8,487 divided by 8 I need help !
Given the functions f(x), g(x), and h(x) shown below; list the functions from greatest to least by average rate of
change over the intervall
Answer:
f(x) > h(x) > g(x)
Step-by-step explanation:
For the average rate of change of a function between x = a and x = b,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table given,
Average rate of change of function 'f' between x = 1 and x = 3,
Average rate of change = [tex]\frac{f(3)-f(1)}{3-1}[/tex]
= [tex]\frac{15-7}{3-1}[/tex]
= 4
For the function 'g',
g(x) = 2x² - 18x
Average rate of change = [tex]\frac{g(3)-g(1)}{3-1}[/tex]
g(3) = 2(3)²- 18(3)
= 18 - 54
= -36
g(1) = 2(1)² - 18(1)
= 2 - 18
= -16
Therefore average rate of change = [tex]\frac{-36+16}{3-1}[/tex]
= -10
From the graph attached,
Average rate of change of the graph between x = 1 and x = 3,
Average rate of change = [tex]\frac{h(3)-h(1)}{3-1}[/tex]
h(3) = 7.5 [Although the graph is not clear]
h(1) = 2
Average rate of change = [tex]\frac{7.5-2}{3-1}[/tex]
= 2.75
Therefore, order of rate of change (from greatest to the least) for the given functions will be,
f(x) > h(x) > g(x)
Between 8:00 a.m. and 9:00 a.m., the temperature rose 2 degrees. Every hour after that, the temperature rose 3 degrees. At 12:00p.m., the temperature was 72°F. What was the temperature at 8:00 p.m.?
you deposit $1,300 in an account that pays 4% interest compounded yearly find the Balance after 3 years
Answer:In 3 years, you will have $1,462.32
Step-by-step explanation:
The mean monthly temperature for the year 1900 is 53.75. The Mean Absolute Deviation for the temperatures in 1900 is approximately 15 degrees The mean monthly temperature for the year 2017 is 56.25 degrees. The Mean Absolute Deviation for the temperatures in 2017 is 13.7 Is there a meaningful difference between the two mean monthly temperatures? Your answer must reference the number of MADs that separate the two means.
Answer:
the mean is 4.86 & the mad is 1.91 hope this helped you and pls give me the Brainly crown
Step-by-step explanation:
i got 10.6 am i wrong?
Answer:
15.3
Step-by-step explanation:
because 15 is the number I think
Find the slope of the line.
Y=5/3x
Answer:
[tex] \frac{5}{3} [/tex]
~ See attatchment
Step-by-step explanation:
I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.
The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.
Hi!
Let's check if the equation that we're going to work with is in slope-intercept form.
Remember, the slope-intercept formula is:
[tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]
Where:
m -> Slopeb -> Y-interceptDetails:
[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]
Therefore:
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]
I hope I helped, have a wonderful day!
If you need any explanation or clarification, reach out to me, I'm always happy to help. :D
Find the measure of each angle listed to the right.
(Plsss solve)
Answer:
JML is 26 degrees.
PMN is 64 degrees.
NMK is 26 degrees.
The equation C = 75h + 29 represents the total
cost, C, to rent a boat for h hours. If Greg
rented a boat at 7:30 a.m. and paid $385.25
for the rental, what time did he return the
boat?
74.94×103=
because the number 10³ has
zeros when it is written without an exponent. ineed it now please
Answer:
74940
Step-by-step explanation:
I believe you meant 74.94*10^3. The ^ indicates exponentiation. 10^3 is equivalent to 1000; Multiplying 74.94 by 1000; we get 74940.
The blue lines in the picture are marked out because its not important.
Can you find the Area
Answer:
We have to use heron’s formula to find the area of the triangle. Here a=7cm, b=9cm and c=12cm s = (a+b+c)/2 = (7+9+12)/2 = 28/2 = 14 Area of the triangle = √s(s-a)(s-b)(s-c) = √14(14-7)(14-9)(14-12) = √14×7×5×2 = √2×7×7×5×2 = √5×(2×2)×(7×7) = 14√5 cm^2 Hence area Of the triangle is 14√5 cm^2.
6. Select all the inequalities that have the same solutions as -4x < 20.
A. -x > 5
B. 4x > -20
C. $4x
D. $x
E. x > 5
F. x > -5
(From Unit 6, Lesson 13.)
Answer:
F and B (as far as I can see).
Step-by-step explanation:
First, let's simplify the equation. You can easily do this by dividing by -4.
-4x < 20
/-4 /-4
x > -5
REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!
On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.
On B, the 20 is negative instead of the 4. Does this change anything?
4x > -20
/4 /4
x > -5
Nope! It still simplifies to what we had at the beginning so it works!
C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.
E is wrong because we need the 5 to be positive.
F is obviously right compared to our first answer.
Answer: F, b, a
Step-by-step explanation:
HELP PLEASE WILL MARK BRAINLIEST!
Find the area. Simplify your answer.
Answer:
assuming that the figure is a parallelogram:
area = base x height
area = (x + 3) (2x) = 2x² + 6x
Step-by-step explanation:
A local charity held a crafts fair selling
donated, handmade items. Total
proceeds from the sale were $2,605. A
total of 89 items were sold, some at $20
each and the rest at $35 each.
Answer:
34 sold for $20
55 sold for $35
Step-by-step explanation:
20x+35y=2605
y=(98-x)
20x+35(89-x)=2605
Solve for x
20x+3115-35x=2605
20x-35x=2605-3115
-15x=-510
x=34
What is the slope of the person who types words faster words (greater slope) per minute? (type just the number).
The value of cos47° is equal to
Answer:
Decimal form = 0.68199836
A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches. Which of the following is not a dimension of the box?
The dimension of the box is 12 by 7 by 8
How to calculate the volme of a boxThe volume of the box = lwh
Given the following
l = w
w = w - 5
h = w - 4
Hence;
w(w-5)(w-4) = 56w
Expand to have
(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0
Factorize to get the value of w;
w(w^2-9w-36)=0
w^2 - 12w + 3w - 36 = 0
w(w-12) + 3(w-12)= 0
w = -3 and 12
Hence the dimension of the box is 12 by 7 by 8
Learn more on volume of box here: https://brainly.com/question/15532376
did you encounter any difficulties in choosing the graph of the given situations.
Help please I suck at math
Answer:
1 biodata is on my class then you will contact or person
Answer:
hey
Step-by-step explanation:
please answer the question in the picture below
five times a certain number plus 5 is 45
Answer:
8
Step-by-step explanation:
8x5=40 + 5 = 45
That's the answer
Answer:
8.
Step-by-step explanation:
five times 8 is 40. add five is 45.
2y+x+4z + 3x +9y+ 3z
2y+9y+x+3x+4y+3y
11y+4x+7z
giving brainliest !! *easy*
Answer:
r2r [tex]\pi \: r[/tex]mHow many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.
9514 1404 393
Answer:
120
Step-by-step explanation:
The number of permutations of 5 things taken 4 at a time is 120.
__
There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.
120 4-digit codes can be formed using odd digits with no repetition.
ABC is a triangle.
Work out the size of the angle marked p.
Answer:
p= angle180_(50+70)
p=180_120
angle p=60
In Usama's high school, there are 190 teachers and 2650 students. What is the student-teacher ratio?
a. 1:14
b. 14:1
C. 503500
Answer:
i think it's 14:1 i can't understand 503500.
Mary has 10/12 of ube cake she shared 7/12 to ana. what part of cake was left to mary?
Answer:
3/12
Step-by-step explanation:
10-7 is 3, so its 3/12.
A B C D
100
Which letter is a good estimation of 55 on the number line?
A)
А
B)
B
C)
C С
D)
D
Answer:
b or d
Step-by-step explanation:
Good afternoon!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
9514 1404 393
Answer:
5) 112°
6) 40°
Step-by-step explanation:
5) The angle E or ? is half the sum of the intercepted arcs:
? = (130° +94°)/2 = 112°
__
6) The angle D is half the difference of the intercepted arcs:
? = (135° -55°)/2 = 40°
A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.
did I get this right?
The sine function is:
f(x) = -2*sin(x/2) + 3.
So you got it almost correctly, you only forgot to apply the reflection.
How to get the sine function?We start with the general sine function:
[tex]a*g(w*x + p) +m[/tex]
where g(x) = sin(x)
a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:f(0) = 2*sin(w*0 + p) + 3 = 3
= 2*sin(p) + 3 = 3
Then we must have p = 0, so there is no phase shift.
We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:
f(x) = 2*-sin(wx) + 3
Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:
f(x) = -2*sin(x/2) + 3.
This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.
If you want to learn more about sinusoidal functions, you can read:
https://brainly.com/question/18055768
Answer:
I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures
hope this helps