the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
Answers
Answer:
Between x = 48 and x = 45.
Step-by-step explanation:
Average rate of change of a function in the given interval is represented by,
Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]
From the table attached,
Average rate of change of the function between x = 3 and x = 9
= [tex]\frac{16-7}{9-3}[/tex]
= 3
Average rate of change in the interval x = 9 and x = 22
= [tex]\frac{32-16}{22-9}[/tex]
= [tex]\frac{16}{13}[/tex]
= 1.23
Average rate of change in the interval x = 9 and x = 22,
= [tex]\frac{45-32}{45-22}[/tex]
= [tex]\frac{13}{23}[/tex]
= 0.57
Average rate of change in the interval x = 45 and x = 48,
= [tex]\frac{63-45}{48-45}[/tex]
= 6
Therefore, average rate of change is maximum between x = 45 and 48.
Option given in bottom right will be the answer.
Related Questions
this is an assignment for my son who is having trouble doing the steps to solve these math problems.
Answers
Answer:
B, C, B, A, B
Step-by-step explanation:
Recall soh cah toa
sin - > soh sin(ANGLE) = opposite/hypotenuse
cos -> cah cos(ANGLE) = adjacent/hypotenuse
tan -> toa tan(ANGLE) = opposite/adjacent
(letters correspond)
7) They ask for sinX, meaning we need to apply soh
sinX = opposite/hypotenuse
sinX = 30/34 = 15/17
B
8)
tan(ANGLE) = opposite/adjacent
tanZ = 12/35
C
9)
cos(ANGLE) = adjacent/hypotenuse
cosZ = 36/45 = 4/5
B
10 + 11 are attached. Hopefully, you understand. Have a nice day :)
Which measure is equivalent to 126 in.?
1 ft = 12 in.
1 yd = 3 ft
Answers
Answer:
3.5 yd is your answer
Step-by-step explanation:
First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.
Divide the amount of inches you have with 12.
126/12 = 10.5
Next, solve for yards. It is given to you that 1 yard = 3 feet.
Divide the amount of feet you have with 3.
10.5/3 = 3.5
3.5 yd is your answer
pls tell meeeeeeeeeeeeee
Answers
832 divided by 12
i also have to show my work in 2 different ways
Answers
Answer: 69
Step-by-step explanation:
duhhhhhhhhhhhh
ASAP!!! PLEASE HELP
10 points
Answers
If f(x) = (1\7)(7x), what is f(3)?
Answers
Answer:
3
All the steps are in the picture below.
HELP MEEEE
Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.
Answers
Answer:
p = -4.33636363636
Step-by-step explanation:
subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636
Which set of ordered pairs represents a function?
o{(1,3) (2,5) (4,9) (4, 13)}
o{(1,3) (1,5) (4, 9) (6,3)}
o {(1, 3) (2,5) (2, 9) (6, 13)}
O {(1,3) (2,5) (4, 9) (6,5)}
Answers
Answer:
The answer is D
Step-by-step explanation:
Write thirty divided by five 3 ways
Answers
Answer:
30 divided by 5
[tex]\frac{30}{5}[/tex]
5⟌30
Hope this helps!
aaaaaaaaaaaaaaaaaaaaa
Answers
Answer:
A. 7^4
Step-by-step explanation:
When dividing exponents or monomial, you just basically subtract the exponents to get your answer.
Answer:
i think the answer is B, [tex]7^{12}[/tex]
Step-by-step explanation:
sorry if wrong, Hope it helps!
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the
same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita's Drive
y
(4, 288)
280-
Roger's Drive
240
Time (hr)
Distance (mi)
(3,223)
200-
1
65
160-
• (2, 158)
2
130
Distance (mi)
120-
3
195
(1,93)
80-
4.
260
40-
0
0
Time (hr)
Who Had the head start?
Answers
Answer:
hello your question is poorly written and the required options to the question is missing
options :
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Answer : Rita had a 28-mile head start
Step-by-step explanation:
From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles
Answer:
a
Step-by-step explanation:
edge 2021
a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves
Answers
Answer:
8.49 per pair/pack of gloves
Step-by-step explanation:
i got this by taking 33.96 divided by 4 so i could find out how much for one pair
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
Answers
Answer:
The midpoint of the points (2,8) and (0,4) is given by:
(
2
x
1
+x
2
,
2
y
1
+y
2
)=(
2
2+0
,
2
8+4
)=(
2
2
,
2
12
)=(1,6)
We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
−3x+6y=5 (Subtract 3x on both sides.)
6y=3x+5 (Divide both sides by 6.)
y=
6
3
x+
6
5
y=
2
1
x+
6
5
The slope of our first line is equal to
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is
x
1
.
The negative reciprocal of
2
1
is equal to −2, therefore, −2 is the slope of our line.
Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:
6=(−2×1)+b
6=−2+b
b=6+2=8
Substitute this value for b in the equation y=−2x+b:
y=−2x+8
Hence, the equation of the line is y=−2x+8.
Step-by-step explanation:
make me as brain liest
PLEASE SOLVE! WILL GIVE BRAINLIEST FOR FIRST RIGHT ANSWER (WITH EXPLANATION, NOT WITHOUT). *Explanation doesn't need to be big.
In the figure it is impossible to measure segment AB. So point C is drawn, forming ∆ABC, where sides AC and BC can be measured. Segments AC and BC are extended, resulting in segments AD and BE, where C is the midpoint of both. Prove ED is congruent to AB.
△ABC≅△___ by reason _____ (AAA, ASA/SAA, Cannot Be Determined, SAS, SSS)
Answers
Answer:
Step-by-step explanation:
From the given picture,
AD and BE are the lines intersecting at a point C.
Point C is the midpoint of these lines.
From ΔABC and ΔDEC,
AC ≅ CD
CE ≅ CB
And ∠ABC ≅ ∠DEC [Vertical angles]
Therefore, ΔABC ≅ ΔDEC [By SAS property of congruence]
And AB ≅ ED [Since, ΔABC ≅ ΔDEC]
Can you simplify -6/0 ?
Answers
Answer:
It can also be termed as "undefined".
Step-by-step explanation:
Hope that this post has helped you out in some way! :)
48minutes to 1hour
This is a ratio plz simplify it
Answers
Answer:
48/60=24/30=15/12=4/5 or 4:5
So your final answer is 4/5 or 4:5
Step-by-step explanation:
You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
All of the digits in the given number are significant. There are 7 significant digits.
__
Comment on other cases
When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.
When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.
In a number with no decimal point, the leading and trailing zeros are not significant.
If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)
the decimal equivalent 3/5 is a repeating decimal true or false?
Answers
Answer: false
Step-by-step explanation:
3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.
True, the decimal equivalent of 3/5 is a repeating decimal.
We have,
The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.
When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.
This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.
Thus,
True, the decimal equivalent of 3/5 is a repeating decimal.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Need help on angle measured geometry
Answers
-12x to each side
17=3x
X=17/3 or 5and2/3
17/3=15x
(17/3)/15
x = .37777
FINAL AWNSER = 37 degrees
There are 27 students in a class one third of the students are boys how many students are girls
Answers
Answer:
18 students are girls.
Step-by-step explanation:
Answer: The answer would be 18 girl students
Step-by-step explanation:
If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.
Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid?
Answers
Answer:
So, friend Let me solve the question for you :
let's use disturbutive property
67 x 5 - 67 × 3
67 × (5-3)
67 ×2 = 134
Step-by-step explanation:
Hope it. helps PISas Markbrainliest
Answer:
You got paid $40.20
Step-by-step explanation:
First let's find out how many 5's they gave him:
$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)
Now we find out how much money they gave you:
$3 (how much they give you) x 13.4 = $40.20 (your total money)
Factorise fully
-12a - 16
please do quick, first to answer marked brainiest!!
Answers
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
What is the slope of (-7,-1) and (3,8)? Pls show your work
Answers
Answer:
[tex]m=\frac{9}{10}[/tex]
Step-by-step explanation:
To find the slope between any two points, we can use the following slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:
[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]
Evaluate:
[tex]m=\frac{9}{10}[/tex]
Therefore, the slope between the two points is 9/10.
Choose the expression that best represents the phrase below. The number of acorns split evenly among 5 squirrels
Answers
Answer:
Step-by-step explanation:
The correct answer is, "a divided by 5"
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answers
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!
Answers
In decimal form, this is y = -1.5x+3
=========================================
Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
--------------------------
We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
--------------------------
The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
Answer:
[tex]y=-\frac{3}{2} x+3[/tex]
Step-by-step explanation:
I don't really know how to explain this, but I hope the graph helps some.
I hope this helps you! (✿◕‿◕✿)
Please help thank you
Answers
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.
Answers
9514 1404 393
Answer:
70 ft long61 ft wideStep-by-step explanation:
Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...
P = 2(L+W)
Filling in the known information, we have ...
262 = 2((w+9) +w)
131 = 2w +9 . . . . . . . divide by 2
122 = 2w . . . . . . . . . subtract 9
61 = w . . . . . . . . . . . divide by 2 (width)
w+9 = 70 . . . . . . . . length
The length of the garden is 70 feet; the width is 61 feet.
12% of 72 is what number
Answers
Answer:
8.64
Step-by-step explanation:
8.64
[tex]12\;percent\;of\;72=8.64[/tex]
A ballon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?