Mathematics College

Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).

Answers

Answer 1

Answer:

[tex]\displaystyle -11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 8

(1, 3) → a = 1, b = 3

Step 2: Find Average Rate

Substitute in variables [Average Rate of Change]:                                       [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function:                                                                    [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents:                                    [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply:                                                        [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract:                                                       [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative:                  [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add:                                                                                [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide:                                                                            [tex]\displaystyle -11[/tex]
Answer 2

Answer:

Step-by-step explanation:

-1x^2-7x8

-1x^2-7x+8

-1x+8-7x

+1x +1x

----- ------

X -7x

8 -7x

---- -----

+7 +7

---- -----

15 1x/x

15 1x

---- -----

1 X

X=15

Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.

What you do to one side you do to the other.

Related Questions

A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?

Answers

Answer:

15

Step-by-step explanation:

Answer:

21 ounces.

Step-by-step explanation:

This is percentage increase.

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!

Answers

Answer:   it is 1.25

hope i helped

Answer:

1.25

Step-by-step explanation:

yeah

I NEED HELP ON THIS ASAP!! GIVING 75 POINTS TO WHOEVER CAN HELP ME WITH THIS!!!

Answers

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54

Answers

9n-4

9(6)-4

54-4

50

Option B

Answer is Option B) 50

9(6)-4

54-4

50

solve the system of equations 5x+3y=5 5x+7y=25

Answers

Answer:

(-2,5)

Step-by-step explanation:

a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated

Answers

Answer:

851,968

Step-by-step explanation:

26*8*8*8*8*8= 851,968

From the combination of codes, 851,968 employee ID codes can be generated.

Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.


Required number of  codes = 26 * 8 * 8 * 8 * 8 * 8
                                         = 851,968

Thus, from the combination of codes, 851,968 employee ID codes can be generated.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2


The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. the regular bottle holds 75% less. how many fewer fluid ounces does the regular bottle hold?

Answers

Answer:

9

Step-by-step explanation:

12×0.75=9

Someone please help me I’ll give out brainliest please dont answer if you don’t

Answers

5=1=100%
So now 9 In relation to the 5
9=more than 1=more than 100%

So if you divide out each of the 5 laps amongst the 100% each lap equals 20% of the 100%
So if each lap equals 20%
Each of the 9 laps also equals 20%
So 9times 20%= 180% which makes sense because he’s only one lap off trim double.
But it’s asking for the percent increase so you can do this a few ways
180-100=80
(9-5)times20=80
Good luck


Help asaaaaaap guys

Answers

Answer:

-3.5,-3,-2 1/2,-2,2.5

Step-by-step explanation:

Least. Greatest

-3.5, -3, -2 1/2, -2, 2.5

evaluate the expression 8 ÷ t when t= 4

Answers

the answer is 2 goodluck on your test

Please help me with this work

Answers

Answer:

1. (5y) = 35

2. (6y) = 1

3. (4y) = 2

4. (11y) = 15

5. 18, 24, 42, 60

The number of miles Henry rides his bike in 10 days is 60miles

Step-by-step explanation:

is 2/6 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

I think it’s rational because irrational can be written as a decimal, but NOT as a fraction

3/4 + 3/5 how do you solve it

Answers

Answer:

3/4 + 3/5 = 1 7/20

Step-by-step explanation:

5 x 4 = 20

3/4 = 15/20

3/5 = 12/20

15/20 + 12/20 = 27/20 = 1 7/20

Answer: 1 7/20 (one and seven-twentieths)

Step-by-step explanation:

1) 3/4 = 15/20 and 3/5 = 12/20

2) 15/20 + 12/20 = 27/20

3) 27/20 = 1 7/20

Good Luck!

A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions by 2 inches by 2 inches by 2.7 inches

What is the volume of the computer?

Answers

Answer:

10.8 in³

Step-by-step explanation:

2x2x2.7=10.8

2. What is an interest that is computed on the
principal and then added to it?
A. Simple Interest
B. Compound Interest
C. Interest
D. Principal​

Answers

Answer:

Step-by-step explanation:

2^x=1/128 solve the equation

Answers

Answer:

x  =  − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.

Answers

Answer:

-4i

Step-by-step explanation:

Answer:

14i

Step-by-step explanation:

(-2+5i)-(-2+9i)

remove () because they are unneeded

-2+51--2+9i

-2+5i+2+9i

0+14i

14i

Which is the value of the rational expression 6-x/x+5 when x=2

Answers

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree

Answers

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93

Answers

Answer:

Step-by-step explanation:

The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.

Answers

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

write the place value of the 5 in each number. a) 1 325​

Answers

Answer:

Place Value of 5 in 1325 is 'Thousands'

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=68°, and MK = 42 feet. Find the length of LM to the nearest tenth of a foot.

Answers

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.

Answers

Answer:

2 times became that's correct

The probability of choosing yellow is 5/12

Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?

Answers

k would be located at

What are the values of m and n in each right triangle

Answers

m would be 90 degrees and n would most likely be 15 (it will be less than 90 for sure since it's an acute angle but what are your options?)

Describe ways you can determine something is either linear or exponential. Be specific PLZ
also plz hurry i need help quick

Answers

You just need to find the slope using two points. You just need to find the slope between x=1 and x=5, x=5 and x=6, x=6, x=9, etc. If the slopes are the same, it's linear and if they're different, it's exponential. Have a good day:)

negative 5x plus 4y equals 3 i need x and y please

Answers

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?

Answers

Answer: y= -6x -7

Step-by-step explanation:

Point slope formula : y-y1=m(x-x1)

y- (-1)=-6(x- (-1))

y+1= -6(x+1)

y+1= -6x-6

y+1-1=-6x-6-1

y=-6x-7

Standard from 6x+y=7

Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]

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