16
fy
What is the rate of change of the function shown on the
graph? Round to the nearest tenth.
14
(2. 12.5)
12
10
O 2.00
O 2.50
O 5.25
O 10.50
8
6
(1,5)
4
(-1,0.8) 3 (0,2)
-4 -3 -2 -1
-2
4 x
-4
-6
Answers
Answer:
[tex]2.50[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-1,0.8)[/tex]
[tex](x_2,y_2) = (0,2)[/tex]
[tex](x_3,y_3) = (1,5)[/tex]
[tex](x_4,y_4) = (2,12.5)[/tex]
Required
The rate of change (b)
The above graph is represented as:
[tex]y = ab^x[/tex]
For: [tex](x_2,y_2) = (0,2)[/tex];
We have:
[tex]y = ab^x[/tex]
[tex]2 = a * b^0[/tex]
[tex]2 = a *1[/tex]
[tex]2 = a[/tex]
[tex]a = 2[/tex]
For [tex](x_3,y_3) = (1,5)[/tex],
We have:
[tex]y = ab^x[/tex]
[tex]5 = a * b^1[/tex]
[tex]5 = a * b[/tex]
Substitute [tex]a = 2[/tex]
[tex]5 = 2 * b[/tex]
Divide by 2
[tex]2.5 = b[/tex]
[tex]b = 2.5[/tex]
Hence, the rate of change is 2.50
Related Questions
The drama club is running a lemonade stand to raise money for its new production. A local grocery store
donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water
sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students
can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover
the cost of renting costumes? Justify your answer.
Answers
Answer:
Part A
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of bottles of water the student must sell ≥ 192 bottles of water
Step-by-step explanation:
The given parameters are;
The selling price of each can of lemonade = $2.50
The selling price of each bottle of water = $1.25
The amount of money the club needs to raise = $600
The maximum number of cans and bottles the students can accept = 460
Part A
Let 'x' represent the number of cans of lemonade the students accept, and let 'y' represent the number of bottles the student accept, the system of inequalities that can be used to represent the situation can be presented as follows;
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of cans of lemonade the club sells, x = 144
The number of bottles of water the student must sell to cover the cost of costumes, 'y', is given from the second inequality as follows;
2.5 × 144 + 1.25·y ≥ 600
1.25·y ≥ 600 - 2.5 × 144 = 240
1.25·y ≥ 240
y ≥ 240/1.25 = 192
y ≥ 192
The number of bottles of water the student must sell = 192 bottles of water
Why are 1997 pennies worth almost twenty dollars
Answers
Answer: Most 1997 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1997 penny with no mint mark and the 1997 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade. unless you have an very rare 1997 penny thats then when it would become worth 20$
The area of the triangle is 42 square inches. Determine the length of the height, by applying the formula of area of triangle.
Answers
Answer:
The answer is height=7
Step-by-step explanation:
Formula needed for this problem is Area= Base times Height divided by 2.
The first step to solving this problem is to do the exact opposite of this formula. since we already know the area we will multiply that by two to get 84. Then 84 will be divided by 12 to get 7. If anything confuses you on this problem please feel free to ask!
Which of the following is a solution to the quadratic equation below?
X2 + 14x +45=0
O A. 4
O B. -9
O C. 15
O D. 59
Answers
Answer:
B. -9
Step-by-step explanation:
X² + 14x +45=0
(x+9)(x+5)=0
x = -9 or x = -5
x = -9 is the answer
Answer:
B. -9
Step-by-step explanation:
X^2 + 14x +45=0
Factor
What two numbers multiply to 45 and add to 14
5*9 = 45
5+9 = 14
(x+5)(x+9) = 0
Using the zero product property
x+5 =0 x+9=0
x+5-5 =0-5 x+9-9 = 0-9
x = -5 x=-9
What is the measure of
Answers
Answer:
PRQ = 86 degrees
Please help! I'll give brainliest
Answers
Answer:
Step-by-step explanation:
We need a system of equations to help us solve this. One of the equations in the system is about the number of cultures bought, and the other one is about the money spent on the cultures. They are 2 very different things!
The #'s equation says that the number of cultures (c) plus the number of vials (v) totaled 57. The equation that puts that together is
c + v = 57
Now for the money part. Each culture costs $8, so the expression for that is 8c; each vial costs $1, so the expression for that is 1v; we know the amount of money spent in total was $106. The equation for that is
8c + 1v = 106
There's our system. 2 unknowns need 2 equations. Go back to the first one and solve it for either c or v. I'll solve for c, just because:
c = 57 - v. Now sub that value for c into the money equation:
8(57 - v) + v = 106 and
456 - 8v + v = 106 and
-7v = -350 so
v = 50. There are 50 vials of fruit flies. To find c, plug that into the first equation:
c + 50 = 57 so
c = 7.
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?
students
Answers
Answer:
The answer is 74
Step-by-step explanation:
First you need to find the number of student in total so just multiply 26 by 3 which is 78.
Then after since there are 4 students absent subtract 4 from 78 which is 74.
XYZ is a right triangle Angle z is a right angle, XZ=10 YZ= √60 What is XY
Answers
Answer:
XY = [tex]4\sqrt{10}[/tex]
Step-by-step explanation:
Hope this helps u !!
36 -5x = 7x +48
Which value of x makes the equation true?
Answers
Answer:
[tex]x=-5\frac{1}{3}[/tex]
Step-by-step explanation:
36 - 5x = 7x + 48
3x - 5x + 5x = 7x + 5x + 48
3x = 12x + 48
3x - 12x = 12x - 12x + 48
- 9x = 48
- 9x ÷ - 9 = 48 ÷ - 9
[tex]x=-5\frac{1}{3}[/tex]
-12x=12
X=-1
Can someone plz help me plz and thank u
Answers
I divided by 4 because it’s 1/4 of a cylinder
how do i solve this
[tex] {x}^{6} [/tex]
Answers
Answer:
You did give anything to solve
Step-by-step explanation:
x⁶ is just a single term
If you had posted an equation like
x⁶ = 64
Take the cube root of both side
x² = 4
Take the square root of both sides
x = ± 2
the area of a triangle is 84cm,if the base is 14cm. find the height
Answers
Answer:
12
Step-by-step explanation:
(B x H)/2 = Area
do the inverse of this with the answer to find the result
84x2 = 168
168/14 = 12
H = 12
Answer:
[tex]height=12cm[/tex]
Step-by-step explanation:
[tex]height=2*area/b[/tex]
[tex]height=2*84/14[/tex]
[tex]height=2*6[/tex]
[tex]height=12cm[/tex]
hope this helps.....
Someone help me please
Answers
Answer:
This is the answer48 cm²
Answer:
A = 44 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
We require to find the missing segment of b₁
Using the tangent ratio in the right triangle
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{adjacent}[/tex] = 1 , so
adjacent = 4
Then
b₁ = 4 + 8 + 2 = 14 , b₂ = 8 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²
The following table represents the number of tickets purchased at a movie theatre and the cost of purchase.
# of Tickets Cost
2
$12
4
$24
6
$36
8
$48
The number of tickets purchased varies directly with the total cost of the purchase. Determine the constant of variation.
$24.00
$0.17
$12.00
$6.00
Answers
Answer:
$6.00
Step-by-step explanation:
# of tickets is going up by 2
cost is going up by 12
12 / 2 = 6
contruct triangle LMN with LM=6cm,MM=9cm and LN =5cm
Answers
Answer:
LNM are quations the answer
Step-by-step explanation:
L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90
फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation,
Answers
Answer:
you nepali me nepali all are nepalese nepalese are only unintelligent
can I have help and pls don't answer if you don't know
Answers
Answer:
I think its A
Step-by-step explanation:
Consider the linear function that is represented by the equation Y =-10x+6 and the linear function that is represented
by the equation Y-36 = 8(x-4). Which statement is correct regarding their slopes and y-intercepts?
O The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.
O The function that is represented by the equation y=-10x+6 has a steeper slope, and the function that is
represented by the equation Y-36 = 8(x-4) has a greater y-intercept.
O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope, and the function that is
represented by the equation Y = -10x+6 has a greater y-intercept.
O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope and a greater y-intercept.
Answers
9514 1404 393
Answer:
(a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept
Step-by-step explanation:
If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.
The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.
The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.
The appropriate description of the two lines is ...
The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept
Question 2
What are the lengths of AD, DB, AE, and EC? Measure and record them.
Answers
is there a picture of a graph or chart or something?
Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 222 classical songs, 131313 rock songs, and 555 rap songs on it.
What is \text{P(rock song or rap song})P(rock song or rap song)start text, P, left parenthesis, r, o, c, k, space, s, o, n, g, space, o, r, space, r, a, p, space, s, o, n, g, end text, right parenthesis?
Answers
ANSWER
0.9
Step-by-step explanation:
no.of favourable outcome/no.of.possible outcome
13+5=18 favourable outcome and 20 possible outcome 18/20=0.9
Answer:0.9
Step-by-step explanation: khan academy
I also need help with this
Answers
Answer:
7 strips
Step-by-step explanation:
One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips
Debbie has 12 blooms on her lemon tree on the first day she thinks to check it. Each day after that, she notices 3 additional blooms. How many blooms does she have after one week?
Answers
Answer:
33 blooms
Step-by-step explanation:
This can be set up by an equation. x represents the number of days and y represents the number of corresponding blooms. y = 3x + 12 is the equation, as 3 is the rate of change and 12 is the initial amount. One week is 7 days, so 7 can be plugged in for x. 21 + 12 = 33, so after one week, Debbie has 33 blooms.
Please help me with these three questions...
I will be really thankful for help
Answers
Answer:
1. Terminating
2. 60
3. I don't know
Step-by-step explanation:
Pls help me no files just type it in thank you<333
Answers
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Number of kids playing soccer = 8 , Number of kids playing basketball = 16. Total number of kids at the park = 8 + 16 = 24. Now , divide 24 by 2 , you'll get 12 and that's your final answer.[tex] \boxed{ \boxed{ \large{ \tt{۵ \: OUR \: FINAL \:ANSWER : \underline{ \tt{12}}}}}}[/tex]
-Yey! We're done ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
(6) Five men and four women play in a softball team.
Their names are put into a hat and two people are randomly selected to co-captain the
2
(1)
Copy and complete the probability tree diagram in your answer booklet.
First Captain
Second Captain
Male
Male
9
Female
Male
Female
9
Female
2
Calculate the probability that there will be at least one female captain.
2
(iii) Grant is one of the men on the team. He believes that he has a good chance of being
one of the co-captains.
Do you agree? Justify your answer.
Answers
Answer:
ANSWER IS 12
Step-by-step explanation:
what kinds of regular polygons can be used for regular tessellations? A. three-sided B. five-sided C. eight-sided D. six-sided
Answers
Answer:
three-sided and four-sided
Step-by-step explanation:
The kinds of regular polygons that can be used for regular tessellations are Three-sided.
What are the regular polygons?A regular polygon is a polygon that is direct equiangular and equilateral Regular polygons may be either convex or star.
here, we have,
We have to determine the,
What kinds of regular polygons can be used for regular tessellations.
We have given that,
A. Seven-sided B. Four-sided C. Five-sided D. Three-sided
we know that,
The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.
It is only with these three shapes that we can create a regular tessellation.
The kinds of regular polygons that can be used for regular tessellations are Three-sided.
To learn more about the regular polygons visit:
brainly.com/question/1592456
#SPJ5
can someone help me figure this out?
Answers
Answer:
Step-by-step explanation:
i dont know this I am sorry :(
Answer:
Tree C
Step-by-step explanation:
each of the charts/tables/paragraphs are talking about a different tree.
Tree A started with 5 inches, as it says.
Tree B started with 3 inches, as you can see under the 0 months.
Tree C, at the month 0 mark, has a height of 10 inches, so it started with 10.
10>5 and 10>4, so Tree C is the biggest
Math 2 5.3 Triangle worksheet 1-8
Answers
1) m<DCB = <D + <C + <B
180 = 25 + 90 + <C (Angle Sum Property)
180 = 115 + <C
180 - 115 = <C
65 = <C
How would you describe the channel of distribution for Coke using the BreakMate?
Answers
Answer:
Yes
Step-by-step explanation:
1. What
2. Even if that's an actual question, it doesnt make any sense
3. What
4. Even if that's an actual question, it's not math related
5. What
Calculate the book value of a new maxi taxi costing $44000 after 5 years if it depreciates each year by 13% a. $22,930.52 b. $21,930.52 c. $23,930.52
Answers
Answer:
A=$21930.52
Step-by-step explanation:
Given data
Principal =44000
Time =5years
Rate of depreciation =13%
The expression for the depreciation is
A=P(1-r)^t
Substitute
A=44000(1-0.13)^5
A=44000(0.87)^5
A=44000*0.4984209207
A=21930.52