Answers
Answer:
t = 54m + 160
Step-by-step explanation:
Input = m
Output = t
Equation of the function in slope-intercept form, is represented as t = km + b
Where,
k = slope/rate of change
b = y-intercept
Using two pairs, say, (2, 268) and (3, 322):
[tex] slope(j) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{322 - 268}{3 - 2} = \frac{54}{1} = 54 [/tex]
k = 54
Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.
Thus:
268 = (54)(2) + b
268 = 108 + b
268 - 108 = b (subtraction property of equality)
160 = b
b = 160
To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.
Thus:
t = 54m + 160
Related Questions
The value of a ratio
Answers
Answer:
Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.
Step-by-step explanation:
For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
Solve |x| > 5
{ x| x < -5 or x > 5}
{ x|-5 < x < 5}
{-5, 5}
Answers
Answer:
x>5
Step-by-step explanation:
|x| its absolute value so it stays the same X
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answers
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
Learn more on reflection here: https://brainly.com/question/14460986
39.4 x 1.7 I don’t how workout this out
Answers
Answer:the answer is 66.98
Step-by-step explanation:
The ratio of boys to girls in a choir is
3 to 8. There are 32 girls in the choir. How many
members are in the choir?
Answers
Answer:
there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12
Step-by-step explanation:
Answer:
44 members
Step-by-step explanation:
Because to find out the number of members first you have to find out the number of boys in choir
Divide total number of girls (32) by ratio number (8) and you get 4
Multiply the 4 you got by the ratio of boys (3), you get 12 when you multiply these together
Add the total number of boys in choir (12) and number of girls (32) and you get 44 members!
Good day to you and I hope you like my explination.
there are 30 students in class. 18 of them are wearing plaid. what percentage of students are wearing plaid for spirit week?
Answers
Answer:
The answer is 5.4%
Step-by-step explanation:
30 of 18 is 5.4
Whats the GCF of 42x and 56
Answers
what is v
v−5/6=−7/8
Answers
Answer:
here,
v-5/6=-7/8
v=-7/8+5/6
v= -1/24
Which equation below matches the relationship shown in the table?
Answers
Answer:
y = 3x + 0.5
Step-by-step explanation:
What's a common denominator for 1/2 and 1/14 SOMEONE PLEASE HELP IM ABOUT TO TAKE A TEST!!!!!!!!!!!
Answers
Answer: common denominator between 2 and 14 is 28 add 14 twice and you’ll get an even number now find out how many times you multiplied by two
Step-by-step explanation:
Answer: a common denominator for 1/2 would be 4 and for 1/14 it would be 28
Step-by-step explanation: to find common denominator you can either multiply or divide, but in this situation since the numerator is one you can only multiply. i chose to multiply them by 2.
1 x 2 = 2 = 2/4
2 x 2 = 4
1 x 2 = 2 = 2/28
14 x 2 = 28
Nadia is a stockbroker. She earns a 12% commission each week. Last week, She sold $7500 worth of stocks. How much did make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answers
Answer:900
Step-by-step explanation:
49. 5 is what percent of 33?
Answers
Answer:
15.15
Step-by-step explanation:
Answer: 150%
Step-by-step explanation:
Write a fraction first and then convert to a decimal by multiplying by 100% then
We could check this by finding out how much 49.5 is more than 33.
49.5
−
33
=
16.5
Therefore 49.5 is (100%+50%) of 33.
Credits: Socratic for helping me
X+8=13
That’s my question
Answers
subtract 8 from both sides
x= 5
hope this helps! please mark brainliest
Answer:
x = 5
Step-by-step explanation:
x + 8 = 13
x = 13 - 8
x = 5
Hope this helps :)
Select all ratios equivalent to 3:2.
2:12 18:14 27:18
Answers
Answer:
27:18.
Step-by-step explanation:
27/9 = 3
18/9 = 2
Answer:
27:18
more equivalent ratios:
6 : 4
21 : 14
r. Powell just started an experiment. She will collect data for 8 days. How many hours is this?
Answers
Answer:
192 hours
Step-by-step explanation:
24 hours = 1 day
8 x 24 = 192
How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
a. 2.
b. It will depend on the total sample size.
c.4.
d. 8.
Answers
Answer:
A. 2Step-by-step explanation:
Degree of freedom is expressed according to the formula as shown;
Degree of freedom = Sample size (Treatments) - number of parameters(Block)
Given
Number of treatments = 5
Number of blocks = 3
Degree of freedom = 5 - 3
Degree of freedom = 2
Hence the error will have 2 degrees of freedom in the randomized block design.
WILL GIVE BRAINLIEST. It is also worth 34 POINTS!!! PLEASE HELP!!!! Please respond in full sentences. I appreciate your help. Thank you!!
Answers
Answer: 1 orange would be 50 cents.
b) the ordered pairs 12,10 means that there are 12 pounds of oranges and they cost $10 dollars
Step-by-step explanation:
What is the yintercept of f(x) = (1/4)^x
Answers
Answer:
(0,1)
Step-by-step explanation:
Answer
Answer:
(1/4)^x
Step-by-step explanation:
Look at the graph
Please help meeeeeee will brainliest
“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”
Answers
Answer and equation: If we choose two whole numbers; 8 and 10
We want to divide certain numbers by 8 and 10 to get 9 remainder 5.
In this case; 77 divided by 8 is equal to 9 rem 5
and 95 divided by 10 is equal to 9 rem 5
To justify which is greater, we use decimal division;
= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)
and
= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)
Therefore; the first case is greater since 9.625 is greater than 9.5
That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.
Jara estimated her new shoes would cost $475. They actually costed $300 actually attended. What is the relative error?
Answers
Answer:
hbrfhjbwfjbrh
Step-by-step explanation:
ewjhfwh
Answer:
b
Step-by-step explanation:
What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?
Answers
Answer:
the correct answer is a
The correlation between the ages of husbands and wives if men always married woman who were :
(a) 3 years younger than themselves
Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables: According to our constitution, the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.Therefore, the correct answer is a.
Learn more :
https://brainly.com/question/25160894?referrer=searchResults
what is the percent increase from 3.5 to 3.5
Answers
Answer:
0
Step-by-step explanation:
There is no increase
Answer:
0
Step-by-step explanation:
there is no increase in percent
MOVIES Marcus is a member of a theater club. He pays a monthly fee and his movie tickets are then $5 for an unlimited number of movies that month. The graph shows the cost for each month. Find and interpret the rate of change and the initial value.
Answers
what will be the value of d when an airplane flies at 420 miles per hour for three hours?
Answers
Answer:
1260 I think
Step-by-step explanation:
because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260
WILL GIVE BRAINLEST PLZZZ HELPP MEEEE
Answers
Answer: its C
Step-by-step explanation:
Find the measure of angle A.
Answers
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)
(1,6)
(2,6)
(2,5)
(1,5)
2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
(1 point)
Their intersection point is the only point where different inputs into both functions yield different outputs.
Their intersection point is the only point where the same input into both functions yields different outputs.
Their intersection point is the only point where different inputs into both functions yield the same output.
Their intersection point is the only point where the same input into both functions yields the same output.
3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Answers
Answer:
2,6
Step-by-step explanation:
Answer:
1. (2,6)
2. C
3. B
Step-by-step explanation:
y = - 2x + 10
y = x + 4
SInce the two equation both equal y, we can said they are equal.
- 2x + 10 = x + 4
- 10 - 10
- 2x = x - 6
- x - x
- 3x = - 6
/-3 /-3
x = 2
Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.
- 2(2) + 10 = 2 + 4
- 4 + 10 = 6
6 = 6
This is true since both sides are equal.
The point that intersects y=-2x+10 and y=x+4 is (2,6).
2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
C) Their intersection point is the only point where different inputs into both functions yield the same output.
Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).
3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.
y = - 1/3x + 5
y = - 1/3(0) + 5
y = 5
Point: (0,5)
Slope: - 1/3
Rise over run (y/x) so up 3 and left 1.
B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.4, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.6. (a) What are the mean and standard deviation of the average number of moths x in 45 traps
Answers
Answer:
Mean = 0.4
Stand deviation = 0.08944
Step-by-step explanation:
1.
This question tells us that the mean of trapped moths is only 0.4
Therefore the mean = E(X) = 0.4
2.
The standard deviation of the sample mean is
= σ/√n
σ = 0.6
n = 45
When we put these values into the formula we will have:
0.6/√45
= 0.6/6.708
= 0.08944
So in conclusion, the mean is 0.4 and the standard deviation is 0.08944.
Thank you!
Pls answer I will mark
Answers
Answer:
c. 6x - 4 = 8
Step-by-step explanation:
Y=2x + 4? What type of graph represent the solutions of the equation
Answers
Answer:
Ummm Linear? Up 2 Over 4
Step-by-step explanation: