Given:
One linear function represented by the table.
Another linear function represented by the graph.
To find:
The greater unit rate and greater y-intercept.
Solution:
Formula for slope (unit rate):
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.
[tex]m_1=\dfrac{15-5}{5-0}[/tex]
[tex]m_1=\dfrac{10}{5}[/tex]
[tex]m_1=2[/tex]
So, the unit rate of first function is 2.
From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.
[tex]m_2=\dfrac{0-6}{-4-0}[/tex]
[tex]m_2=\dfrac{-6}{-4}[/tex]
[tex]m_2=\dfrac{3}{2}[/tex]
So, the unit rate of first function is [tex]\dfrac{3}{2}[/tex].
Now,
[tex]2>\dfrac{3}{2}[/tex]
[tex]m_1>m_2[/tex]
And,
[tex]15>6[/tex]
Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.
Answer:
The greater unit rate of the two functions is 2.
The greater y-intercept of the two functions is 6.
Step-by-step explanation:
yay!
7. Peter is trying to get his cat out of a free in
his backyard. The cat is 12 feet above the
ground, and Peter has to put the base of his
ladder q feet away from the tree because of
mud. How long does the ladder need to be in
order to reach the cat?
Answer:
13 ft
Step-by-step explanation:
plz help me
also good morning
Answer:
x=-24
Step-by-step explanation:
Answer:
It is -24.
Step-by-step explanation:
First distribute 2/3 on the left side, and distribute 1/2 on the other side. Now you have 1 /3 x + 8 = 1/ 6 x + 7 + (−3). Now, combine like terms. Now you should have 1 /3 x + 8 = 1 /6 x + 4. Now, subtract 1/6x on both sides. You should now have 1 /6 x + 8 = 4. Subtract 8 from both sides, and you should have 1/6x = -4. Now the last step is to multiply by 6 on both sides. Now you should get -24. Have a good day!
13(2x)+5x as a simplified expression
Answer:
31x
Step-by-step explanation:
PEMDAS. Multiplication first.
13*2x is 26x. Then add 5x. 31 x
Hope this helps you :D
#Team Rainbows
I NEED HELP I'M TAKING FINALS!
If five times a number is subtracted from 27, the result is nine more than four times the number. Which equation can be used to find the value of the number?
A. 5(27 - x) = 9 + 4x
B. 27 - 5x = 4(9 + x)
C. 27 - 5x = 4x + 9
D.
5x - 27 = 9 + 4x
Answer:
C
Step-by-step explanation:
Listen, just think about it.
If 5 times “x” is subtracted from 27 (so 27-5x) if the result/answer
(meaning its equal “=“ ) is 9+ than 4 times “x” (soo basically like 4x +9). If you put all of those 2 equations together you get 27 x 5x = 4x + 9.
(I use “x” to as the variable and remember when a variable is next to a number it means you have to multiply whatever that number is)
what is 4j+8=56 full answer
Answer:
j=12
Step-by-step explanation:
hope this helps
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
there are 9 children in a class who take the bus to school and there are 15 total children in the class what percentage of the children take the bus to school?
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
9/15=.6
.6 as a percent is 60%
Please help!! And show work please! I'll give brainlist..!
3. If RS = 4y -2, ST = 5y -3, and RT = 16y+8. What is the value of y? Find RS, ST, and RT.
GOING SEVENTEEN SUPREMACY
f= -r + 4/3 b
find b
submit answer
Answer:
b=[tex]\frac{3f}{ 4} + \frac{3r }{ 4 }[/tex]
Step-by-step explanation:
Simplity
82 - 6(7 - 4) + 2
Answer:
66
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
82 - 6(7 - 4) + 2
Step 2: Evaluate
(Parenthesis) Subtract: 82 - 6(3) + 2Multiplication: 82 - 18 + 2Subtraction: 64 + 2Addition: 66Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.
Answer:
40-5x
Step-by-step explanation:
Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression
Martin and Helen both are computer technicians and they repair all kind of computers. Martin makes $50 a day plus $25 per repair. Helen makes $20 a day plus $35 per repair. Write an expression and simplify it for Martin and Helen’s total daily earnings if they make the same number of repairs r. I'll give thanks and 5 stars if answered!!
Answer:
In the equation the $50 would be the start up or in other words the y-intercept
Step-by-step explanation:
Answer:
Martin made more. He mad $75 dollars.
Step-by-step explanation:
So martin makes $50 a day plus $25 per repair. so he made $75 dollars. And Helen makes $20 a day plus $35 per repair so he maid $55 dollars less so martin made more. No they don't make the same number of repairs.
Giving brainliest please help!
Answer:
22 or 21
Step-by-step explanation:
HOP THAT HELPS
hi need help with math
some one help
Answer:
Ether C or D. hope this helps
Select all ratios equivalent to 5:10 select all that apply
Answer:
8:16 and 7:14
Step-by-step explanation:
5:10 is a 1 to 2 ratio and so are 8:16 and 7:14
Answer:
8:16 and 7:14
Step-by-step explanation:
It is a half and half ratio
If EF - 8x+ 17, PG - 37, and EG - 134, find the value of x. The drawing is not to scale.
F
G
x-12
x 80
X-10
X-26
If the width of a rectangle is 9 ft less then twice it’s length and the perimeter is 30 feet, what are the dimensions of the rectangle?
The dimension of the rectangle is,
The length of the rectangle is 7 feet.
And the width of the rectangle is 8 feet.
Given that,
If the width of a rectangle is 9 ft less than twice its length and the perimeter is 30 feet,
We have to determine,
What are the dimensions of the rectangle?
According to the question,
Let, the width of the rectangle is W,
And the length of a rectangle is L = 2W - 9,
The perimeter of the rectangle is = 2(L+W)
Where perimeter is 30 feet,
Therefore,
[tex]30 = 2(2W-9+W)\\\\30 = 2(3W-9)\\\\30 = 6W-18\\\\30 + 18 = 12W\\\\48 = 6W\\\\W = \dfrac{48}{6}\\\\W = 8 \ feet[/tex]
And the length of a rectangle is,
[tex]L = 2W - 9, \\\\L= 2(8) - 9\\\\L = 16-9 \\\\L =7 \ feet.[/tex]
Hence, The dimension of the rectangle is, the length of the rectangle is 7 feet, and the width of the rectangle is 8 feet.
To know more about Rectangle click the link given below.
https://brainly.com/question/19005097
What is the slope of a line that passes through the points (-2,4) and (-6, 12)?
-2
2
-1/2
1/2
Answer:
-2
Step-by-step explanation:
first, you want to graph your points on a graph. A really good online graphing calculator i like is called desmos.
next, slope is rise over run. count how many units up or down from leftmost point to the other. in this case it is -8.
third, find the run part of the slope by counting units right or left from the leftmost point to the other. in this case it is 4.
last, but the two numbers together in a fraction and simplify. rise over run.
-8/4 which simplifies to -2/1 which is the same thing as -2
For f(x) = -4 - 6x, find f(5)
Answer:
-34
Step-by-step explanation:
Insert the 5 into the place of the X.
Then solve:
-4 - 6(5)
= -4 - 30
= -34
Can someone please explain to me how to calculate your GPA and also on how to find out what your total grade points is... I stay confused
Answer:
Here is the explanation of how I was taught to do it :)
Step-by-step explanation: In its easiest form, an A=4, B=3, C=2, D=1, F=0.
If the class is 2 credit.......Multiply each numeric grade value by the number of credits the course was worth
Add these numbers together
Divide 45 by the total number of credits you took, in this example,13.
Your Weighted by Credit Hour GPA = 3.46
It depends on your school. Sorry this was not the most clear, I was taught like 2 years ago, and now I kinda forgot but hopefully this helps a lil dont get mad :)
Which of the following is closest to 1/2 + 1/3?
Answer:
c
Step-by-step explanation:
Which of the following is a function? *
{(5, 0), (0, −8), (5, −5)}
{ 5, 0, -8. -5}
Option 5
{(5, 0), (0, 5), (−5, −5)}
{(5, 0), (−8, −5), (−8, 5), (−5, −8)}
Answer:
{(5,0),(0,5),(-5,-5)}
Step-by-step explanation:
help please? 26x-2(3x+4y)-10y
Answer:
20x-18y
Step-by-step explanation:
26x-2(3x+4y)-10y
26x-6x-8y-10y
20x-18y go doawnload the app photomath its a great tool
if a snail crawls 12 centimeters per hour, how long will it take for the snail to travel 1 meter?
Answer:
8 1/3 hours : )
following data, what would be the value of x?
Answer:
The answer is C. 10
Step-by-step explanation:
Answer:
Step-by-step explanation:
question please
What are the solutions of x2 + x = 11
Answer:
x = 11/3
Step-by-step explanation:
x2 + x = 11
Combine like terms
3x = 11
Divide both sides by 3
x = 11/3
If the m =1/2 and the b = -2, then the linear equation is
Answer: y= 1/2x - 2
Step-by-step explanation:
y= mx+b
m= 1/2 (plug it in)
b= -2 (plug it in)
x= ?
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
What is 50,000 + 7,000 + 400 + 10 + 6 in standard form?
Answer:
57,416
Step-by-step explanation:
50,000 + 7,000 + 400 + 10 + 6
50,000 is in the ten thousands place.
7,000 is in the thousands place.
400 is in the hundreds place.
10 is in the tens place.
6 is in the ones place.