Answers
Answer:
The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Step-by-step explanation:
We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]
The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
We are given b=6 and a=-5
We need to find f(b) and f(a)
Finding f(b)
Putting x= 6 to find f(b)
[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]
So, f(b)=19
Now finding f(a)
Putting x= -5 to find f(a)
[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]
So, f(a)= 30
Finding average rate of change
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]
Average rate of change = -1
So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex] for interval [tex]-5\leq x\leq 6[/tex] is -1
Related Questions
The weight limit for a bookshelf is 25 pounds. Niyant has 60 books to put on the shelf. Each book weighs 0.45 kilograms. Can Niyant fit all 60 books on the shelf? How many books can she fit on the shelf? (1 kilogram is equivalent to about 2.2 pounds
PLEASE SOLVE
WILL GIVE BRANLIEST
Answers
Answer: 90
Step-by-step explanation:
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.
adults?
teenagers?
children?
Answers
Answer:
Step-by-step explanation:
line up your givens like this:
1, 575 visitors 100%
? adults 56%
? teeenagers 16%
? children. 28%
cross-mulyiply
adults*100 = 1,575*56
teens*100 = 1,575*16
children*100 = 1,575*28
divede each side by 100
adults= 1,575*56/100
teens = 1,575*16/100
children= 1,575*28/100
solve
adults= 882, teens = 252, children= 441
Answer:
adults= 882, teens = 252, children= 441 easy
Step-by-step explanation:
nevermind.aiurhmf auhrnqwfh
Answers
Answer:
fhjfhiewujrfl
Step-by-step explanation:
qewioruoqk;lwq;lrk
(26 + 3) x (8 ^4) pls help
Answers
Answer:
58
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
118784
▹ Step-by-Step Explanation
(26 + 3) * (8⁴)
We are going to follow PEMDAS: Parentheses, Exponents, Division, Addition, Subtraction
First, we will start with parentheses that includes exponents:
(8⁴) = 4,096 (8 * 8 * 8 * 8)
Then, we will work on the other parentheses which involves addition:
(26 + 3) = 29
Therefore,
29 * 4,096 = 118784
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Sofia wants to buy a new pair of jeans. At Pants World, the jeans she wants cost $40 and they're having a 25% off sale. At All Clothes, the same jeans cost $38 and she has a $6 off coupon. What is the best deal?
1.Purchase at Pants World, because the cost after discount will be $15
2.Purchase at Pants World, because the cost after discount will be $30
3.Purchase at All Clothes, because the cost after coupon will be $32
4.Purchase at All Clothes, because the cost after coupon will be $34
Answers
Answer:
number 2
Step-by-step explanation:
Purchase at Pants World, because the cost after the discount will be $30. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The cost of jeans at the Pants world is calculated as,
⇒ $40 - 25% of $40
⇒ $40 - 0.25 x $40
⇒ $40 - $10
⇒ $30
The cost of jeans at All Clothes is calculated as,
⇒ $38 - $6
⇒ $32
Purchase at Pants World, because the cost after the discount will be $30. Then the correct option is B.
More about the Algebra link is given below.
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do you know how to bake a muffan
Answers
Answer:
yea by using a resipe
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
you need eggs, butter, flour, sugar, salt, oil (i prefer olive oil) and baking powder.
fruit if you like them in your sweets.
this makes 12 muffins
2 cups flour
3 tsps baking powder
1/2 tsp salt
3/4 cup sugar
1 egg
1 cup milk
1/4 cup oil
preheat oven. i usually do 350 F, increase the temperature if youd like them to cook faster but keep in mind youll need to check on them often with increased heat.
stir together your dry ingridents and in a seperate bowl beat your egg with a fork. stir in the milk and oil with the egg.
pour into your dry ingriedeints until everything is well mixed.
bake until golden
if you like fruit id suggest blueberries, 1 cup
Frank started the summer with $60 in his account. He
earned $35 working, spent $48 at the beach, spent $24
on movies, spent $50 on new clothes and received $15
for his birthday. What was the final balance of his account
at the end of the summer?
Answers
Answer:
The answer should be 12
Step-by-step explanation
he has 60 in his account already so add 35 and 15 (60+35+15=110) then add 48+24+50 which equals 122. Now subtract 110-122 and you'll get 12. so the answer is 12.
83%
The work in an office takes 150 hours to complete every week.
Each person in the office works for 32 hours a week.
a)
What is the smallest number of people needed to complete the work?
b)
The number of hours each person works is decreased to 30 hours a week.
Does the office still need the same number of people?
Answer 'yes' or 'no'.
Answers
Answer:
a) 5
b) yes
a) reason is 5x32 = 160 hour
b) reason is 5x30 = 150 hour
Help please, i dont know this :)
Answers
Answer:
b, c, a
Step-by-step explanation:
Answer: B, C, A
Step-by-step explanation: you go from the biggest number to the smallest
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
Answers
0.6t I found it on brainly lol
Answer:
Step-by-step explanation:
C. O.6
Which statement regarding functions is true?
O Each input results in exactly 1 output.
O Each input results in 2 outputs.
Each input results in between 1 and 5 outputs
Each input results in infinitely many outputs.
Answers
Answer: O each input results in exactly 1 output
If you have one input you will have exactly 1 output
Answer:
Each input results in 1 output.
Step-by-step explanation:
help me plssssssssssss
Answers
There are 3 girls to every 5 boys. If there are 36 girls, how many boys are there?
Answers
Q3. Elisa got $120 for her birthday. She wants to buy the new apple airpods
that cost $250. If she saves an additional $10 per month, how many months
would it take for her to have enough? Let m equal the number of months
needed to save. *
250 + 120 = 10m
250 + 10m = 120
120 + 10m = 250
10m = 250
Please help it's for an assessment !
Answers
Answer:
13m
Step-by-step explanation:
this is because she needs 130
Answer:
13 months
Step-by-step explanation:
subtract 120 from 250 because that is how much she already has and then divide that answer by ten which will give you the number of months
What is the slope for 3y+6x=9
Answers
-2
The slope intercept form :
y = mx + b
m - a slope
3y+6x = 9
y = -2x -3
-2 = m
You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This includes Airfare, room and board, daily expenses, and travel). You save for 5 months and your monthly gross salary is $1,675.00. Given that Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, your monthly expenses are $975.23, and you pay State and Federal taxes in the amount of $35.00 and $75.51 respectively biweekly, how much will you have saved up and will you have saved enough to visit Disney World in December? Round all your answers to the nearest cent. a. $1,508.25; no c. $1,753.05; yes b. $1,523.43; no d. $1,788.06; yes
Answers
Answer:
c. $1,753.05; yes
Step-by-step explanation:
All calculations below are done on a monthly basis.
Gross salary in 1 month: $1675
Deduct 6.2% from gross salary:
0.062 * $1675 = $103.85
$1675 - $103.85 = $1571.15
Deduct 1.45% from gross salary:
0.0145 * 1675 = $24.29
$1571.15 - $24.29 = $1546.86
Deduct $975.23:
$1546.86 - $975.23 = $571.63
The expenses of $35 and $75.51 are biweekly. Since we are calculating per month, we multiply each of the expenses by 2.
Deduct 2($35) and 2($75.51):
$571.63 - $70 - $151.02 = $350.61
The amount saved per month is $350.61.
In 5 months, the amount saved is 5 * $350.61 = $1753.05
$1753.05 is greater than $1,600.
Answer: c. $1,753.05; yes
i need help with this
Answers
Answer:
[tex]178.54[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\frac{7.7}{0.093-0.797} +\frac{7.2}{0.038}[/tex]
Step 2: Evaluate
Subtract: [tex]\frac{7.7}{-0.704} +\frac{7.2}{0.038}[/tex]Divide: [tex]-10.9375 +189.474[/tex]Add: [tex]178.536[/tex]Round: [tex]178.54[/tex]help with this slope
Answers
Answer:
20,100 I think
Step-by-step explanation:
Answer:
20/10
Step-by-step explanation:
goes up 20
goes to the right 10
what does x equal on a quadrilateral if the other angles are 129, 71, and 42
Answers
Answer:
The other angle is 118 degrees
Step-by-step explanation:
All quadrilaterals add up to 360 degrees, so if we add 129+71+42 we get 242. Now we take 242 from 360 and get 118. Hope this helped :)
i am in middle school
Answers
Answer:
nice
Step-by-step explanation:
Answer:
Cool ig. So am I lol. Do you need help with something or no?
Step-by-step explanation:
Seth sells candles for $14.35 each. Last week, he sold 21 candles. Seth pays $2.40 for materials for every 3 candles. How much did Seth earn last week?
Answers
Answer:
$284.55
Step-by-step explanation:
total of sold candles:$14.35 × 21 = $301.35
total for materials : 21÷3 = 7
=7×$2.40
=$16.8
net earn; $301.35-$16.8 =$284.55
A water drip system in a garden uses 2/3 cups of water every 1/6 of an hour. a) How much water is used in 1 hour? b) Use your equation to caculate how much water is used after 24 hours.
Answers
Answer:
A) 4 per hour
B) 96 per day
Step-by-step explanation:
A) 2/3 times 6 is 4
B) 4 times 24 is 96
perperimeter of rectangle l= 12 b=18 p= ?
Answers
Answer:
The perimeter of the rectangle is 60
9/2 ÷ 3/4
Please help me
Answers
The sum of 35 and a certain number divide by 4. the results is equal to double the number. find the number
Answers
Answer:
Subtract x and divide by 7 to get:
x=5
So now we know the number is 5.
Step-by-step explanation:
Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.
Answers
The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
What are a triangle's properties?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The properties of a triangle are:
Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
To know more about the properties of the triangle follow
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Fill in the blank by choosing the correct symbol (<, >, or = ): -6 _____ -22 *
Answers
Answer:
the answer is ">"
Answer:
>
Step-by-step explanation:
because -6 is bigger than -22
5 . 9 × ____ = 73.16 which is the missing factor?
A.
0.124
B.
1.24
C.
12.4
D.
124
Answers
Answer:
C) 12.4
Step-by-step explanation:
First you divide 73.16 by 5.9 which equals your answer 12.4
Hope this helps.
The missing factor in the expression will be;
⇒ 8.13
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 9 x ? = 73.16
Now,
Let the missing factor in the expression = x
So, We get;
⇒ 9 × x = 73.16
Solve for x,
⇒ 9 × x = 73.16
Divide by 9 both side, we get;
⇒ x = 73.16 / 9
⇒ x = 8.128
After rounding we get;
⇒ x = 8.13
Therefore,
The missing factor in the expression will be;
⇒ 8.13
Learn more about the multiplication visit:
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4x - 10 = 58
What is the value of x
Answers
Answer:
17
Step-by-step explanation:
4x - 10 = 58 add 10 to both sides
4x - 10 + 10 = 58 + 10
4x = 68 divide both sides by 4
x = 17
Answer:
x = 17
Step-by-step explanation:
Given
4x - 10 = 58 ( add 10 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17
Daniella will go to school five times next week. Find the probability that Daniella will be late more than once.
p = 5/6
Answers
Answer:
1/34
Step-by-step explanation:
its and propity of 1/4 time the value it self plus what you take