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
Answers
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)
Related Questions
Find the vertex of the function. ill mark brainlist
Answers
Answer:
(2,-9)
Step-by-step explanation:
Can somebody please help me with this
Answers
There are two squares.ONe has a side length of 12 inches and the other has a side length of 14 inches.What is he total area of both squares?
Answers
Answer:
340 in^2
Step-by-step explanation:
1. First square
A = l*w = 12^2 OR 12*12 = 144
2. Second square
A = l*w = 14^2 OR 14*14 = 196
3. Combined Area
144+196=340
The area of a square is found by squaring the side length, which is the same as multiplying two of the sides together.
Square 1: 12 x 12 = 144 square inches.
Square 2: 14 x 14 = 196 square inches.
Total area = 144 + 196 = 340 square inches.
Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answers
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit
Question 4
Which pattern of points in a scatterplot describes r=-1.0?
A) All points lie on a horizontal line
B) All points lie on a line that increases from left to right?
C) All points lie on a line that decreases from left to right?
D) A cloud of random points.
Answers
find area
ASAP due in 10 mins
Answers
enlarge this shape by scale factor 3 on the grid below
Answers
joyce is thinking of a 3 digit number. her number has the digits 8, 4, and 6. to the nearest hundred, it rounds to 600. what is the number?
Answers
Answer:
648
Step-by-step explanation:
It will round down (since 4 and down round down) to 600. Therefore, the answer is 648.
Hope that helps!
-Sabrina
Answer:
648
Step-by-step explanation:
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answers
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
Classmates Joan, Peta, and Linda each received $400 as graduation gift. Joan deposits her money in an account that earns 7% interest compounded annually and keeps the money in the account for three years. Peta deposits her money, plus an extra $70, in an account that earns 8% interest compounded annually and keeps the money in the account for two years. Linda deposits her money in an account that earns 5% compounded'annually and keeps the money in the account for one year.
Who has more money when they close their accounts and why?
A) Joan, because she kept her money in the longest.
B) Linda, because of her interest rate.
C) Peta, because she invests the most.
D) They all make the same amount.
Answers
9514 1404 393
Answer:
C) Peta, because she invests the most
Step-by-step explanation:
The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.
Peta will have the most money in her account when she closes it.
__
The balances will be ...
Joan $490.02
Peta $548.21
Linda $420.00
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answers
Answer:
6 x 1/3 = 2
Step-by-step explanation:
Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409
points, how many points did Tyler score?
Answers
Answer:
186
Step-by-step explanation:
Tyler: 223 less than Kiran
Kiran: 409
409 - 223 = 186
Which expression below is equivalent to -2(5x-8)?
-10x+16
-10x-8
3x-10
3x-8
Answers
-2(5x-8)
-10x+16
So A.
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hope it helps
John wants to earn $30. He already has $12. What percent is he at his goal?
Answers
Answer:
40%
Step-by-step explanation:
40%
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hope it helps
I don't really know how to explain sorry
What value of b completes the function f(x)=-x^2+bx+1?
Answers
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Which of the following explains which inequality symbol belongs in the box? 7 3 8 × 4 5 □ 7 3 4 A. When 7 3 8 is multiplied by a number greater than 1, the product is less than 7 3 8 . The product is also less than 7 3 4 because 7 3 8 < 7 3 4 . B. When 7 3 8 is multiplied by a number greater than 1, the product is greater than 7 3 4 . The product is also greater than 7 3 4 because 7 3 8 > 7 3 4 . C. When 7 3 8 is multiplied by a number less than 1, the product is less than 7 3 8 . The product is also less than 7 3 4 because 7 3 8 < 7 3 4 . D. When 7 3 4 is multiplied by a number less than 1, the product is greater than 7 3 8 . The product is also greater than 7 3 4 because 7 3 8 > 7 3 4 .
Answers
Answer:
b
Step-by-step explanation:
Answer:
B thank you for doing that hard work
putting all that info in
Step-by-step explanation:
10. Complete the statement by using the Inverse Property
of Addition
-19 +?=0
Answers
A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.
Answers
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 100[/tex]
Because of the claim of the farmer.
The alternate hypothesis is:
[tex]H_{1} \neq 100[/tex]
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
What is the slope of (10,-6) (-2,8)
Answers
In this figure what is the value of v
Answers
Find the value of x.
Answers
Answer:
write 9x+80=7x+120
next transpose the x values to one side and the number to other side
i.e 9x-7x=120-80
= 2x= 140
x=140/2
and you will get the answer 70
so x=70
Step-by-step explanation:
Please mrk me as brainliest if you
The person above me is correct have a good day or night :))
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answers
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?
The straight-line distance between the points is ___ units, rounded to the nearest tenth.
Answers
Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
Answers
Jack collected 18 ten dollar bills while selling tickets for a show. He gave 1 over 6 of the bills to the theater and kept the rest. How much money did he keep?
Answers
Answer:
150
Step-by-step explanation:
Collected bills: 18 * 10= 180
1/6 of 180 = 30
180-30=150
Answer:
15 ten dollar bills, 150 dollars
Step-by-step explanation:
1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself
giving brainliest *easy*
Answers
Step-by-step explanation:
The formula is given by :
[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]
We have,
m = 19° and d = 9 cm
So,
[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]
Hence, this is the required soltion.
what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
Answers
Answer: $179.70
Step-by-step explanation:
The simple interest will be:
= (Principal × Rate × Time) / 100
= ($6000 × 5.99% × 5) / 10
= ($6000 × 0.0599 × 5) / 10
= $1797 / 10
= $179.70
Therefore, the total interest on the loan is $179.70
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5). Please graph afterwards!! First correct answer gets brainlyyy
Answers
Answer:
a=3; (3,5) and (4,0) for the graph
Step-by-step explanation:
ax-y=4
x=3, y=5 so...
a(3)-5=4
3a-5=4
+5 +5
3a=9
/3 . /3
a=3
For the graph, use (3,5) and substitute x and y for anything:
ax-y=4
if x=0...
a(0)-y=4
-y=4
y=4
a=3; (3,5) and (4,0) for the graph!
If triangles DEF and NPQ are similar, what is the length of side q?
• Enter the answer as a fraction.
Answers
Answer:
q= 45/14 (or) 3 3/14
Step-by-step explanation:
7/9=5/2/q
cross multiply
7q=45/2
q=45/2÷7
q= 45/14 (or) 3 3/14
What is the factored form of X^9+27 A (x^3-3)(x^6+3x^3+9) B(x^3+3)(x^6-3x^3+9) C(x-3)^3(x^6+3x^3+9) D(x+3)^3(x^6-3x^3+9)
Answers
Answer:
D
Step-by-step explanation: