Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
Answers
The statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'
What is rate of change of a function?The rate at which one quantity is changing with respect to another quantity.
For given question;
It is given a function y = 4x + 2
This function represents a line.
We have slope of the line = 4 and y - intercept = 2
We already know that the rate of change of line is given by its slope.
So, the rate of change of given function ;
y = 4x + 2 is 4.
The starting point of function f(x) is 2.
The graph of the line passing through points (-1, 1) and (0, 4)
So using slope formula,
m = (4-1)/ 0-(-1)
m = 3
So, the rate of change of function is 3.
The rate of change of function shown on the graph is smaller than the rate of change of function y = 4x + 2
Thus, the statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'
Hence, The correct answer is option (A)
Learn more about the rate of change of function here:
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Related Questions
Hector took out a small loan of $900 for 18 months. The simple interest rate on the loan was 10.5%. How much will he pay in interest on the loan?
Answers
Answer:
The answer would be $1.89 in interest.
Step-by-step explanation:
First, change 10.5% into a decimal. To do this, you divide 10.5÷100. This equals 0.105
next, you multiply 0.105 with 12 (12 months in a year)
This equals 1.26
But, Hector still has 6 months left he has to pay for.
So, one way you can do this is divide 1.26 by 2, which equals 0.63.
THEN, you add 0.63 with 1.26, giving you the answer, 1.89
So, the answer for this equation would be 1.89.
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 13+7.9n and 10+8.2n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box? The larger box of cereal has as much cereal as nothing smaller boxes.
Answers
Answer: 10.5 small boxes
Step-by-step explanation:
One positive number is 5 times another number. The difference between the two numbers is 1464, find the numbers.
Answers
Answer:
The answer is 292.8
Step-by-step explanation:
You just have to divided 1464 by 5
The curved surfaces area of a right circular cylinder is 264 sq. metres and its volume is 924 cu.metres. The diameter and height of the cylinder is
Answers
Choose the sentence that is equivalent to the following statement:
Among any two consecutive positive integers, there is at least one integer that is not prime.
a. If x and y are positive integers, then x is not prime and y is not prime.
b. If x and y are positive integers, then x is not prime or y is not prime.
c. If x is a positive integer, then x is not prime and x 1 is not prime.
d. If x is a positive integer, then x is not prime or x 1 is not prime.
Answers
Answer:
bbbbbbbb
Step-by-step explanation:
bbbbbbbbb;bbbbbbbvvvbbbbb;vvvvvvvvvvvvvv
how do i do this, find the value of x in a circle
Answers
Answer:
x=25
Step-by-step explanation:
line st is the diameter so it equals 180º
so 3x-14+3x-14+2x+8=180 substitution
8x-20=180 combining like terms
+20 +20 singling out the variable
8x=200
÷8 dividing
so x=25 answer
Hello someone help me please
Answers
Answer:
b
Step-by-step explanation:
Which table contains points from the inverse of the graphed function?
Answers
Good luck.
The equation of the line is represented in table number 2. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the y-intercept is 5. Then the equation is given as,
y = mx + 5
From the graph, the equation passes through (-4, -3). Then we have
- 3 = (-4)m + 5
- 8 = - 4m
m = 2
Then the equation is given as,
y = 2x + 5
The equation of the line is represented in table number 2. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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If f(1) = 160 and
f(n)=1/2f(n-1) what is f(5)?
Answers
Answer:
10
Step-by-step explanation:
[tex]f(n) = \frac{160}{ {2}^{(n - 1)} } [/tex]
Answer:
This is 10
f(5) = 5f
ANSWER QUICK PLEASE!
Which of the following is NOT an expression?
A. 3x + 4 = 7
B. 6 - i/5
C. x + 8
D. 2x - 3
Answers
Answer:
A. 3x + 4 = 7
Step-by-step explanation:
Expressions do not have an equal sign.
Hopefully this helps!
Brainliest please?
An elevator was at floor24. It was down 6 floors, up 10 floors, and then down 8 floors. At what floor did it stop?
Answers
24 - 6 = Floor 18
18 + 10 = Floor 28
28 - 8 = Floor 20
1. What is the greatest common factor of 16, 24, 40? *
1 point
A. 4
B. 8
C. 9
D. 12
2. Which of these sets is the common factors of 36 and 42? *
1 point
A. 1, 2, 3
B. 1, 4, 6
C. 1, 3, 6
D. 1, 2, 6
3. What is the GCF of 32, 48, 64? *
1 point
A. 8
B. 12
C. 16
D.. 18
4. Calixto was asked to find the GCF of 42 and 49. What number did he find?
1 point
A. 4
B. 5
C. 6
D. 7
5. Sixty notebooks, 48 ball pens and 36 correction tapes are shared among a number of grade 5 pupils such that each gets an equal number of each kind. How many pupils will get an equal number of each kind.
1 point
A. 5
B. 10
C. 12
D. 15
6. What is the first 4 multiples of 9? *
1 point
A. 5,7,9,12
B. 9,17,20,29
C. 9,18,27,36
D. 9,10,19,29
7. What are the common multiple of 3,4 and 6? *
1 point
A. 12,24,30
B. 12,24,32
C. 12,24,36
D. 12,24,42
8. Which of the following is the LCM of 8, 12 and 20? *
1 point
A. 120
B. 220
C. 260
D. 280
9. The LCM of 18, 24 and 36 is 60. *
1 point
A. True
B. False
C. Maybe
D. I'm not sure
10. The School Canteen serves chicken and barbecue every 5 days and vegetable lumpia every 4 days. On which days are both dishes served? *
1 point
A. every 16th day
B. every 20th day
C. every 25th day
D. every 40th day
Answers
Answer:
1. B
2. C
3. A
4. D
5. C
6. C
7. A
8. A
9. B
10. B
Step-by-step explanation:
Answer:
the answer is 4
Step-by-step explanation:
Help me please please ..........
Answers
Answer:
D
do you rlly need an explanation?
Answer:
b-16/25
Step-by-step explanation:
cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more
A batting machine uses an automatic baseball feeder. During baseball
practice the feeder is a full. An attendant fills it with 15 baseballs so
that the feeder is now full. How many baseballs does the feeder
hold when full?
A. Write an equation to represent the problem.
Answers
The feeders in battling machine are represented in proportions and fractions.
The equation that represents the problem is: [tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]The feeder can hold 30 baseballs, when fullThe given parameters are:
[tex]\mathbf{Initial = \frac 16x}[/tex] ------ 1/6 full
[tex]\mathbf{Additional = 15}[/tex] --- baseballs added
[tex]\mathbf{Final = \frac 23x}[/tex] ---- 2/3 full
So, the equation that represents the problem is:
[tex]\mathbf{Initial + Additional = Final}[/tex]
So, we have:
[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]
The number of baseballs it can hold is calculated as follows:
[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]
Multiply through by 6
[tex]\mathbf{x + 90 = 4x}[/tex]
Collect like terms
[tex]\mathbf{4x - x = 90 }[/tex]
[tex]\mathbf{3x = 90 }[/tex]
Divide through by 3
[tex]\mathbf{x = 30 }[/tex]
Hence, the feeder can hold 30 baseballs, when full
Read more about proportions and fractions at:
https://brainly.com/question/20337104
What is the equation of a line parallel to 2x−3y=5 that passes through the point (−9,2)?
3x−2y=−31
3x+2y=−23
2x−3y=−24
2x+3y=−12
Answers
Parallel lines have the same slope
The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]
From the question, we have:
[tex]\mathbf{2x - 3y = 5}[/tex]
Make y the subject
[tex]\mathbf{- 3y = 5 - 2x}[/tex]
Divide through by -3
[tex]\mathbf{y = \frac 23 x - 5}[/tex]
Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope
A linear equation is represented as:
[tex]\mathbf{y=mx + c}[/tex]
Where:
m represents the slope
So, by comparison:
[tex]\mathbf{m = \frac 23}[/tex]
This means that:
The required equation has a slope of 2/3
The equation of the line is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
Where:
[tex]\mathbf{m = \frac 23}[/tex]
[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]
So, we have:
[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]
Open brackets
[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]
[tex]\mathbf{y = \frac 23x + 8}[/tex]
Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]
Read more about equations of parallel lines at:
https://brainly.com/question/402319
Solve the following systems of equations. (a) x+y = 5 x-y = -1
Answers
Answer:
[tex]x + y = 5 ...(1)\\ x - y = - 1 ...(2)\\ add \: (1) + (2) \\ 2x = 4 \\ x = 2 \\ sub \: x = 2 \: in \: (1) \\ 2 + y = 5 \\ y = 3[/tex]
PLZ HELP
which relation is a function?
Answers
Answer:
The Bottom one
Step-by-step explanation:
The Line cant pass thru it twice. I think, if not sorry.
Rose :)
All three graphs in the picture above are NOT functions because they do not pass the vertical line test :)
Which of the following statements are true based upon the given I I information
Answers
Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound W 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. Part a. Round the prices to the nearest whole dollar to estimate how much money she spent. Part b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Answers
Answer:
For part B
Step-by-step explanation:
($1.75*5 pounds of apples)+($2.35*4 pounds of oranges)+($1.50*3 pounds of bananas) = $8.75+$9.40+$4.50 = $22.65
Overestimation
Answer:. the estimate would be 52 dollars
the actual number would be 48.25 dollars
(1.75*5)+(8.75*4)+(1.50*3)=48.25
(2*5)+(9*4)+(2*3)=52
it was an over estimate
when working with Money you round up so you make sure you are not short on change or something along the lines of that, hopes this helps:) tell me if you need a further explanation
7. Mao counts by fives to 30. Alana counts by tens
to 40. Who will say more numbers? Explain.
Answers
Answer:
Mao will say more numbers.
Step-by-step explanation:
Think about it like this, 5x6=30 Mao will be saying 6 numbers
10x4=40... Alana will be saying 4 numbers.
I need help with this
Answers
Answer:
ul and lw
Step-by-step explanation:
it is very easy answer there is no need of explanation for this answer
Which statememt best describes the value of .[tex]8[/tex]
Answers
Answer:
if you have rational value then 4/5, this is equal to .8
What is 8.038 X 10^8 in standard form (8.EE.A.4) also I have to type my answer
Answers
Answer:
803,800,000
Step-by-step explanation:
8.038 x 10^8
8.038 x 100,000,000
803,800,000
Hope you understand the answer. Have a great day!
Least common multiple of 168 and 76
Answers
Answer:
Best to draw out a factor tree.
Answer:
3192
this is the answer but if you need to show work then I can't help ya bud
each face of a cube is a square with a side length of 7 inches what is the total area off all the faces of the cube
Answers
Explanation:
A = L*W
In a square, all side lengths are equal.
A = 7*7
A = 49 square inches
^^^this is the area of one face of the cube
A cube has six faces, so multiply that value by 6.
49 * 6 = 294 square inches
Amy is training for a half marathon. in practice, she runs 2 miles in 15 minutes. If she continues at the same rate, how many miles will she run in 1 hour?
A. 4
B. 8
C. 16
D. 30
Answers
Step-by-step explanation:
B. 8
she will run for 8 miles,
stepfind Amy's speed
convert the minutes into hours by dividing by 60
[tex] \frac{2}{15 \times \frac{1}{60} } \\ = 8 \: miles \: per \: hour[/tex]
find the number of miles ran by multiplying the speed by the time, ie
[tex]8 \times 1 = 8 \\ \: therefore \: the \: answer \: is \: \: 8 \: miles[/tex]
The mapping shows a relationship between input and
output values.
Input
Output
Which ordered pair could be removed to make this
relation a function?
0 (-5,0)
0 (-1, -3)
(4.-2)
(6.-1)
-5
2
-3
up N Ţ to
-1
ī p q no
-2
4
2
6
Answers
Answer:
(4,-2)
Step-by-step explanation:
What is the product?
(2x - 3)(4x + 5)
A. 8x^2 - 15
B. 6x + 2
C. 8x^2 - 2x - 15
D. 8x^2 - 2x + 15
Answers
Answer:
C
Step-by-step explanation:
(2x-3)(4x+5)
=2x(4x+5)-3(4x+5)
=8x^2+10x-12x-15
=8x^2-2x-15
2x(4x+5)-3(4x+5)
8x^2 + 10x - 3(4x+5)
8x^2 + 10x - 12x - 15
8x^2 - 2x - 15
Please help me help please help
Answers
Answer:
-2
Step-by-step explanation:
2/(-1) = -2
rise is 2
run is -1 ( to the left)
X= - 3/4Y -5. Please put this in slope intercept.
Answers
y = - 4/3 x - 20/3
Step-by-step explanation:
x = - 3/4 y - 5 Move Terms
3/4 y = - 5 - x Divide both sides
y = - 20/3 - 4/3 x Reorder the terms
y = - 4/3 x - 20/3
Hint :- The slope intercept form of the line is [tex] y = mx + c [/tex] , where m is the slope of the line and c is y intercept .
Solution:-
Given equation to us ,
[tex]\implies x = \dfrac{-3}{4}y -5 [/tex]
Multiply both sides by 4 ,
[tex]\implies 4x = -3y -20 [/tex]
Add 20 to both sides ,
[tex]\implies 4x +20 = -3y [/tex]
Divide both the sides by -3 ,
[tex]\implies \dfrac{-4}{3}x-\dfrac{20}{3}= y [/tex]
Flip the equation ,
[tex]\implies y = \dfrac{-4}{3}x-\dfrac{20}{3} [/tex]