Compute the average rate of change of f(x)=(x+4)/(x-3) over the interval [5,7].
A)4/3
B)7/8
C)-7/8
D)-4/3
(Image attached below)
![Compute The Average Rate Of Change Of F(x)=(x+4)/(x-3) Over The Interval [5,7].A)4/3B)7/8C)-7/8D)-4/3(Image](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/x3YnwHUoE7AafKxjeFsTEM7wh9BOFapt.png)
Answers
Answer:
C) - 7/8Step-by-step explanation:
Average rate of change is:
[f(7) - f(5)]/(7 - 5)Find the values and substitute into expression:
f(7) = (7 + 4)/(7 - 3) = 11/4f(5) = (5 + 4)/(5 - 3) = 9/2 = 18/4Find the rate of change:
(11/4 - 18/4)/2 = (-7/4)/2 = - 7/8Correct choice is C
Related Questions
please actually help me
Answers
Answer:
A.) 6:51
B.)The train at 6:42
C.)34 minutes
Find the missing angle measure.
Answers
Answer:
83
Step-by-step explanation:
Help me pls i would really appreciate it
Answers
Plug in the numbers and see if it’s true. We know that the x intercept is in the front and the y intercept is in the back.
(x,y)
So with the first choice the x = -1; y = 14
14 > -10(-1) -1
14 > 9
So this is an answer
Do the same with every choice and see what works
Hope this helps :)
What are the y and x-intercept in f(x)=50-2x?
Answers
Answer:
Step-by-step explanation:
Which fraction and decimal forms match the long division problem? 9) 8.000 7 21 80 72 80 72 8 8 A. and 0.8 9 B. 8 and 0.8 O 9 C. and 0.888 8 9 D. and 0.8 8 SUBMIT
Answers
Step-by-step explanation:
the answer is B.
yes it is
what is dividing fractions
Answers
Answer:
The simplest way I can describe dividing fractions is like multiplying fractions but upside down.
Example:
1/2 ÷ 1/3
To do this, the easiest way is to "flip" the second fraction.
It then becomes:
1/2 × 3/1
Then you just multiply across and you get a product of 3/2 or 1 1/2
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Answers
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
What is the GCF of 14 and 16?
Answers
it’s the highest number you can divide both of those by
2.4.6.8.10.12.14.16
6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.
Answers
Answer:
[tex]A=6x^{2} -13x-28[/tex]
Step-by-step explanation:
A=L(W)
A=2x-7(3x+4)
Use distributive property
[tex]A=6x^{2} +8x-21x-28[/tex]
Combine like terms
[tex]A=6x^{2} -13x-28[/tex]
There u go!!
What is 500 miles decreased by 20%?
Answers
Answer:
400
Step-by-step explanation:
Percentage decrease = 20% × 500
New value = 500 - Percentage decrease
500 - (20% × 500) =
500 - 20% × 500 =
(1 - 20%) × 500 =
(100% - 20%) × 500 =
80% × 500 =
80 ÷ 100 × 500 =
80 × 500 ÷ 100 =
40,000 ÷ 100 =
400
Ms. Brown spent $5.25 on groceries and 75¢ on candies. What is the ratio of: a) cost of groceries to cost of candies b) cost of candies to total cost
Answers
Answer:
A.) 7:1 (which is 5.25 : 0.75 simplified)
B.) 0.75 : 6
Step-by-step explanation:
What is the circumference of this circle?
A.
4
1
⁄
2π
B.
20
1
⁄
4π
C.
2
1
⁄
4π
D.
None of the above
E.
9π
Answers
Answer:
It is 2 π r
Step-by-step explanation:
Hope this helps you!!!1
help angels this geometry is a pain in the 4$$
Answers
Answer:
1. 4.5
2. The scale factor is 3/4
Step-by-step explanation:
Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372
A) -9
B) 5
C) 16
D)-8
E)-4
F)6
Answers
hope it helps
#carry on learning!C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77
Answers
Answer:
98
Step-by-step explanation:
which two ratios represent quantities that are proportional?
A. 3/5 and 13/10
B. 18/48 and 21/56
C. 20/28 and 15/18
D. 7/10 and 10/7
Answers
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7
Answer:
18/48 and 21/56
Step-by-step explanation:
plato
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answers
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft?
Answers
Answer:
l×b×h-this is the order
10×8
=80 --area 1:maximum
10×6= 60--area2: minimum area
8×6=48--area3:middle area
if you follow the order
the answer is= 60ft
y=2x+4 how would i graph that
Answers
Answer:
Start at 4, up 2, right 1
Step-by-step explanation:
Using Y=mx+b
B: begin
M: movement
Start at 4, then move up 2 and right one (because 2 = [tex]\frac{2}{1}[/tex])
Hope this helps! :)
*You can also use Desmos*
A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.
Answers
Answer:
5 : 1 or 10 : 2
Step-by-step explanation:
proportional escape room puzzle two
Answers
Answer:
Step-by-step explanation:
Is there a question to it?
Write the decimal as a fraction in simplist form -0.096
Answers
Answer:
Step-by-step explanation:
-0.096 is -0.096 thousandths, or -96/1000
That can be reduced by removing 8:
-[(8)*(12)]/[(8)*(125)] = -12/135
-12/125 = -0.096
Is (10^-2)3 = (10^-3)2 the same?
Answers
Answer:
i think it is same let me know
What is 10/13 in a decimal rounded to the nearest 100
Answers
Answer:
0.77
Step-by-step explanation:
10/13 as a decimal is 0.769230
0.769230 to the nearest 100 is 0.77
Hope this helps :D
11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?
Answers
Answer:
the student that is correct is Gene and the solution is x=10
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
We have,
From the model below,
The right-hand side:
This can be written as,
1 + 1 = 2 ______(1)
And,
The left-hand side:
This can be written as,
-x + 8 x (-1)
-x - 8
or
-8 - x ______(2)
Now,
From (1) and (2),
2 = -8 - x
Thus,
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???
Answers
Answer:
y=3x-4
Step-by-step explanation:
how do I do this please help
Answers
Answer:
i do not know what it all says
Step-by-step explanation:
Write 3/6/7 in an improper fraction in the lowest term
Answers
Answer:
27/7
the mixed number 3 6/7 can be written as 27/7.
The value of an improper fraction in the lowest term is,
⇒ 27/7
We have to give that,
A mixed fraction is,
⇒ 3 6/7
Now, We can change the fraction into an improper fraction as,
⇒ 3 6/7
⇒ (3×7 + 6)/7
⇒ (21 + 6)/7
⇒ 27/7
Therefore, an improper fraction in the lowest term is,
⇒ 27/7
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
The window below has an area of 64 inches squared. What is the length of each side?
Answers
Answer:
The answer would be 8.
Step-by-step explanation:
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Answers
Answer:
Expression for the number of tiles Bruce used: 5x+2
Expression for the number of tiles Felicia used: 5x+5
Step-by-step explanation:
First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.
For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).
To represent those last two tiles we can simply add +2.
Now putting it all together we get 5x+2
5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.
For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.
Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).
Because those were individual tiles they are simply 5.
Putting the whole thing together we get 5x+5