Answers
Answer:
a) 45/4
b) 3
c) 12
d) 24
e) no; rate of change varies
Step-by-step explanation:
The average rate of change on interval [a, b] is given by ...
m = (f(b) -f(a))/(b -a)
The function values are read from the table.
__
a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4
b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3
c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12
d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24
e) Not a linear function. The rate of change is not constant.
Related Questions
No links or wrong answers please
Answers
Answer:
(x+1)(x−2)(x+3)(x−4)
Apply the distributive property by multiplying each term of x+1 by each term of x−2.
(x
2
−2x+x−2)(x+3)(x−4)
Combine −2x and x to get −x.
(x
2
−x−2)(x+3)(x−4)
Apply the distributive property by multiplying each term of x
2
−x−2 by each term of x+3.
(x
3
+3x
2
−x
2
−3x−2x−6)(x−4)
Combine 3x
2
and −x
2
to get 2x
2
.
(x
3
+2x
2
−3x−2x−6)(x−4)
Combine −3x and −2x to get −5x.
(x
3
+2x
2
−5x−6)(x−4)
Apply the distributive property by multiplying each term of x
3
+2x
2
−5x−6 by each term of x−4.
x
4
−4x
3
+2x
3
−8x
2
−5x
2
+20x−6x+24
Combine −4x
3
and 2x
3
to get −2x
3
.
x
4
−2x
3
−8x
2
−5x
2
+20x−6x+24
Combine −8x
2
and −5x
2
to get −13x
2
.
x
4
−2x
3
−13x
2
+20x−6x+24
Combine 20x and −6x to get 14x.
x
4
−2x
3
−13x
2
+14x+24
Step-by-step explanation:
i really dont know
x-(2x+3)
how to solve and why you change the sign for the +3?
Answers
Answer:
-x - 3
Step-by-step explanation:
x-(2x + 3)
=> x-1(2x + 3)
=> x - 2x - 3
=> -x - 3
Therefore, this is the solution. Hoped this helped.
[tex]GeniusUser[/tex]
Answer:
Step-by-step explanation:
x-(2x+3)
Notice that we can't further simplify the things in the bracket so we should multiply by -1
Technically this is like:
x - 1(2x+3)
-1 times 2x = -2x , -1 times 3 is -3
= x - 2x - 3
= -x - 3
Every day after school, Albert and his sister Valentina play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. There is a proportional relationship between the number of goblins defeated, x, and the number of power points earned, y.
Answers
Answer:
So um what's the question?
Step-by-step explanation:
Find the value of x so that the ratios are equivalent.
9:x and 54:8
Answers
Answer:1.33 (Repeated decimal)
Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.
someone pls help me!!!!
Answers
Answer:
-2
Step-by-step explanation:
The interval [-6. -4] refers to x values.
At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis
At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.
The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)
= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2
Factorize
A) [tex]x^{2} -x-132[/tex]
B) [tex]9t^{2} -u^{2}[/tex]
C) [tex]4p^{2} -9[/tex]
D)[tex]162-8t^{2}[/tex]
E) [tex]p^{2} x-4q^{2} x[/tex]
Answers
(s – 7)^2= 0
then, what is the value of: (s-9)(s + 3)?
Answers
Answer:
s² - 6s - 27
Step-by-step explanation:
(s - 7)² = 0
s² + 49 - 14s = 0
Now,
(s - 9)(s + 3)
(s × s) + (s × 3) - (9 × s) - (9 × 3)
s² + 3s - 9s - 27
s² - 6s - 27
Ricardo wants to cover a shelf with shelf
liner. The shelf is 4 feet wide and feet
deep. What is the area of the shelf?
Answers
Answer:
16 also th8s needs to be 16 letters long lol
Step-by-step explanation:
4 times 4 is 16
If e=9, find the value of 4e
Answers
Answer:
y = a e bx, b > 0
Step-by-step explanation:
took this test and got an A++
Answer:
36
Step-by-step explanation:
if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.
Question 25 of 55
Compare 5 and - 8. Which of the following is true?
O A. 15| > |-81 and 5 > -8
B. 151 > T-81 and 5<-8
O C. 151 = 1-8) and 5 >-8
O D. 151 < |-81 and 5 >-8
Plz answer it will be nice thanks
Answers
EXPLANATION:
5 is less than 8 (it’s 8 cause it’s in the lines) but 5 is more than -8
Hope this helps
Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.
Answers
Step-by-step explanation:
x = eggs of Ayyub
y = eggs of Bran
z = eggs of Curtis
x + y + z = 48
y = x + 1
z = 1.5y = 1.5(x + 1)
now we are using the second and third equation in the first :
x + (x + 1) + 1.5(x + 1) = 48
x + x + 1 + 1.5x + 1.5 = 48
3.5x + 2.5 = 48
3.5x = 45.5
x = 45.5/3.5 = 13
y = x + 1 = 13 + 1 = 14
z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21
for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.
48/3 = 16
so, everybody should end up with 16 eggs.
therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).
jack makes 55$ for 6 hours of work. How much does he make per hour
Answers
Answer:
$9.16
Step-by-step explanation:
55/6=9.16
Dan made 85% of his free throws. If he took 45 shots how many did he make?
Answers
Answer:
38
Step-by-step explanation:
85%=.85
So 45 × .85 = 38.25
38 shots he made.
Hope this helps
Work Shown:
85% = 85/100 = 0.85
85% of 45 = 0.85*45 = 38.25
Rounding to the nearest whole number, we get the result 38
As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.
The circumference of a circle is 12.56 feet. What is the circle's area?
Answers
[tex]\huge \sf༆ Answer ༄[/tex]
As we know, Circumference of the circle can be expressed as :
[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]
where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.
[tex] \sf2\pi r = 12.56[/tex][tex] \sf \: r = \dfrac{12.56}{2\pi} [/tex][tex] \sf \: r = \dfrac{12.56}{2 \times 3.14} [/tex][tex] \sf \: r = \dfrac{12.56}{6.28} [/tex][tex] \sf \: r = 2 \: \: ft[/tex]Therefore, it's radius is 2 feet.
Now, let's calculate its area using the formula ~
[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]
plug the value of r (radius) as 2.
[tex] \sf3.14 \times {2}^{2} [/tex][tex] \sf3.14 \times 4[/tex][tex] \sf12.96 \: \: ft {}^{2} [/tex]Area of circle is 12.96 ft²
its graphing linear inequalities
if u can help that would be nice
Answers
Answer:
y>_ 5/3x+3 is the answer.
Step-by-step explanation:
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information?
A
The average weight gain of a kitten on a newly developed brand of kitten food is also 0.3 lbs. a month.
B
The average weight gain of an adult dog on a newly developed brand of adult dog food is also 0.3 lbs. a month.
C
The average weight loss of a puppy on a newly developed brand of puppy food is 0.3 lbs. per month.
D
none of the above
Answers
Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 feet wide. What is it’s length?
Answers
Answer:
Im pretty sure the answer is 5.
Step-by-step explanation:
PLEASE HELP ASAP WITH#4
Answers
B.
Explanation:
Over what interval is the graph of
y=-2 + 1x - 2 increasing?
Answers
What is 16 divided by 5%=?
Answers
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320
Explanation: divide 16 by 5% on your phone calculator
I need help ! This paper is due tmr
Answers
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answers
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.
Answers
Answer:
13+4=17,17/64=3-8=-5
Step-by-step explanation:
this is the solution
Step-by-step explanation:
Let x be the number subtracted from 13 such that the difference is 13-x
divide that resulting difference by 11, then it becomes (13 - x) / 11
Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8
the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide
both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2
Karl’s rectangular vegetable garden is 20 feet by 45 feet, and Makenna’s is 25 feet by 40 feet. Whose garden is larger in area?
Answers
Answer:
Makennas
Step-by-step explanation:
Area of rectangle = length * width
Area of Karl's garden = 20 * 45 = 900ft²
Area of Makenna's garden = 25 * 40 = 1000ft²
1000 is greater than 900 therefore makennas garden has a greater area than Karls garden
Hence, Makenna's garden is larger in area than Karl's because 1000 > 900.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answers
Answer:
44.6 megabytes
Step-by-step explanation:
If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.
261= 100
? = 17.1
It means that (17.1x261)/100 = 44.631
If we round our answer it equals 44.6
What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password? a. 39 b. 900 c. 399 d. 9000 Please select the best answer from the choices provided. A B C D.
Answers
We want to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.
We will see that the correct option is D: 9,000
The total number of different combinations is given by the product between the number of options for each selection.
Here we have 4 selections.
First character.Second character.Third character.Fourth character.Now let's find the number of options for each of these:
First character: 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Second character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Third character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Fourth character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}The total number of different combinations is just the product of these 4 numbers:
C = 9*10*10*10 = 9,000
So we can conclude that the correct option is D.
If you want to learn more about combinations, you can read:
https://brainly.com/question/2280026
Answer:
✅ D. 9000just took the test
Determine whether the relation is a function. (8, 5), (6, "-2)," (4,-9), (2, "-6)," (4,7)
Yes Or No
Answers
Answer: No
Step-by-step explanation:
Because 4 is used 2 times in the x coordinates it is NOT a function
The graphs below have the same shape. What is the equation of the blue graph?
Answers
Answer:
B. G(x)=(x-2)^2 + 1
Step-by-step explanation:
the graph shifts two to the right x^2 turns into (x-2)^2
and the y value shifts from 0 to 1 (+1)
together, we get (x-2)^2 + 1
:)
40% of _______ is 16
Answers
Answer:
40
Step-by-step explanation:
40/100=0.4
0.4 x 40= 16
so 40% of 40 is 16
Answer:
,40
Step-by-step explanation:
40% of 40 is equal to 16
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 54 and 66?
A.79.9%
B.77.9%
C.81.9%
D.78.9%
Answers
The probability that a data value is between 54 and 66 is 81.9%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
The z score is given by:
[tex]z = \frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 62, σ = 4
For x = 54:
[tex]z=\frac{54-62}{4}=-2[/tex]
For x = 66:
[tex]z=\frac{66-62}{4}=1[/tex]
P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%
The probability that a data value is between 54 and 66 is 81.9%
Find out more on z score at: brainly.com/question/25638875
