Answers
Answer:
-17
Step-by-step explanation:
The average rate of change is synonymous to the slope of a function.
We want to find the average rate of change for the function:
[tex]f(x)=-2x^2-3x-8[/tex]
For the interval [3, 4]
So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.
Our endpoint values are x=3 and x=4. So:
[tex]\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}[/tex]
And:
[tex]\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}[/tex]
So, we have the two points (3, -35) and (4, -52).
Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Calculate the slope:
[tex]m=\frac{-52-(-35)}{4-3}=-17/1=-17[/tex]
Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.
Related Questions
What fraction does Point A on the number line below represent?
3/8
-3/8
6/8
-6/8
Answers
Find the circumference of the circle ! Please help
Answers
Answer:
D
Step-by-step explanation:
Plz mark brainliest!!!
A fencewill go around a circular Garden. The radius of the garden is 29 feet what length of fence is needed
Answers
Answer: 58π = 182. 21 feet
Step-by-step explanation:
Circumfrence is kinda like the perimeter of the circle and we need to use the cirucumfrence formula 2πr to solve for the length of fence needed.
2π(29) = 58π = 182. 21 feet
Someone please....
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answers
Answer:
Mercantilism
Economic policy held that a nation's power was directly related to its wealth; manufactured goods to England and America needed favorable balance of trade, system could bring the colonies prosperity of the colonies didn't see it this.
Import
bring (goods or services) into a country from abroad for sale.
Navigation acts
1651 English government passed several laws to control colonial trade and then sure the colonies remain profitable, increased revenues for England and increased the cost of law-enforcement in America, meant more English involvement in colonial affairs
enumerated articles
pl (plural only) (historical) sugar, tobacco, cotton and indigo - the goods that the English colonies could export only to England in the 17th century.
Legislature
the legislative body of a country or state.
Indentured Servant
Historically, an indentured servant or indentured laborer was a man who took out a loan, most often to pay for the cost of his transportation to a job location: from Europe to North America, for example.
Export
Send (goods or services) to another country for sale.
Dominion of New England, English Bill of Rights.
The English Bill of Rights created a constitutional monarchy in England, meaning the king or queen acts as head of state but his or her powers are limited by law. Under this system, the monarchy couldn't rule without the consent of Parliament, and the people were given individual rights.
Step-by-step explanation:
A company refinishes wood floors for $1.50 per square foot. Makayla hires the company to refinish 1,000 square feet
in her home. How much does she pay for the refinishing work?
$500
$1,000
$1,500
$5,000
Answers
Answer:
The correct answer is $1,500
Step-by-step explanation:
hope this helps
What is the slope of line m?
Answers
Answer:
Slope= -0.5
Step-by-step explanation:
Answer:
1/2x
Step-by-step explanation:
You go down one step and run 2 steps
Please help if you can. I will give you a brainliest !!
Answers
Answer:
its blurry I cant even see it
Step-by-step explanation:
The table shows the weekly profits of a fruit
vendor. What is the mean profit for these weeks?
Week
1
2
3
4
Profit -$125 -$86
$54
- $35
The mean profit is $
Answers
Answer:
-48
Step-by-step explanation:=-48
The mean profit of the fruits will be $75.
What is mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is just like an average it is calculated by taking the ratio of the sum of all the numbers to the total count of the numbers.
Given that the weekly profit of the fruits is $125, $86, $54, and $35. The mean will be calculated as:-
Mean = ( 125 + 86 + 54 + 35 ) / 4
Mean = 300 / 4
Mean = $75
Therefore, the mean profit of the fruits will be $75.
To know more about mean follow
https://brainly.com/question/968894
#SPJ5
please help and I will mark big brain
Answers
Answer: 6
Step-by-step explanation:
(41--1)/ (8-1) = 42/7 = 6
Answer:
6
Step-by-step explanation:
I learned this before
find the missing side lengths. leave ur answers as radicals
Answers
Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9
How many solutions does -3+9v=8v have
Answers
Answer:
-3 = 8v-9v
-3 = -1v
v = -3/-1
v = 3
ONE SOLUTION
-3+9v=8v
By moving the terms,
9v-8v=3
1v=3
1v/1=3/1
So -3+9v=8v has one solution.
The square shown has sides of length 6z^7 decimeters. Find it’s area
Answers
Answer:
49z^10 dm^2
Step-by-step explanation:
Unit test Select two ratios that are equivalent to 2 : 12. Choose 2 answers: A 6:40 B 12:2 C 3:24 D 1:6 E 8:48
Answers
D) if you divide the ratios by 2 you get 1:6
E) if you multiply each ratio by 4 you get 8:48
You can’t divide or multiply any of the other numbers with 2 and 12 (together) to get you the other answers
12 1/2 percent multiple 64
Answers
Answer: The answer is 384 if your question is 12x1/2x64
Matt received change totaling 1.85 in nickels,dimes, and quarters. He recieved at least one coin of each type. What is the least number of coins he could of recieved
Answers
Answer:
6 quarters 2 dime 3 nickels
Step-by-step explanation:
Write the standard form of the line that has a slope of −3/4 and y-intercept of −2. Include your work in your final answer.
Answers
Y=Mx+b —-> Y=-3/4x-2
Then we can put it in standard form
Ax+By=C
We move the x to the other side
3/4x+y=-2
And that’ll be your answer :)
*if Ax it’s not positive you will have to multiply by -1*
A scientist is examining a multicellular organism that has the ability to move from one location to another and eats food to gain energy for survival. What kingdom would be the best option when classifying this organism?
Answers
Animalia
Explanation:
From the kingdom Animalia, we can know many characteristics of Anamalia. Kingdom Animalia is made of all animals. The animal kingdom is the largest kingdom among the five kingdoms. Some of their features are:
They are multicellular eukaryotes.
They don’t have a cell wall or chlorophyll like plants.
They have a heterotrophic mode of nutrition.
They can move from one place to another place.
They can catch their food.
They depend on other animals for their food purpose.
For collecting food, they can change their place by moving.
From these characteristics, we can say that the Animalia kingdom would be the best option when classifying this organism.
Twelve large bottles of water cost $9. a. How many bottles can you buy for $3?
Answers
Answer:
4 bottles
Step-by-step
3 is 1/3 of 9 and 12/3 is 4 bottles
Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP
ps. Giving 30 points if answer is given
Answers
Answer:
I believe the bottom one is true and the rest are false
Step-by-step explanation:
bottom one true
Answer:
it is the last one. it is a smaller distance from Drachten
Step-by-step explanation:
Find the missing angle:
Answers
Answer:
40
Step-by-step explanation:
Use this picture as a reference.
So, using remote angles theorem, which states that; the angle formed from the extension of a side in a triangle is equal to the sum of the two angles which it does not make contact with, within the triangle. One can conclude that :
m< BCD = m<B + m<A
substitute:
m<BCD = 80 + 25
Simplify:
m<BCD = 105
Since it is given that m< BCE is 50, then one has to subtract m<BCE from m<BCD to get m<ECD
m<BCD - m<BCE = m<ECD
Subsitute:
105 - 50 = m<ECD
Simplify:
55 = m<ECD
Using the sum of angles in a triangle, which states that the sum of all the angles in a triangle is 180 degrees, one can say that:
m<D + m<ECD + m<E = 180
Substitute:
85 + 55 + m<E = 180
Simplify, inverse operations:
140 + m<E = 180
-40 -140
m<E = 40
On the basis of a survey of 545 television viewers, a statistician has constructed a confidence interval and estimated that the proportion of people who watched the season premiere of Glee is between .16 and .24. What level of confidence did the statistician use in constructing this interval?
Answers
Answer:
0.98 also 98%
Step-by-step explanation:
In this question we have the Lower limit to be 0.16
We have the Upper limit to be 0.24
Such that (0.16+0.24)/2 = 0.40/2 = 0.20
Standard deviation= √(0.2x0.8/545) this gives 0.017134
Next we get margin of error
Margin of error = 0.24-0.20 = 0.04
Z multiplied by sd =0.04
Such that
Z = 0.04/0.017134 =2.33
On this z score, the Corresponding level of confidence is 0.98
Which is 98%
which one is greater 140% or 0.14
Answers
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.
Answers
Answer:
cost per unit of gas i.e y= 0.36
Step-by-step explanation:
Let cost per unit of electricity = x
and cost per unit of gas = y
The equations required will be:
[tex]600x+100y=390 ---- eq(1)\\400x+250y=326----eq(2)[/tex]
We need to find value of y i.e cost per unit of gas
Solving equations to find value of y
We will use elimination method
Multiply equation 1 by 4 and 2 by 6
[tex]2400x+400y=1560 ---- eq(1)\\2400x+1500y=1956----eq(2)[/tex]
Subtracting eq 1 from eq 2
[tex]2400x+1500y=1956----eq(2)\\2400x+400y=1560 ---- eq(1)\\- \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ -\\----------------\\1100y=396\\y=\frac{396}{1100}\\y=0.36[/tex]
Solving we get y=0.36
Putting value of y in eq(1) to find value of x
[tex]600x+100y=390\\600x+100(0.36)=390\\600x+36=390\\600x=390-36\\600x=354\\x=\frac{354}{600}\\x=0.59[/tex]
Value of x = 0.59
But we need to find only cost of unit of gas i.e y
So, cost per unit of gas i,e y= 0.36
helpppppp please I will give brainliest to anyone who can solve this and explain please only explain if you know please
Answers
Answer:
The second answer choice is the best one
Step-by-step explanation:
y=7/2x-3
A coin is tossed 5 times; find the probability of getting at least 1 tail. Would you consider this event likely to happen?
Answers
Answer: 0.96875
Step-by-step explanation:
Probability of obtaining at least one tail on a toss of coin 5 times ;
P(success) in a coin toss = 1/2 = 0.5
Using the binomial distribution formula :
P(x) = nCx * p^x * (1 - p)^(n-x)
P(at least one tail) = 1 - p(0 tails)
P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)
= 1 * 1 * 0.03125
= 0.03125
P(at leat 1 tail) = 1 - 0.03125
P(atleast 1 tail) = 0.96875
What is 40/4.
From this_guy
Answers
Answer:
10
Step-by-step explanation:
40/4= 10
Find the measure of the arc or angle indicated. Assume GE is the diameter of
the circle
O 70°
0 47
O 54
O 60°
Answers
Answer: 70 degrees (i had that question got it right)
Step-by-step explanation:
(08.01)Two lines, A and B, are represented by the following equations:
Line A: 2x + 2y = 8
Line B: x + y = 3
Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.
Answers
Answer:
It is D, ( the numbers to the right of the equals sign are different.)
Step-by-step explanation:
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. Complete the table using equivalent ratios. help me pleaseeee
Answers
Answer:
21/6 = 7/2 = 14/4
Step-by-step explanation:
Answer:
21:6 7:2 14:4
Step-by-step explanation:
8
Find the circumference of the circle pictured above.
Round your answer to the nearest tenth
Answers
And when you plug in 8 into r you have 2pi(8)
When you solve it you should get 50.24
Can you pls mark brainleist