Answers
[tex]f(x) = \dfrac{x+1}{x^2-7x-8} \\~\\~\\f(x) = \dfrac{x+1}{(x-8)(x+1)} \\~\\~\\f(x) = \dfrac{1}{x-8}[/tex]
[tex]\text{avg} = \dfrac{f(a)-f(b)}{a-b} \\~\\~\\\text{avg} = \dfrac{\left(\dfrac{1}{3-8}\right)-\left(-\dfrac{1}{2+8}\right)}{3-(-2)} \\~\\~\\\text{avg} = \dfrac{\left(\dfrac{1}{-5}\right)-\left(-\dfrac{1}{10}\right)}{5} \\~\\~\\\text{avg} = \dfrac{1}{2}-1 \\~\\~\\ \text{avg} = -\dfrac{1}{2}[/tex]
Related Questions
A movie theater sold 150 bags of popcorn last night. They sold 500 bags all week combined. What percent of their popcorn sales came from last night?
Help me fast I will give brainliest
Answers
Answer:
25%
Step-by-step explanation:
If the store bought a guitar for $45, what will be its store price
Answers
Answer: increase
Step-by-step explanation: are there numbers to choose from....? The number would be greater than 45 because businesses wanna make more money .
EX-- if they bought it for 45 they could make it $50 to make a profit of $5.
Hope this helped if sooooo make brainly plzzz
Write an equation in slope-intercept form of a line that contains points (2-4)
and (5,8)
Answers
Answer:
y = 4x - 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
A segment has endpoints at (1,8) and (-11,13) find the length of the segment
Answers
Answer:
13
Step-by-step explanation:
[tex]d = \sqrt{(-11-1)^{2}+(13-8)^{2} }[/tex]
[tex]d = \sqrt{(-12)^{2}+(5)^{2} }[/tex]
[tex]d = \sqrt{144+25}[/tex]
[tex]d = \sqrt{169}[/tex]
[tex]d = 13[/tex]
Thomas earns 15 mowing lawns over 3 days. How much money would he earn in 4 days if he earned the same amount every day
Answers
Answer: 20 Dollars
Step-by-step explanation:
15 divided by 3 is 5. So, then multiply 4x5 and that equals 20
Answer:
$20
Step-by-step explanation:
$15 for mowing lawns for 3 days
15 / 3 = 5
He charges $5 for each lawn he mows.
5 * 4 = 20
So for 4 days he would earn $20 from mowing the lawns
1. X-7=-26
2. 11=x+ 5
TYSM
Answers
Answer: 1: X = − 19
2:x = 6
Step-by-step explanation:
Answer:
[1] x = -19
[2] x = 6
Explanation:
x - 7 = -26Add 7 to both sidesx - 7 + 7 = -26 + 7
Simplifyx = -19
11 = x + 5Switch sidesx + 5 = 11
Subtract 5 from each sidex + 5 - 5 = 11 - 5
Simplifyx = 6
Select the student who reads the fastest (greatest number of words per minute)
Answers
Tamar reads 600 words in 5 minutes, so he is already out of the question since Levi reads 700 words in 5 minutes. (Levi reads 140 words in 1 minute, so add 140+560=700 because they read 560 in 4 minutes)
So I think it’s Ariel because in 4 minutes she reads 600, and where the 5 would be, if you go straight up, it’s over 700 (if i had to guess, 750 since it’s counting by 100s and it would be in the middle of 700 and 800)
Is the slope of the linear function constant? Explain.
Answers
Answer:
Yes. When a function is linear, it means that it will always be a straight line. For this to hold true, the slope must always be constant.
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is 16\text{ ft}16 ft and the height of the pyramid is 10.6\text{ ft}10.6 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
The volume of the pyramid with a square base V = 904.53 ft³
Step-by-step explanation:
Step(i):-
The length of the pyramid = 16 ft
The width of the pyramid = 16 ft
The height of the pyramid = 10.6ft
Step(ii):-
The volume of the pyramid with a square base
[tex]V = \frac{1}{3} a^{2} h[/tex]
[tex]V = \frac{1}{3} (16)^{2} (10.6)[/tex]
V = 904.53 ft³
Final answer:-
The volume of the pyramid with a square base
V = 904.53 ft³
Answer:
904.5
Step-by-step explanation:
Jorge’s printer can print 24 pages in 18 minutes. How many pages can it print in 34 hour?
hint: 34 hour is how many minutes
pages.
im in 7 grade
Answers
Answer:
it 46
Step-by-step explanation:
George father spent one hour and 40 minutes working on his truck if he started working on it at 5:35 would he would have finished at 7:15
Answers
Answer: yes
Step-by-step explanation: 5 hours and 35 minutes plus one hour and 40 minutes = 7 hours and 15 minutes
pls thank and rate!
Write the equation for a graph that shifts right 9.
Answers
Answer:
y=x-9
Step-by-step explanation:
The formula for continuously compounded interest on a principal investment Pat a given interest rater
over time tin years is given by A = Per? You have deposited $12,000 in an account that pays 4.15%
interest, compounded continuously. How long will it take for your initial investment to grow six times its
original worth? Round your answer to the nearest tenth.
Answers
Answer:
43.2 years
Step-by-step explanation:
The formula for continuously compounded interest on a principal investment Pat a given interest rater
over time tin years is given by A = Pe^rt
P = Initial amount compounded = $12000
A = Amount compounded continuously after t years = six times it's original worth
= 6 × $12,000 = $72000
r = Interest rate = 4.15%
t = time in years = ?
Making t the subject of the formula
t = ln(A/P) / r
First, convert R percent to r a decimal
r = R/100
r = 4.15%/100
r = 0.0415 per year,
Then, solve our equation for t
t = ln(A/P) / r
t = ln(72,000.00/12,000.00) / 0.0415
t = 43.175 years
Approximately t = 43.2 years
The time required to get a total amount of $ 72,000.00 from compound interest on a principal of $ 12,000.00 at an interest rate of 4.15% per year and compounded continuously is 43.2years.
Which inequality is graphed below?
Answers
Answer:
Inequality: y ≥ 1/4x -1
Write an equation
in SIF from the table.
X
3
-4
2
6
9
8
Answers
Answer:
the question is only this much or there are the another question too
Last Saturday, Jenny went to the market. She spent $35 on fruits, $25 on
vegetables and $10 on chocolates. After the purchase, she had $286 left.
What is the total amount she had before she went to the market?
Answers
Answer:
She had $356 before she went to the market
Step-by-step explanation:
Add up the purchases and then add it all to the remaining number
(35 + 25 + 10) + 286 = 356
Answer:
195
Step-by-step explanation:
If she spends something= +
Left= -
(35 + 25 + 10) - 286 = 195
positive and positive= negative
negative and positive=negative
negative and negative=positive
Hope this helps!!!
Susan had $120 and Patrick had twice as much money as her at first. Susan received some money and Patrick spent some money. The amount Susan received was 3 times as much as the amount Patrick spent. They had the same amount of money in the end. How much did Susan receive ?
Answers
At first Patrick had twice of Susan.
Hence,
He have 2 × 120 = $240
Let the money received be x
x + 120 = 3(240 - x)x + 120 = 720 - 3x3x + x = 720 - 1204x = 720 - 1204x = 600x = 600/4x = 150[tex]\therefore \bold{Susan \: had\:received \: 150\$}[/tex]
James is travelling to South Korea.
The conversion from pounds to South Korean
won is £1 = 1500
He buys a train ticket for 30 000
How much does James pay in pounds?
Answers
Answer:
2.03
Step-by-step explanation:
Answer:
£20
Step-by-step explanation:
1500*20= 30000
1*20=£20
The blue dot is at what value on the number line?
Answers
Answer: it means -5
Step-by-step explanation: I counted up down the number line to see what number was next
Answer:
-5
the higher it goes up the number goes lower if its negitive
Solve the quadratic equation by completing the square.
x²-18x+75=0
First, Choose the appropriate form and fill in the blanks with the correct numbers.
Then, Solve the equation. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.
Form:
1. (x + _)² = _
2. (x - _)² = _
Solution: x = _
Fill in the underscores with correct values, Show work in full please
Answers
Answer:
11.45, 6.55
Step-by-step explanation:
x²-18x+75=0
x²-2*9x+ 9*9+75=9*9
(x-9)²=81-75
(x-9)²=6
X-9=+/-2.45
X=11.45 OR X=6.55
Helppppppp my iPad is almost deadddd
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6+2-(-1)+(-8) Equation/Question
Step 2
6+2-(-1)+(-8) Remove parenthesis
9-8
Step 3
9-8 Add them
answer
1
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
6+2-(-1)+(-8) Simplifying
Step 2
6+2-(-1)+(-8) multiply
8-(-1)-8
9+(-8)
9-8
Step 3
9-8 Then you add
Answer
1
Hope this helps
Eduardo takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 45 centimeters long and 60 centimeters wide, how long is the diagonal cut that Eduardo made?
Answers
Given:
Length of sheet of paper = 45 centimeters
width of the sheet of paper = 60 centimeters
To find:
The length of the diagonal cut that Eduardo made.
Solution:
We know that, a sheet of paper is a rectangle.
Diagonal of a rectangle is
[tex]Diagonal=\sqrt{length^2+width^2}[/tex]
Putting length = 45 and width = 60, we get
[tex]Diagonal=\sqrt{(45)^2+(60)^2}[/tex]
[tex]Diagonal=\sqrt{2025+3600}[/tex]
[tex]Diagonal=\sqrt{5625}[/tex]
[tex]Diagonal=75[/tex]
Therefore, the length of the diagonal cut that Eduardo made is 75 centimeters.
In AUVW, UW is extended through point W to point X, mZWUV = (3.2 - 4)º,
m VWX = (6x + 6), and mZUVW = (x + 20). What is the value of x?
Answers
In this figure, the value of ‘y’ is?
Answers
Answer:
y=8 I think this is answers
In the parking lot there are 1960 convertibles and 490 minivans, for a total of 2450 cars all together what is the ratio of cars to convertibles
Answers
Answer: 5:4
Step-by-step explanation:
Given : The number of convertibles = 1960
The number of minivans = 490
Total cars = 2450
The ratio of A to B can also be written as [tex]\dfrac{A}{B}[/tex].
The ratio of cars to convertibles = [tex]\dfrac{\text{Number of cars}}{\text{Number of convertibles}}[/tex]
[tex]=\dfrac{2450}{1960}\\\\=\dfrac{5}{4}\ \ \ \text{[Simplest form]}[/tex]
Hence, the ratio of cars to convertibles = 5:4
Benjamin bought 4 goldfish. Each goldfish cost $1.29. How much did Benjamin spend?
this time pls help me oh god pls help me .
Answers
Answer:
5.16
Step-by-step explanation:
dude
Find the volume of a rectangular pyramid with length 11 m, width 7 m, and height 8 m. Round to the nearest tenth, if necessary.
Answers
1/3 times area of base times height
1/3 x (11x7) x 8
1/3 x 77 x 8
Answer is approximately 205.3
Brainiest if I'm correct, thanks!Solve the equation. Type just the numeral answer. Do NOT round your solution.
Answers
Answer:
What you need to do is do 45.3 - 7.05 and you should get your answer. And then add your answer to the subtractio problem to 7.05 to see if you get 45.3
Step-by-step explanation:
Answer:
38. 25 (NOT ROUNDED)
Step-by-step explanation:
x= 45.3 -7.05
x= 38.25
what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)
Answers
Answer:
this is required answer.
Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –180°
Answers
Answer:
The answer is "[tex]R_0, 270^{\circ}\ and \ R_0, -90^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete and correct question in the attached file.
The rule of rotating the origin is: [tex]270^{\circ} \ is\ (x,y) \to (y, -x)[/tex]
[tex]\therefore \\ \to (x, y) = (0,5)\\\\\to (y,-x)= (5,-0)= (5,0)\\\\R_0, 270^{\circ}\\[/tex]
So, the clockwise rotation is [tex]90^{\circ}[/tex] about origin changes [tex](x, y) \to (y, - x)[/tex]
[tex]\therefore\\\to (0, 5) \ changes \ are (5,0)\\\\R_0, -90^{\circ}[/tex]
Answer:
c and d
Step-by-step explanation:
