Answers
Answer:
option C.
Step-by-step explanation:
If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.
The equation for average rate of change is -
Δx/Δf =
f(x2) - f(x1) / x2 - x1
Answer:
C k(x)
Step-by-step explanation:
The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:
[tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]
__
simplificationHere, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.
amount of changeA. j(2) -j(0) = 3(1.6²) -3 = 4.68
B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5
C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change
D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5
solutionThe function k(x) has the greatest average rate of change over the interval [0, 2].
Related Questions
express x^2 +4x-7 in the form (x+a)^2 -b where a and b are integers
Answers
[tex]x^2+4x-7=x^2+4x+4-11=(x+2)^2-11[/tex]
What are the endpoint coordinates for the midsegment of △BCD that is parallel to BC¯¯¯¯¯?
Enter your answer, as a decimal or whole number, in the boxes.
( , ) and ( , )
Answers
Answer:
(3,3) (-1,-3), you just have to look at the coordinates
jackie brought 9 plants
Answers
Answer:
t+s = 9
4t+9s=51
tulips and succulents combined is 9 plants
the amount of money they have combined is $51
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
Answers
Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
What is an Equation ?Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.
It is given that
Let p represent the original number of plants in her garden.
then total number of plants in her garden = p³ +2
the total number of plants if p = 3 is
=3³ +2
= 29
p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
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Hi, so I know the answer to this problem (now that I got it wrong) but I'm not quite sure why I was wrong, help?
Answers
2x² + 2x + ? = x
⇒ ? = x - 2x² - 2x
⇒ ? = -2x² - x
Your answer is incorrect because 2x² - x² would mean x² is part of the answer, which is clearly incorrect.
Which two activities are examples of data collecting?
A. Using the results of a race to predict who will win future races
B. Weighing dogs
C. Graphing the lengths of fish in a pond
D. Asking people what their favorite show is
Answers
Answer:
C and D.
Step-by-step explanation:
In option C, they are collecting data about the lengths of fish in a pond.
In option D, they are collecting data about people's favorite show.
Hope this helps!
If not, I am sorry.
Given the expression 3(4²) + 4 + 16-9, which operation would you perform first?
A. 3x4
B. 4²
C. 4+ 16
D.
16-9
Answers
Answer: 4²
Step-by-step explanation:
There is some rule but just remember:
1. parenthesis
2. exponents
3. division/multiplication
4. subtraction/addition
The sum of 16 and a number is less than 24. Which of the following inequalities
expresses the solution?
Answers
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The complete question is:
The sum of 16 and a number is less than 24. Which of the following inequalities expresses the solution?
x<8
x>8
x=8
x<-8
Given the sum of 16 and a number is less than 24. Let the number be represented by x, therefore,
16 + x < 24
x < 24 - 16
x < 8
Hence, the correct option is A.
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To solve the equation ‐2x + 5 = 9 for x, what operations must be performed on both sides of the equation in order to isolate the variable x?
Answers
Answer:
b.) Subtracting 5 then dividing both sides by -2
Step-by-step explanation:
Given expression:
⇒ -2x + 5 = 9
To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.
When done so:
⇒ -2x = 9 - 5
⇒ -2x = 4
⇒ -2x/-2 = 4/-2
⇒ x = -2
If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function
Answers
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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Noah has just purchased a previously owned home. he put $5,000 towards a down payment and took out a $65,000 mortgage. noah knows that his older home will need maintenance right away and wants to budget enough for this coming year for unexpected expenses. when estimating costs for home repair and maintenance, a good estimate is to budget 1% of the purchase price of a house. what would be a good yearly estimate of repairs and maintenance for noah’s home? a. $1550 b. $700 c. $650 d. $150
Answers
Given a=b+c2d solve for c
Answers
Step-by-step explanation:
rewrite the equation as follows
c2d = a - b
divide both sides by 2d
c = (a - b)/2d
These points are linear.
Find the slope.
x
012345
y 3 6 9 12 15 18
slope = [?]
Answers
Answer:
Step-by-step explanation:
Evaluate.
{3−[−4−(6+2)]}⋅(−5)
A−75
B−57
C−15
D−9
Answers
Step-by-step explanation:
please mark me as brainlest
Step-by-Step Explanation:
= {3 - [-4 -(6 + 2)]}(-5)
= {3 - [-4 -(8)]}(-5)
= {3 - [-4 -8]}(-5)
= {3 - [-12]}(5)
= {3 + 12}(5)
= 15(5)
= 15 * 5
=> 75
In a 19 sided polygon what is the sum of the exterior angles ??
Answers
Answer:
the sum of all exterior angle is 360 degree
Select the statement below that correctly describes the relationship between the number of workers and the hours that they work.
Answers
Less workers = more hours
OR the answer might be worded as
More workers = less hours
The height of a tank is 3 meter and volume is 12 million centimeters. find the area of the square base of the tank in square meters
Answers
Answer:
75
Step-by-step explanation:
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answers
Answer:
c = 68 m
Step-by-step explanation:
Pythagorean theorem:To find the hypotenuse 'c' use Pythagorean theorem
hypotenuse² = base ² + altitude²
c² = 60² + 32²
= 3600 + 1024
= 4624
[tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]
Make u the subject formula
Please help
X=4uy/M
Answers
Answer:
[tex]\frac{XM}{4y}=u[/tex]
Step-by-step explanation:
First, multiply both sides by M.
X M = 4uy
Now, divide both sides by 4y.
[tex]\frac{XM}{4y} =\frac{4uy}{4y}[/tex]
Therefore,
[tex]\frac{XM}{4y}=u[/tex]
Period of y = negative 2 sin x
Answers
It has a period of 2pi
the equation to find the period of a sin/cos function is
[tex]period = \frac{2\pi}{b} [/tex]
y = -2 sin(x) has a normal period of 2pi because the b value in this equation isn't stated, making it equal to 1
the basic equation for a sin function is
[tex]y = a \: \sin(b(x - c) ) + d[/tex]
a bag has 6 green, 4 red, 5 yellow and 15 blue marbles what is the possibility that the marble is red or blue
Answers
Answer: 19/30 or about 63%
Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.
For what value of x is line m parallel to line n?
Answers
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Here, we can use an angle rule.
We see that angles [tex](8x+50)[/tex]° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.
This means we can use the rule:
Corresponding angles are equal.
This means that:
[tex]8x + 50 = 130[/tex]
We can now use this equation we have formed to solve for [tex]x[/tex]:
[tex]8x + 50 = 130\\8x = 80\\x = 10[/tex]
Therefore, our final answer is [tex]x=10[/tex].
Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
Answers
The reflection is written as:
[tex]g(x) = -3*(1.5)^x[/tex]
And the graph can be seen below.
How to get the graph of the reflection?
Here we have the function:
[tex]f(x) = 3*(1.5)^x[/tex]
A reflection across the x-axis is given by:
[tex]g(x) = -f(x).[/tex]
Then, replacing the function f(x) by the actual equation:
[tex]g(x) = -3*(1.5)^x[/tex]
The graph of the function g(x) can be seen below:
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PLEASE HELP ME ASAP!
Answers
Answer:
44.7 units of time
Step-by-step explanation:
Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.
It assumed d = t²*0.25 is the distance from the top of the building.
We know the height of the building is 500 meters.
We need to find the value of t, when d = 500 m:
0.25t² = 500t² = 500/0.25t² = 2000t = √2000t = 44.7 units of time (assumed seconds)In a right triangle, the larger pointed angle is four times larger than the smaller pointed angle.
What are your angles?
Answers
Answer:
The angles are 18° and 72°
Step-by-step explanation:
Finding the unknown angle
Let the smaller angle = x
The larger angle = 4*x = 4x
x + 4x = 90
5x = 90
x = 90 ÷ 5
x = 18
Smaller angle = 18°
Larger angle = 4*18 = 72°
1.) tel ephone number (type of data
Answers
The telephone number datatype is text or string
How to determine the datatype?The term is given as:
telephone number
A telephone number contains the following
DigitsBrackets (Optional)Hyphen (Optional)The optional parts of a phone number makes it difficult to use the numeric datatype for a phone number.
So, we make use of text or string datatype
Also, the phone number cannot be used in calculations.
Hence, the telephone number datatype is text or string
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Complete QuestionThe telephone number is what type of data
can someone please help me
Answers
Answer:
-6, 14, -26, 10x -4, -8x + -2x - 6
Step-by-step explanation:
So F(x) is setting that the values before the lines are equal to x and should be applied to the problem. Dont forget PEMDAS with these tho, they'll try to trick u like that.
So for the first one, f(0) you plug 0 where the x's are.
1.) 8(0)^2 +2(0) -6
0 + 0 - 6 = -6
2.) 8(2) +2(2) - 6
16+ 4-6= 20 - 6= 14
3.) 8(-2) + 2(-2) -6
-16 + -4 -6 = -26
On the ones where they leave the x there, you just have to leave the x. But don't forget distribution tho.
4.) 8(x+1) +2(x+1) -6
8x +8 + 2x + 2 -6
10x +10 -6 = 10x -4
5.) 8(-x) + 2(-x) -6
-8x + -2x -6
Step-by-step explanation:
the given function is f(x) = 8x² + 2x -6
f(0) = 8(0)² + 2(0) -6 = -6
f(2) = 8 (2)² + 2 (2) - 6 = 30
f(-2) = 8 (-2)² + 2 (-2) - 6 = 22
f (x+1) = 8(x+1)² + 2 (x+1) -6
= 8(x² +2x +1 ) + 2x -4
8x² + 16x +8 +2x -4 = 8x² + 18x + 4
f(-x) = 8(-x)² + 2 (-x) - 6
= 8x² -2x -6
You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′. Match each vertex of triangle A′B′C′ to its coordinates.
Answers
Answer:
The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).
Step-by-step explanation:
The gravitational force on a body falling towards the earth is directly proportional to the
mass of the body. The gravitational force on a body of mass 2 kilograms is 19.6 Newtons.
A. Write a direct variation equation relating the mass, y, and the gravitational force in
Newtons, y, on the falling body
Answers
The equation would be y = kx with k being a constant.
Direct variationAssuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.
Mathematically,
y = kx where k = constant.
If y = 19.6 Newtons and x = 2 kg, then
k = y/x = 19.6/2 = 9.8.
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Which is equivalent to
64 ^1/4?
O 24/4
O4
O 16
O 16/4
Answers
Answer: [tex]\sqrt[4]{64}[/tex]
Step-by-step explanation:
[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]
