The rate of change is in Y over the change in X.
Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.
X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)
The rate of change is 24 / 3 = 8.
The answer is 8 dollars per hour.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 = 78 ,
at 1 = 54
the change is 78 - 54 = 24.
X is the time the change from 4 to 1 = 3
The change is ( 4 - 1 = 3)
The rate of change = 24 / 3 = 8.
Therefore, The answer is 8 dollars per hour.
Learn more about the unitary method;
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for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve
Answer:
The sign of the coefficient determines the direction of where the graph opens.
Step-by-step explanation:
Given the quadratic equation, y = ax²:
The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.
If the value of a is negative (a < 0), then the graph of the parabola opens downward. If the value of a is positive (a > 1), then the graph of the parabola opens upward.
Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression z + 15 = ??
Answer: 21
Step-by-step explanation:
[tex]z+15=?\\[/tex]
Substitute the value of z into the expression:
[tex](6)+15=21[/tex]
Answer:
21
Step-by-step explanation:
have a good day
How would you convert 12.5% to a fraction?
Answer:
12.5% as a fraction is written as 25/2
Step-by-step explanation:
step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.
step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.
step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2
Write the slope-intercept form of the equation of the line that has slope -9 and passes
through the point (4,6).
Answer:
y = - 9x + 42
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 9 , then
y = - 9x + c ← is the partial equation
To find c substitute (4, 6 ) into the partial equation
6 = - 36 + c ⇒ c = 6 + 36 = 42
y = - 9x + 42 ← equation of line
If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)
Answer:
1.73
Step-by-step explanation:
1/8+3/4= ______________
Answer:
7/8
you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8
Answer:
The answer is 7/8.
Step-by-step explanation:
First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
y - 3 = -12(x - 5)
Step-by-step explanation:
This is what point slope form looks like:
y - y1 = m(x - x1)
(5, 3) is our known point, represented as (x1, y1).
Now, just plug in the given slope and point into the equation:
y - 3 = -12(x - 5)
Find the perimeter. Simplify your answer.
Explain how 20% can be different amount,
Answer:
As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.
Step-by-step explanation:
plz help need asap .............
Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)
Answer:
D=[tex]\sqrt{10}[/tex] or about 3.2 M=(1.5,-0.5)
Step-by-step explanation:
D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex] M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
Lets find the distance first:
D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]
D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]
D=[tex]\sqrt{9+1}[/tex]
D=[tex]\sqrt{10}[/tex]
D is about = 3.2
Lets find the midpoint now:
M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]
M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]
M= (1.5,-0.5)
Can someone help me with 15 and 16 Please!
With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY
Given the graph below, which of the following could be the quadratic equation?
A.
[tex]3(x + 2 {)}^{2} + 5[/tex]
B.
[tex] - {x}^{2} + 8x + 18[/tex]
C.
[tex] - 2(x - 3 {)}^{2} + 1[/tex]
D.
[tex] {x}^{2} - 8x + 18[/tex]
Needs to be answered quickly
Answer:
only D as the correct answer
Step-by-step explanation:
The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.
A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.
This leaves only D as the correct answer.
Consider the equation below.
-5n + 31 - 14n -
5–59 + 31 = –14n – 5
-
Select the equation that has the same solution.
-1 – 22n
20n – 9–1 – 22n = –20n - 9
0
1 = 0.75n + 3.251 = 0.75n + 3.25
In + 2 = −3+ min + 2 =
3 + 1
3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n
Answer:
-1 - 22m
Step-by-step explanation:
What is the equation, in standard form, of a parabola that models the values in the table?
PLS HELP!!!
right answer is b
b. y= -3.5x^2-0.5x+4.5
what is 5/11 closest too
Answer:
__
0.45
__
__ means it's on-going, so 0.45454545
Solve the angles of this parallelogram
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
(5a-ab) (2ay-by)
[tex] {2}^2( {2}^{4 - ?}5 {} ){?} [/tex]
Answer:
a = 0
b = 5
y = 0
Step-by-step explanation:
A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.
Answer:
12 in.
Step-by-step explanation:
1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.
2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;
3. if to solve this quadratic equation, then
-x²+25x-136=0;
[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]
4. if x=3;12, then the sides are 12 and 3 and
5. finally, the largest side s1=12 inches.
PLEASE HELP!!! THE QUESTION IS DOWN BELOW
Answer:
Second box, fourth box, first box, and third box
Step-by-step explanation:
1st answer box because (13 - 3 / 2 * r) - (1 - r) = 13 - 3 / 2 * r - 1 + 2 / 2 * r thus being the first answer because of the "-" in the front so distribute the "-" with the 1 and - r
2nd answer box because (7r - 3 / 2) - (2 / 3 + 6r) = 7r - (9 / 6) - (4 / 6) - 6r same principle here.
3rd answer box because (6r + 7) + (13 + 7r) = 6r + 7 + 20 + 7r
4rd answer box because (- 8 - r) + (2r - 4) = - 8 - r + 2r - 4
Answer:
1. (6r+7)+(13+7r)=13r+20
2. (13 3/2)-(1-r)= 12-r
3. (-8-r)+(2r-4)= -12+r
4. (7r-3/2)-(2/3*6r)=r-13/6
Step-by-step explanation:
1. Move 7r next to 6r then you get 13r then just add 7+13 and you get 20 answer is 13r+20
2. Subtract 1 from 13 and you get 12 then you do the 3/2r and and the other r to it and you get 1/2r answer should be 12- 1/2r
3. Move then 4 next to the -8 and subtract you should get -12 then you solve -r+2r should get r and the answer is -12+r
4. Subtract 7r from 6r and you get r(1r) then you should subtract 3/2 and 2/3 and you get 13/6 and the answer is r-13/6
Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................
Answer:
Let the. length of 3rd side of a ∆ be x.
x>(8–6) cms. and. x <(8+6) cms.
or. x > 2 cms. and. x < 14 cms
or. 2 cms < x < 14 cm
Step-by-step explanation:
find the answer here
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
I scared of exam how do i do
Answer:
.
Step-by-step explanation:
Graph the line passing through (1,2) whose slope m= -1/3
[tex] \sf \: y = - \frac{1}{3} x + \frac{7}{3} [/tex]
hope it helps
Express as a power of 2
(2/root8)^3
[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]
A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1
Answer:
4.4 < x < 18.8
Step-by-step explanation:
11.6 - 7.2 = 4.4
11.6 + 7.2 =18.8
Does someone have the answer to this??? Thank You so much
Answer:
22
Step-by-step explanation:
Answer:
f(0)=22
Step-by-step explanation:
f(0)=13(2)^0+9
f(0)=13(1)+9
f(0)=13+9
f(0)=22
(any number raised to 0 is 1)
What is 4 percent of $128.72 ?
Answer:
124.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
4% of 128.72 = 0.04 * 128.72
= 5.1488
You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy?
Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?
Answer:6
Step-by-step explanation: