Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answers
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
Related Questions
The length of a swing is 2.1m if the length of the arch that is made by the swing is 4.4m calculate the angle swept by the swing
Answers
Answer:
The angle swept by the swing is 120 degrees
Step-by-step explanation:
Here, we are given the radius of the circle that makes the arc, and the length of the arc
Mathematically, we are to find the central angle
That would be;
The length of an arc is;
theta/360 * 2 * pi * r
theta is the central angle we are looking for and r in this case is 2.1 m
Thus, we have it that;
theta/360 * 2 * 22/7 * 2.1 = 4.4
theta = (360 * 4.4 * 7)/(2 * 22 * 2.1)
theta = 120 degrees
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a spade.
The probability of being dealt a spade is
Answers
Answer:
The probability of being dealt a spade is 13/52.
Step-by-step explanation:
(2N/6N+4) (3N+2/3N-2
Answers
Do you need all the process?
help me pls
5x^2-45=0
Answers
Step-by-step explanation:
5x²-45=05x²=45x²=9x=√9x=3hope it helps.
Answer:
x=±√9 or x= 3, x=-3
Step-by-step explanation:
The problem requires us to find the x.
So we must isolate the variable, as so-
[tex]5x^2-45=0\\5x^2=45[/tex] (add 45 to both sides)
Now we can divide both sides by -
[tex]5x^2=45\\x^2=9[/tex]
Now we must square root both sides to find the root of x.
[tex]\sqrt{x^2} =\sqrt{9}[/tex]
x=±√9
or x= 3, x=-3
Saw the following question on twitter, people were disagreeing and I wanted to see what u guys thought. What is the answer to the following problem?
6÷2(1+2)
Answers
Step-by-step explanation:
6/2(1+2)=6/2×3
=6/6
=1
The required answer for this question.
Write an expression that is equivalent to: -1/2(10 + 1/4)
Answers
Answer:
Step-by-step explanation:
-1/2(10 + 1/4)
10+1/4 = 41/4
Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction
-1/2(10.25)= -41/8 or 5.125
Find the value of x then find the angle measures of polygon
Answers
All the angles equals 360°.
The best way to find x without guessing is to add everything and make an equation.
x°-46°+x°+x°-35°+1/2x°=360°
Add like terms.
3 1/2x°-81°=360°
3.5x°=441
x=441/3.5
x=126
Find a volume okay thank
Answers
Answer:
125 cm^3
Step-by-step explanation:
Find THE volume of this cube of side length 5 cm:
Volume of a cube is V = s^3, where s is the side length.
Here, V = (5 cm)^3 = 125 cm^3
I need help on my math someone help me
Answers
Answer and Step-by-step explanation:
Definitions:
Obtuse - Angles that are greater than 90 degrees, but shorter than 180 degrees.
Acute - Angles that are less than 90 degrees but greater than 0 degrees.
Right - Angles that are exactly 90 degrees.
1. Obtuse
2. Right
3. Acute
4. Right
5. Obtuse
6. Acute
7. Obtuse
8. Acute
9. Right
#teamtrees #PAW (Plant And Water)
Cual es la potencia de base 3 que corresponde al producto 3 elevado a 3,3elevao a menos 2y 9 elevado a menos
Answers
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown, Round to the nearest tenths place.
12
Answers
Sharon is 3 years less than twice her younger brothers age. Let’s (s) represents Sharon’s age and (b) represent her brothers age
Which equation could be used to show Sharon’s age?
There is a picture of the answers
Answers
Answer:
C (s = 2b - 3)
Step-by-step explanation:
Sharon (s)
is (=)
Three years less (- 3)
Than twice her brothers age (2b)
Answer:
s = 2b - 3
Step-by-step explanation:
Sharon is 3 years younger than twice her younger brother's age.
the sum of two numbers is 30 the difference between three times the first number and twice the second is 60
Answers
Answer
Let the first no. be 2x
second no. =x
third no. =2x/3
A/Q
2x+x+2x/3=132
11x/3=132
x=36.
Hence the second no. is 36
let the first number be x
then second number=30-x
3x-2(30-x)=60
3x-60+2x=60
x=60+60
x=120
Write the following numbers in increasing order (list the smallest as #1 and the largest as #5)
7, √24, √36, 4.7, √18
dont put answer in file i have to download pls lol
Answers
Answer:
Square root of 18
4.7
square root of 24
square root of 36
7
Step-by-step explanation:
[tex]38+7·(x-3)=9·(x+1)[/tex]
Answers
[tex]38 + 7x - 21 = 9x + 9[/tex]
Combine like terms.
[tex]17 + 7x = 9x + 9[/tex]
Eliminate a x.
[tex]17 = 2x + 9[/tex]
[tex]8 = 2x[/tex]
[tex]x = 4[/tex]
38 + 7x - 21 = 9x + 9
7x + 17 = 9x + 9
Subtract both sides 9
7x + 17 - 9 = 9x + 9 - 9
7x + 8 = 9x
Subtract sides 7x
7x - 7x + 8 = 9x - 7x
8 = 2x
Divide both sides by 2
8 ÷ 2 = 2x ÷ 2
x = 4
PLEASE HELP
NO LINKS
Answers
Answer:
The first blank is $640.30
The second blank is 670
Step-by-step explanation:
all the angles in the angles in the figure are right angles and lengths are measured in centimeters. what is the area , in square centimeters, of the figure?
58
62
66
70
Answers
Answer:
62 square cm
Step-by-step explanation:
The whole rectangle 12X10 = 120
Now subtract 2 restangles:
5x8 =40
6x3 =18
30+18= 58
120-58 =62
Answer: 62
Step-by-step explanation:
ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality
Answers
Answer:
C. Subtraction property of equality
Step-by-step explanation:
(7 x6 )+(8x8)-5 gives the number of slicess were sold witch describe a part of this expression what's the sum
Answers
Answer:
"101" seems to the appropriate response. The further explanation is provided below.
Step-by-step explanation:
The given expression is:
⇒ [tex](7\times 6 )+(8\times 8)-5[/tex]
On solving the brackets, we get
⇒ [tex]42+64-5[/tex]
On applying addition, we get
⇒ [tex]106-5[/tex]
On applying subtraction, we get
⇒ [tex]101[/tex]
36^x-2=6 solve for x
Answers
Answer:
x = [tex]\frac{in (8)}{in (36)}[/tex] if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.
How do you do this pls I need help
Answers
Answer:
416 cm2
Step-by-step explanation:
The formula for surface area of prism.
2Ab+ Pb*h
2(1/2)(12)(8)+ 32*10
= 96+320
= 416 cm2
if my answer helps please mark as brainliest.
HELP ME AGAIN PLEASE....
Answers
Maybe the range .........
PLEASE HELP ME WITH MATHS
The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.
a) What is the diameter of bacteria species B in metres?
Answers
Answer:
1 × 10⁻⁹ mStep-by-step explanation:
A is 1 micrometer = 1 × 10⁻⁶ m
B is 1× 10⁻³ size of A:
1 × 10⁻⁶ * 1 × 10⁻³ = 1× 10⁻⁹ mNeed help with algebra fast plz it’s due in 2 hours and can work be included if not that fine I just want the answer
Answers
[tex] \binom{ 1/3}{-2/3} \binom{1/3}{-1/6} [/tex]
I need help with adding letters and numbers into the diagram
m
m
Answers
any combination would work out. the most common is x and y. or you may use f(x) and x.
what is the missing number for the problem bottom left cornerd
I WILL GIVE BRAINLIEST
Answers
Answer:
length = 10
Step-by-step explanation:
Volune = L W H
H=40
W=8
L=X
40*8*X = 3200
320 X = 3200
X = 10
Volume : 40 x 8 x10 = 3200
Can anyone solve for x? Please.
Answers
Answer:
[tex] \frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4[/tex]
which number is greater?
1. 0.9461
2. 0.9727
Answers
Answer:
0.9727
Step-by-step explanation:
its higher number
Alexandra paid \$7$7dollar sign, 7 to park her car for 333 hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between ppp, the number of hours parked, and ccc, the cost in dollars.
Answers
Answer:
c = 21 + k
Step-by-step explanation:
Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.
Let the constant = k
The relationship is written as:
c = p×h + k
P = cost of parking
h = Number of hours parked
c = $7 × 3 + k
c = 21 + k
Answer:
c=7/3p
Step-by-step explanation:
i did the other persons answer and got it wrong, so i kept doing the hints on khan and it said that
A magazine mailed a survey to 3,975 subscribers. Twenty-six percent of the subscribers answered the survey. About how many people answered the survey?