:
y = ax + b (where a is the slope of the line and b is the y-intercept)
Replacing the known values, we get
y = 8x + 7
Therefore, the equation of the formula shown in the table is y = 8x + 7
Related Questions
2. The table shows the mass of fibres in 100 grams of each food item below. Food Mass of fibre (grams per 100 grams) Beans Bread Soup Cornflakes Pasta 3.6 2.4 0.7 2.5 3.0 i. A small tin of beans contains 200 grams. If you are going to eat two-thirds (2/3) of this small tin of beans, how much fibres will you consume? Show your calculations. (2 marks)
Answers
Given that the amount of fiber in 100 grams of beans is 3.6 grams the amount of fiber consumed from [tex]\mathbf{\frac{2}{3}}[/tex] of the small tin is 4.8 grams.
How can the amount of fiber consumed be calculated?From the given table, we have;
Mass of fiber in 100 g of beans = 3.6 grams
Mass of beans in the small tin = 200 grams
The quantity of the beans eaten = [tex]\frac{2}{3}[/tex] of the small tin
Required:
The amount of fiber to consumed from eating [tex]\frac{2}{3}[/tex] of the small tin
Solution;
[tex]Amount \ of \ fiber \ consumed = 200 \, g \times \dfrac{3.6 \, g}{100 \, g} \times \dfrac{2}{3} = \mathbf{4.8 \, g}[/tex]
Therefore;
The amount of fiber consumed by eating [tex]\frac{2}{3}[/tex] of the small tin = 4.8 grams
Learn more about fractions here:
https://brainly.com/question/20591763
jerry has 840 cubic inches 6 in height and 10 width, what is the length?
Answers
Answer:
solve
Step-by-step explanation:
do 840 divided by 60
Answer:
14 in
Step-by-step explanation:
cubic means three
take the 2 you do have:
6 and 10
multiply them:
60
divide 840 by 60 to get the third:
14
mPQ = 113°. What is mZPOQ?
Enter your answer in the box.
113°
I NEEDHELP ASAPPPPP
Answers
Good luck!
Scarlett brought a pack of candies for 25 students. She plans to distribute 4 candies to each of her classmates. If five of them were absent, how many candies did each get?
Answers
Answer:
5 candies
Step-by-step explanation:
25×4=100
100/20=5
In-line skaters A study of injuries to in-line skaters used data from the National Electronic Injury Surveillance System, which collects data from a random sample of hospital emergency rooms. The researchers interviewed 161 people who came to emergency rooms with injuries from in-line skating. Wrist injuries (mostly fractures) were the most common.
The interviews found that 53 people were wearing wrist guards and 6 of these had wrist injuries. Of the 108 who did not wear wrist guards, 45 had wrist injuries. Why should we not use the large-sample confidence interval for these data?
a. Because 161 people are not enough for using the large-sample confidence interval.
b. Because the difference in sizes of the two groups is too large.
c. Because there are only 6 skaters in one group having wrist injuries.
d. Because the sample error is two large.
Answers
Using the Central Limit Theorem, it is found the correct option regarding why the large-sample confidence interval for these data.
c. Because there are only 6 skaters in one group having wrist injuries.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], that is, as long as there are at least 10 successes and at least 10 failures in the sample.
In this problem, for the sample of people wearing wrist guards, only 6 had injuries, hence the large-sample confidence interval should not be used and option C is correct.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
Which set of angles are alternate interior angles?
A) 1 and 7
B) 1 and 4
C) 2 and 4
D) 3 and 6
Answers
Solve for x.
3x + 2 = 38
Answers
Answer:
3x=38-2
3x=36
3x÷3=36÷3
x=12
Step-by-step explanation:
You start by grouping the like terms on one side, 2 is a constant number so you will group it with the constant 38. When you swap it to the other side of the equal sign, you change its sign. After you will divide both sides of the equation by the coefficient of x which is 3,in order to get the value of x.
Please solve this don’t say you can’t see it if you see it answer please only if you know the answer
Answers
Answer:
5) 3 units
6) 9 units
7) 15.5
8) 67
what is the amplitude and period of f(t) = sin2t
Answers
The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function
The amplitude of the function is 1The period of the function is [tex]\pi[/tex]How to determine the amplitude?The equation of the sine function is given as:
[tex]f(t) = \sin(2t)[/tex]
A sine function is represented as:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where
A represents the amplitude
By comparison;
A = 1
Hence, the amplitude of the function is 1
How to determine the period?In (a), we have:
[tex]f(t) = A\sin(B(t + C)) + D[/tex]
Where the period is:
[tex]T = \frac {2\pi}B[/tex]
By comparison;
B = 2
So, we have:
[tex]T = \frac {2\pi}2[/tex]
[tex]T = \pi[/tex]
Hence, the period of the function is [tex]\pi[/tex]
Read more about sine wave functions at:
https://brainly.com/question/23214084
Answer:
A on edge
Step-by-step explanation:
match the figures with thier name =D--------------C
Answers
please help this question
Answers
Answer:
0
Step-by-step explanation:
let the vertices on either side of the 0 be A and B
then let the vertex opposite of O be C
First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°
then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.
Write an equation of the line passing through each of the following pairs of points.
(5, 7), (−8, −4)
Answers
Answer:
y= 11/13x + 36/13
Step-by-step explanation:
y=mx+b
y2 -y1 -4-7 = -11
x1-x2 -8-5= -13
slope is 11/13
Answer:
y = [tex]\frac{11}{13}[/tex] x + [tex]\frac{36}{13}[/tex]
Step-by-step explanation:
First, find the slope of the line passing through the points
Then find the y-intercept of the line
Then construct the formula
1. find the slope
remember the formula
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] is used to find the slope
now plug in the given points
(5, 7)
(-8, -4)
[tex]x_{1} = 5\\y_{1} = 7\\x_{2} = -8 \\y_{2} = -4[/tex]
[tex]\frac{(-4) - (7)}{(-8) - (5)}[/tex]
simplify and solve
= [tex]\frac{-11}{-13}[/tex]
= [tex]\frac{11}{13}[/tex]
2. find the y-intercept
remember the base formula for a line
y= mx + b
where m is the slope and b is the y-intercept
we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept
y = mx + b
y = [tex]\frac{11}{13}[/tex]x + b
use the first set of given coordinates for a point on this line: (5, 7)
7 = [tex]\frac{11}{13}[/tex] * 5 + b
solve by inverse operations and simplifying
7 = [tex]\frac{55}{13}[/tex] + b
[tex]\frac{36}{13}[/tex] = b
3. construct the formula
now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:
y = mx + b
where m is the slope and B is the y-intercept
we found that
m = [tex]\frac{11}{13}[/tex]
and
b = [tex]\frac{36}{13}[/tex]
so that means the equation is
y = [tex]\frac{11}{13}[/tex] * x + [tex]\frac{36}{13}[/tex]
What type of number is 2/3?
Answers
Answer:
rational
Step-by-step explanation:
beacaue its a ration
Answer:
It is a rational number
A 7 character computer password is made up of 4 letters followed by 3 numbers. How many different passwords are possible? a. 333,135,504 b. 358,800,000 c. 456,976,000 d. 78,364,164,096 Please select the best answer from the choices provided A B C D
Answers
Answer:
c. 456,976,000
Step-by-step explanation:
Number of Letters = 4
Number of Letters on the Alphabet = 26
Total Numbers used = 3
Total Range of Numbers = (0-9)
Since the first 4 characters are letters, the total number of combinations for each of them would equal to 26.
And for the following 3 numbers, the total number of combinations for each of them would equal to 10.
To find the answer, we multiply all the values:
26*26*26*26*10*10*10 = 456,976,000
A real estate agent believes that the values of houses in the neighborhood she works in have increased from last year. To test this claim, she selects random houses in this neighborhood and compares their estimated market values in the current year to their estimated market values in the previous year. Suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. Assume that the values are normally distributed. What type of test is this hypothesis test?
Answers
Answer:
alternative hypothesis test
Explanation:
Remember, the alternative hypothesis test usually suggests that there is a chance of variation (difference) in the data observed.
Hence, since we are told the "real estate agent believes that the values of houses in the neighborhood she works in have increased (the chance of variation) from last year," and that "each difference is calculated by subtracting the market value of the previous year from the market value of the current year," we can reach the conclusion that this is an example of an alternative hypothesis test.
How many terms are in the expression 5d3 + d - 6c + 2?
Answers
Answer:
3
Step-by-step explanation:
Im did this in school but i forgot how so its probably wrong
A equação tem 4 termos.
Step-by-step explanation:
Os termos são sempre separados por sinais equacionais, neste caso temos adição e subtração (+ e -), logo "5d3" é o primeiro termo seguido do "d" segundo termo, "6c" terceiro termo e "2" quarto termo.
Graph the line that passes through the points (0, -5) and (5, 1) and
determine the equation of the line.
y
10
9
00
7
6
5
4
Answers
Answer:
y = 10/1x - 5
Step-by-step explanation:
y=mx+b
m=slope b=y-intercept
therefore
y=10/1x -5
(10/1 is a fractions just too lazy to make it a fraction on here)
Help help help ASAP
Answers
Answer:
The answer is C
Step-by-step explanation:
A trend line should attempt to be in the middle of the data points not above them. If it does not do as staed above, it is NOT a correct trend line.
Have an amazing day!
PLEASE RATE!!
Need help asap, ty I have no idea how to start this problem
Answers
Answer:
95
Step-by-step explanation:
Because I did the math, and it answered 95.
HELPPPPP
what is the distance, to the nearest unit, between your house and the subway stop?
Answers
Answer:
9
Step-by-step explanation
brainlypatrol keep deleting my answers
If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5
Answers
Answer:
67
Step-by-step explanation:
d(n) = 4n + 2
= 4(5) + 2
=22
t(d(n)) = 3(22) + 1
= 67
A loan company charges $80 interest for a three-month loan of $550. Find the annual interest rate (APR) they are charging.
Answers
Answer:
Step-by-step explanation:
using the simple interst formula;
SI = Principal * Rtae * Time/100
Given
Principal = $550
SI = $80
Time = 3 month = 3/12 years
Required
Annual interest rate
Substitute
80 = 550 * R * 3/12*100
80 = 1650R/1200
96000 = 1650R
R = 1650/96000
R = 0.017
Rate = 0.017 * 100 = 1.7%
Solve the system of equations x+y=-9x+y=−9 and -8x-2y=54−8x−2y=54 by combining the equations.
Answers
I should help u the 1st equation
x+y=-9x+y
→x+9x=-2y
→10x=-2y
→x=-2y/10
Ans:x=-y/5
Maybe it's the ans Of Equation No 1....
44:96.
It is estimated that 7 out
of 10 people invited to a
wedding will attend. If Mark
and Katie invite 120 people,
how many can they expect to
not attend?
Answers
Answer:
They can expect that 36 people will not attend.
Step-by-step explanation:
We are trying to figure out how many people didn't attend, so that would be 10 invites - 7 attendees = 3 bailers, so 3/10 people won't attend.
Now, you need to multiply that ratio to become 120 people:
3/10 --> x/120
In order to change that fraction, you must figure out what 120/10 is:
120/10 = 12
This means that the denominator was multiplied by 12, so the numerator must also be multiplied by 12 to get x:
3/10 --> (3*12)/120
--> 36/120
36 out of 120 people can be expected not to attend.
Square pyramid surface area?
Answers
Answer:
576 cm^2
Step-by-step explanation:
16^2 + 2 x 16 x 10
256 + 32 x 10
256 + 320
= 576
How to solve 0=X+1/x-2
Answers
Answer:
x = -1
Step-by-step explanation:
[tex]0= \frac{x+1}{x-2}\\[/tex]
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x−2.
0 = x + 1
Swap sides so that all variable terms are on the left hand side.
x + 1 = 0
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x = -1
asap
Quadrilaterals LMNO and STUV are similar.
What is the value of x in inches?
In quadrilateral L M N O, the length of segment M N is two and two-tenths inches and the length of segment N O is four and one-tenth inches. In quadrilateral S T U V, the length of segment T U is unknown and represented by variable x, and the length of segment U V is twelve and three-tenths inches.
22.9 in.
6.6 in.
8.2 in.
i think its 6.6 not sure though.
27.1 in.
Answers
Answer:
6.6 inches
Step-by-step explanation:
If f = 6 and g = 8, what does h equal?
Answers
Answer:
any number
Step-by-step explanation:
Desmond purchased 2 1/5 of mixed nuts.
What is the decimal equivalent of the pounds he purchased
Enter your answer in the box
lb
Answers
Answer:
2.2
Step-by-step explanation:
Answer:
2.2
Step-by-step explanation
The reason for this is because if you turn 1/5 into a 10th then you need to multiply 2/2 x 1/5= 2/10= 0.2. and the 2 goes before the decimal point and you get
2.2
What is the scale factor for this dilation? How do you
know?
Answers
Look at the left-most part of the blue diagram. It is 1 unit high. The corresponding left-most part of the red diagram is 2 units high, which is twice as high as the blue portion it corresponds to.
The scale factor tells us how to enlarge or shrink the object. In this case, the red figure is twice as tall and wide compared to the blue figure.
You can pick any pair of corresponding sides to get the scale factor.