Which is the BEST estimate of the average rate of change for the function graphed, over the interval 1 sxs 3?
es)
A)
-2
B)
-3
D)
-6
Answers
Answer: -3
Step-by-step explanation: just multiply
The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
The interval given is 1 ≤ x ≤ 3.
The graph of the function is given below.
It can be clearly seen that,
The y value corresponding to x = 1 is y = f(1) = 2.
So one point on the graph is (1, 2).
The y value corresponding to x = 3 is y = f(3) = 8.
So the other point on the graph is (3, 8).
Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]
= [8 - 2] / [2]
= 6/2
= 3
Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.
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Related Questions
Rusty’s pizza has two family deals each Wednesday. The first family deal is $14.50 constant fee (which includes pizza and potato wedges) and $1.75 per beverage. The second family deal is a $10 constant fee and $2.50 per beverage. At how many beverages, b, will the family deals cost the same amount?
Answers
Answer:
8
Step-by-step explanation:
Answer:
14.50+1.75b=10+2.50b
will cost the same amount for 6 drinks
Step-by-step explanation:
Samantha created part of a table to show her savings. She saved at the same rate each week.
Samantha’s Savings
Week
1
2
3
4
Money Saved
$18
$24
Which graph shows this relationship?
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 8), (2, 16), (3, 18), and (4, 24) are plotted.
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 6), (2, 12), (3, 18), and (4, 24) are plotted.
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 9), (2, 18), (3, 18), and (4, 24) are plotted.
On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 0), (2, 9), (3, 18), and (4, 24) are plotted.
Answers
Answer:
I think b
Step-by-step explanation:
8. mABC
(20x - 15)
Β Α
Answer:
Answers
Step-by-step explanation:
20 X _15 = 5X +90
15 X =105
X= 7
< A = 35
<B = 55
HELP! HELP! I never learned to count to ten, so I’ll just count to five and then. 1, 2, 3, 4, 5 outside, and then I’ll go and count/look again!
Answers
Answer:
6,7 8, 9,10
Step-by-step explanation:
those are the numbers after 5 in order
Answer:
6,7,8,9,10
six,seven,eight,nine,ten
Step-by-step explanation:
Hope this helps!!
HURRY!!!! A summer camp is providing breakfast for 350 children that includes a 6 ounce serving of sausage per student. The camp can only purchase sausage in whole 1 pound packages. Note: 1 pound = 16 ounces? PLEASE I NEED HELP
Answers
Answer:
132 whole 1 pound packages.
Step-by-step explanation:
6 ounces times 350* equals 2100 ounces, so the summer cap needs 2100 ounces of sausage to feed all 350 children. We already know there are 16 ounces per pound. 16 x 131 equals 2096. Remember, it takes 2100 ounces to feed all 350 children. The summer camp will have to buy 132 packages to exceed 2100 without having additional whole packages.
*this number represents the amount of children
The camp needs to buy 132 packets of sausage to serve 350 students.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A summer camp is providing breakfast for 350 children that include a 6-ounce serving of sausage per student.
So, The total amount of sausages is,
= 6×350 ounces.
= 2100 ounces.
Also given, sausages come in 1 pound pack.
Therefore, The number of packets required is,
= (2100/16).
= 131.25 but they have to buy 132 packets.
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Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answers
Answer:
63
Step-by-step explanation:
21*3
Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays a annual bonus of $2,500 plus $100 per day worked.
120d + 1,500=100d+ 2,500
d=100
How much will Danae have earned on day 100 at either job?
A: 12,000
B:12,500
C:13,500
D:14,500
Answers
Answer:
It is both B and C, you simply just have to add 2 zeros behind both pays per day and then add the bonus
Answer:
The kid above me is wrong, it's C on edge
Step-by-step explanation:
nearly got it Wrong on Edge
Solve.
-11 2/3 × (-4 1/5) = ?
A) 49
B) -44 2/15
C) -49
D)-44 2/15
Answers
Answer:
the answer is C
Step-by-step explanation:
i just went over this question like just now
Chad and Eric left a 20% tip after having lunch at a restaurant. Chad's lunch cost $10. Which equation can you use to find x, the cost of Eric's lunch?
A) 0.2(x + 10) = 5
B) 0.2x = 10 + 5
C) 0.2x + 5 = 10
D) 0.2x + 10 = 5
Answers
Answer:
a i think it might be right
answer correctly for BL
Answers
Answer:
The height is 5 feet
H= v/b
Step-by-step explanation:
can yall help me with this:)
Answers
Answer:
x = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up Equation
Every angle must add up to 180°.
(6x - 6)° + 54° + 90° = 180°
Step 2: Solve for x
Combine like terms: 6x + 138 = 180Isolate x term: 6x = 42Isolate x: x = 73/4(3x+6)−14(5x−24) How do I solve this
Answers
Answer:
1362−271x/4
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3/4 * (3x+6))-14*(5x-24)
STEP 2 :
Simplify 3/4
Equation at the end of step 2 :
3
(— • (3x + 6)) - 14 • (5x - 24)
4
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x + 6 = 3 • (x + 2)
Equation at the end of step
4
:
9 • (x + 2)
——————————— - 14 • (5x - 24)
4
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
14 • (5x - 24) 14 • (5x - 24) • 4
14 • (5x - 24) = —————————————— = ——————————————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
9 • (x+2) - (14 • (5x-24) • 4) 1362 - 271x
—————————————————————————————— = ———————————
4 4
Final result :
1362 - 271x
———————————
4
Jean picks peaches during her summer vacation. She gets paid $0.60 for each pound of peaches picked. Jean averages 45 pounds per hour.
a. How much can Jean earn in 16 hours?
b. How many hours would it take for Jean to earn $990?
Answers
B.It takes Jean 36.6
7 + 13а – 3- 20 + 2а
Answers
7 + 13а – 3- 20 + 2а
combine like terms
7+13a+2a-3-20
7+15a-3-20
then do -3-20
-3-20=-23
7+15a-23
7-23=-16
15a-16
answer:
15a-16 or -16+15a
2x -14 = -9 answer for this equation
Answers
Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way
Step-by-step explanation: Move all terms that don't contain
x
to the right side and solve.
Answer:
x= 2.5
Step-by-step explanation:
Simplifying
2x + -14 = -9
Reorder the terms:
-14 + 2x = -9
Solving
-14 + 2x = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2x = -9 + 14
Combine like terms: -14 + 14 = 0
0 + 2x = -9 + 14
2x = -9 + 14
Combine like terms: -9 + 14 = 5
2x = 5
Divide each side by '2'.
x = 2.5
Simplifying
x = 2.5
Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly.
Answers
Answer:
Option (C) is correct.
Step-by-step explanation:
The given options of the possible equation for the graph are as follows:
[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]
The given graph is decreasing and at x=0, y=2.
So, first checking the value of the given options for x=0
[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]
As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.
Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.
For option (A),
[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]
As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}>0[/tex]
Therefore, the function in option (A) is increasing function.
Similarly, for option (C),
[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]
As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}<0[/tex]
Therefore, the function in option (C) is decreasing function.
As the given graph is decreasing, so, (C) represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.
Hence, option (C) is correct.
The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.
We have to determine, Which of the following equations could be the equation to represent the given graph.
According to the question,
The given options of the possible equation for the graph are as follows:
[tex](A)y = 2(\frac{3}{2})^x[/tex] [tex](B)y = -2(\frac{3}{2})^{-x}[/tex] [tex](C)y = 2(\frac{2}{3})^{x}[/tex] [tex](D)y = -2(\frac{2}{3})^{-x}[/tex]The given graph is decreasing and at x = 0, y = 2.
Then,
First checking the value of the given options for x = 0.
[tex](A)y = 2(\frac{3}{2})^x = 2(\frac{3}{2})^0 = 2 \times1 = 2[/tex] [tex](B)y = -2(\frac{3}{2})^{-x} = (A)y = -2(\frac{3}{2})^{-0} = -2 \times 1 = -2 (not \ possible)[/tex][tex](C)y = 2(\frac{2}{3})^x = 2(\frac{2}{3})^0 = 2 \times1 = 2[/tex] [tex](D)y = -2(\frac{2}{3})^{-x} = -2(\frac{2}{3})^{-0} = -2 \times1 = -2 (not \ possible)[/tex]For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.
Therefore,
To check the nature (increasing or decreasing) of the given equation by differentiating it.
For function A;[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]
Therefore, The function in option A is increasing function.
For function c;
[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]
Therefore, The function in option c is decreasing function.
The given graph is decreasing, so, the function c represents the given graph decreasing.
Hence, option (C) is correct.
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identify the angles that each have a measure of 88
Answers
Answer:
∠1=∠88(Vertically Opposite angles are equal)
∠8=∠88(corresponding angles are equal)
∠3=∠88(alternate interior angles are equal
Angles ∠1, ∠3 and ∠8 are equal to 88°.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Angle 1 and 88 are the vertically opposite angle, so they are equal
∠1 = 88°
Angle 1 and angle 3 are corresponding angle, so they are equal
∠1 = ∠3 = 88°
Angle 3 and 8 angle are vertically opposite angle, so they are equal
∠3 =∠8 = 88°
Therefore, ∠1 = ∠3 = ∠8 = 88°
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FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping.
The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores.
For what total cost are the number of toppings the same at both stores?
Answers
Answer:
3 toppings for a total of $6.50
Step-by-step explanation:
Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...
F = 5.75 + 0.25x
B = 2.75 + 1.25x
Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...
5.75 + 0.25x = 2.75 + 1.25x ... subtract 2.75 and 0.25x on both sides
3 = 1x ... divide both sides by 1
3 = x
Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50
1. You make a long distance telephone call. The rate is $.10 for each minute. The total cost
of the call is $5.00. How long was the call? Check to see if your solution is reasonable.
Answers
The time which takes the call is $5.00 with the given ratio is 50 minutes.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Given that,
$0.10 for 1 minute
The ratio of time to cost = 1/0.10 = 10
Let's say the time taken in $5 is x minutes
The ratio of time to cost = x/5
x/5=10
x = 50 minutes
Hence "The time which takes the call is $5.00 with the given ratio is 50 minutes".
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Is the relationship a function yes or no?
Answers
Answer:
no because 3x nothing equals 14 and 4x nothing equals 18
hope this helps plz mark brainliest
Step-by-step explanation:
if the volume of a cube is 64 cm cube then find its total surface area
Answers
Answer:
tsa
Step-by-step explanation:
tsa of cube is 6a²
so
64cm²=6a²
Answer:
96 cm²
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the side length )
Here V = 64 , thus
s³ = 64 ( take the cube root of both sides )
s = [tex]\sqrt[3]{64}[/tex] = 4
A cube has 6 congruent square faces.
The area of 1 face = s² = 4² = 16 cm², thus
area of 6 faces = 6 × 16 = 96 cm² ← surface area
in having trouble can someone help me please
Answers
Answer:
-19
Step-by-step explanation:
Input -6 for n and solve: 3(-6)-1
Answer:
-19
Step-by-step explanation:
3 (-6) - 1 = -19
3) Given the quadratic equation -x2 +3x -7=0, determine a, b, and c values.
a=
b=
c=
Answers
Answer:
a= -1
b= 3
c= -7
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Step-by-step explanation:
I’ll name brainliest
Answers
Answer:
5.25
Step-by-step explanation:
I think I'm not sure
Answer:
-5.25
Step-by-step explanation:
It is 5.25 because in between a number and another number there is a decimal and since there is 4 spots in between those 2 numbers it becomes 25 4 times so therefore, -5.25.
PLEASE HELP WITH THE 2
Answers
Answer:
ok good luck jsjsksksksksks
Answer:
y=32
Step-by-step explanation:
45+z+y=180
z=103 by the exterior angle theorem
45+103+y=180
148+y=180
y=32
A study of population of 1200 frogs revealed that 12 out of every 180 frogs in the population have spots on there back based on the results if this study how many frogs do not have spots on there back
Answers
Answer:
1176 doesn’t have spots on their back
Step-by-step explanation:
Divide
1200/180
=you’ll get about 6.66 or just round to 7
12*7=84
1200-84
1176
1176 doesn’t have spots
NEED HELP ASAP I WILL MARK YOU BRAINLIST
Answers
Answer:
The correct answer is: Option H: 14.4 units
Step-by-step explanation:
CD is a line segment and let M be the mid-point of the line segment.
As we know that a mid-point divides the line in two equal parts, this means that the length of line segment will be the double of distance between one end and mid-point
Given
C( 2,-1) => (x1,y1)
M(8,3) => (x2,y2)
The distance formula is given by:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values
[tex]|CM|= \sqrt{(8-2)^2+(3-(-1))^2}\\|CM| = \sqrt{(8-2)^2+(3+1)^2}\\= \sqrt{(6)^2+(4)^2}\\=\sqrt{36+16}\\=\sqrt{52}\\= 7.211[/tex]
We know that
[tex]CD = 2CM\\CD = 2 * 7.211\\CD = 14.422\\CD = 14.4[/tex]
Hence,
The correct answer is: Option H: 14.4 units
a researcher is studying the effects of playing chess on memory improvement. he identifies 50 people who play chess and 50 people who do not. each of the 100 people is given a questionnaire designed to determine memory level. none of the 100 people who participated in the study knew they were part of a study. which statement is true.
Answers
Answer:
Observational study
Step-by-step explanation:
Just took the test
WILL NAME BRAINLEST ONGGG
Answers
Answer:
yes
Step-by-step explanation:
because they are all faced up and not touching each other
I need help with this (2 parts so 20 points)
Answers
Answer: C
Step-by-step explanation: Something Something Of math
