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
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answers
Answer:
C. y = 91
Step-by-step explanation:
you are given that x and y are proportional, this means that you can out them in a fraction
so when x is 8, y is 56, this can be written as 8/56
you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction
so now we have 8/56 = 13/y
cross multiply 56 and 13, and 8 and x
you now have: 8y = 728
divide both sides by 8
you get y = 91
9. Given p = 2i + 2j + k and q = 4i + k. Find
(a) p • q
please help ASAP for 25 points and brainliest :)
Answers
12
Step-by-step explanation:
because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide
This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x
Answers
Answer:
B. y = 6x + 3Step-by-step explanation:
Given
x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}The equation in slope- intercept form:
y = mx + bUsing two pairs of coordinates (5, 33), (6, 39), we will find the slope:
m = (39 - 33)/(6 - 5) = 6/1 = 6Using one point (5, 33) to find the y-intercept:
33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3The equation is:
y = 6x + 3Correct option is B
Mr. Dudley is writing a test for his mathematics class. The test will have true/false
questions worth 2 points each and multiple-choice questions worth 4 points each for a
total of 100 points. He wants to have twice as many multiple-choice questions as
true/false questions. How many true/false questions and multiple-choice questions will
be on the test?
Answers
Answer:
10
Step-by-step explanation:
so x=true/false questions
y=multiple-choice questions
2x+4y=100
2x=y
plug in 2x for y in the first equation
2x+4(2x)=100
10x=100
x=10
y=20
The total questions would include 10 true/false questions and 20 multiple-choice questions.
We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.
We have to determine how many true/false questions and multiple-choice questions will be on the test.
What do understand by Modelling of a Equation ?The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.
According to the question -
Assume that the number of true/false questions be x.
Assume that the number of multiple-choice questions be y.
Then -
y = 2x
Points for each true/false questions - 2 points
Points for each multiple-choice questions - 4 points
Total points of test = 100 points
Now,
Model the equation on the basis of above information -
2x + 4y = 100
2x + 4 (2x) = 100
2x + 8x = 100
10x = 100
x = 10
Therefore -
y = 2x = 2 x 10 = 20
Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.
To solve more questions on Equation modelling, visit the link below -
brainly.com/question/689722
#SPJ6
I really need help
Answers
Answer:
A and D
Step-by-step explanation:
Hope this helps!
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.
The figure shows a right triangle with legs marked 40 and 9.
Answers
Answer:
41
Step-by-step explanation:
The Pythagorean Theorem:
[tex]x^2+y^2=z^2[/tex]
where x and y are two legs, and z is the hypotenuse
Plugging this in, we have
[tex]40^2 + 9^2 = 1681\\\sqrt{1681}=41[/tex]
Answer: Hypotenuse is 41
In a survey of 2,100 people owned a certain type of car, 1365 said they would by that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
65%
Step-by-step explanation:
Percentage = 1365/2100 *100
= 65%
1+1 pls, help, I will give you brainliest answer!!! just hellllllp!!!!!
Answers
Answer:
2!!!
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
1+1=2
Step-by-step explanation:
Brainliest please!
Manuel earned a grade of 80%. He got 16 correct. How many problems were on the test? plz solve quick
Answers
Answer:
20
Step-by-step explanation
Words
3 x (52 - 12) in word form
Answers
Answer:
three times fifty-two minus twelve.
-or-
three multiplied by fifty-two subtracted from twelve.
also if you need the answer to the problem it's 70
Answer: Three times Fifty two minus twelve
Step-by-step explanation:
PLEASE HELP PICTURE ATTACHED
Answers
Answer:
x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]
Step-by-step explanation:
Answer:
I do not fully understand this question so I will try to answer it the best I can.
25x^2-10x^2-13x=-7
15x^2-13x=-7
That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.
Please help me please
Answers
Answer:
the ham is the least expensive, the roast beef is most expensive
Step-by-step explanation:
hope this helps.
50pesos de 100 cuánto es el porciento
Answers
Answer:
50%
Step-by-step explanation:
El 100% es 100
Y X es 50
Entonces si 50 es la mitad de 100
Seria 50%
Prove or give a counterexample: Every positive integer can be expressed as the sum of three or fewer perfect squares. (A perfect square is an integer n for which there is an integer k with the property: n
Answers
Answer:
Statement is incorrect
Step-by-step explanation:
Every positive integer cannot be expressed as the sum of three or fewer perfect squares.
Supposing the number 7 only squares less than are 0, 1 and 4
Clearly 7 can not be written using three or fewer of these numbers
It is proved
By taking Cube root of 7
[tex]\sqrt[3]{7}[/tex] = 1.912931183
Now By taking
[tex]\sqrt{7}[/tex] = 2.64575131
So both values 1.912931183 and 2.64575131 are not positive integers.
Hence the statement is incorrect.
The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship?
How many apples can she pick per hour? Drag numbers to complete the statements.
Numbers may be used once, more than once, or not at all.
Answers
Answer:
The answer is y=75x, Erin can pick 75 apples per hour
Step-by-step explanation:
Normally you'd find two points and then use rise over run, but since there's an exact point (75) over 1 in the x plane, you don't need to simplify as it's already done for you
If the temperature is 5°F outside and the wind is blowing 15 miles an hour, the wind chill makes it feel like the temperature is 25°F below zero. Which integer represents the wind chill temperature? * PLZ HELP
Answers
Answer:
-30
Step-by-step explanation:
5-(-25)
=30
(has nothing to do with wind speed)
PLS GIVE BRAINLIEST
Integers are those numbers that can be represented positively or negatively.
Integers are never in decimal numbers.
Integers are whole numbers with positive signs and negative signs.
Below zero degrees means the temperature is in negative value.
The integer that represents the wind chill temperature is -25°F.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Integers are those numbers that can be represented positively or negatively.
Integers are never in decimal numbers.
Integers are whole numbers with positive signs and negative signs.
Temperature outside = 5°F
The wind is blowing 15 miles an hour.
The wind chill makes it feel like the temperature is 25°F below zero.
Below zero degrees means the temperature is in negative value.
This can be represented by an integer as,
= -25°F
Thus,
The integer that represents the wind chill temperature is -25°F.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
does anyone know how to do this?
Answers
Answer:
112
Step-by-step explanation:
beacuse 180-68=112
What is the slope of the linear function that
models the data in the table?
Answers
Answer:1.2
Step-by-step explanation:divide 198 by 165
Answer:
slope - 1.2
--------edge
A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.
Answers
Answer: The estimate is 200
Step-by-step explanation:
The exact amount would be 204 teddy bears, but you would it down to 200.
please please help me!!
Answers
Answer:
slope is 4
Step-by-step explanation:
slope of the line is the diference in y /diference in x between any 2 points that belong to the line
slope=(10-2) / (3-1) = 8/2 =4
what is 206 divided :) 6
Answers
Answer:
if you mean 206 divided by 6 than the answer will 34.3 (rounded)
Step-by-step explanation:
I used a calculator
Which property would you use to simplify the following expression 4(y+5)
Answers
don't know what I was thinking
Leaving my child behind
Now I suffer the curse
Knowing now I am blind
With all this anger, guilt and sadness
Coming to haunt me forever
I can't wait for the cliff at the end of the river
Is this revenge I am seeking
Or seeking someone to avenge me
Stuck in my own paradox
I wanna set myself free
Maybe I should chase and find
Before they'll try to stop it
It won't be long before I'll become a puppet
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
I wish I lived in the present
With the gift of my past mistakes
But the future keeps luring in like a pack of snakes
Your sweet little eyes
Your little smile, is all I remember
Those fuzzy memories mess with my temper
Justification is killing me
But killing isn't justified
What happened to my son, I'm terrified
It lingers in my mind
And the thought keeps on getting bigger
I'm sorry my sweet baby
I wish I've been there
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
Answers
It’s been in my head forever now
bro this is so sad....
♥ お力になれて、嬉しいです！♥
each year lizza school purchased agenda books, which are sold in the school this year the school purchased 350 books at a cost of 1,137.50 if the school would like to make a profit of 1,500 to pay for field trips and school activities, what is the least amount they can charge for each agenda book
Answers
New price (at least): 1,500 / 350 = 4.3 (result is rounded)
I'm going to k.m.s GOODBYE WORLD
Answers
Answer:
nooooo
Step-by-step explanation:
Answer:honestly i might too at some point but if you decide not to and want to talk about what happened, let me know. i'm not a therapist and i'm not the best with words, but i do like to listen to what others have to say and learn from their lives. i hope you choose to live, but i sadly cannot stop you.
Step-by-step explanation:
Select the correct statement about the function represented by the table.
Answers
Answer:
Option (A)
Step-by-step explanation:
x y Ratio [tex](\frac{y_2}{y_1})[/tex]
1 7 -
2 21 [tex]\frac{21}{7}=3[/tex]
3 63 [tex]\frac{63}{21}=3[/tex]
4 189 [tex]\frac{189}{63}=3[/tex]
5 567 [tex]\frac{567}{189}=3[/tex]
Since, there is a common ratio in each successive term of y over the equal interval of x values,
Given table will represent an exponential function.
Therefore, Option (A) will be the correct option.
Find the product of (x - 3)2.
Answers
Answer:
2x-6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9
PLEASE HELP!
Identify the y-intercept and zeros of
[tex] y = {x}^{4} - 9 {x}^{2} - =3[/tex]
Algebraically
Answers
Answer:
y intercept: (0, -36)
zeros: 2 √ 3 , − 2 √ 3 , i √ 3 , − i √ 3
A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?
Answers
Answer:
13.5 feet
Step-by-step explanation:
Square root of 182 = 13.49
help please- asap :}
Answers
Answer:
The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.
Step-by-step explanation:
We need to complete the table.
Positive Integer: value having + sign
Negative Integer : Value having - sign
The digits in bold are those that were given, and other two we had to fill
Positive Integer Negative Integer Value
15 -15 15
101 -101 101
4 -4 4
82 -82 82
1121 -1121 1121
33 -33 33
10 -10 10
999 -999 999
47 -47 47
1 -1 1