The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter your answer in the box.
Answers
AVR = (f (x2) - f (x1)) / (x2 - x1)
Substituting the values we have:
AVR = (204 - (-6)) / (10 - 0)
Rewriting we have:
AVR = (204 + 6) / (10 - 0)
AVR = 210/10
AVR = 21
Answer:
the average rate of change for f (x) from x = 0 to x = 10 is:
AVR = 21
Related Questions
Which solid figure has a base that is a polygon and a triangular faves that meet at a vertex
Answers
where the base is a polygon of 3 or more sides
The lower base of the frustum shown in the figure is a square 8 ft on each side. The upper base is a square 4 ft on each side. If the altitude is 6 ft, find the slant height. A. 6 ft B. 5.66 ft C. 6.32 ft D. 4 ft
Answers
the answer is the option C 6.32 ft
this answer is based on the fact that the inclined height should be greater than 6 and that is the only option available
A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $3.10 per pound of cashew nuts. Over the entire day, 134 pounds of the nut mixture were sold for $241.10. If p is the number walnuts and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=134p+3.10n=241.10 Determine the correct description and amount of pounds for walnuts and cashew nuts that were sold.
Answers
b) The solution to the system of equations can be found many ways. Choose your favorite (including posting on Brainly, if you like). It is
.. p = 83
.. n = 51
83 pounds of walnuts and 51 pounds of cashews were sold.
Answer: 83 pounds of walnuts and 51 pounds of cashew nuts.
Step-by-step explanation:
Let p be the amount of pounds for walnuts and n be the amount of pounds for cashew nuts that were sold.
Given : A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $3.10 per pound of cashew nuts.
Over the entire day, 134 pounds of the nut mixture were sold for $241.10.
Then, system of equation represents the given situation will be :-
[tex]p+n=134----------(1)\\\\p+3.10n=241.10----------(2)[/tex]
Eliminate (1) from (2), we get
[tex]2.10n=107.1[/tex]
Divide 2.10 from both sides , we get
[tex]n=51[/tex]
Put value of n in (1), we get
[tex]p+51=134\\\\\Rightarrow\ p=134-51=83[/tex]
Hence, the correct description will be : 83 pounds of walnuts and 51 pounds of cashew nuts.
look at the pictures below // please help // 50 points
Answers
NEED HELP RIGHT NOW. ASAP!!! PLZ PLZ PLZ HELP ME. YOU WILL GET BRAINLIEST. IF YOU ANSWER FIRST OR IF YOU ARE RIGHT!
Answers
Let's take to heart a important thing to remember, a circle has a sum of [tex]360[/tex]°. So, were going to really brake this down!
[tex]\boxed{x=107/5=21.400}[/tex]
[tex]\boxed{5*x-6-(101)=0} \\ \\ (Solving \ a \ single \ variable \ equation) \\ \\ 5x-107=0 \\ 5x=107 \\ \\ x=107/5=21.400 \\ \\ Hope \ this \ help![/tex]
x= 15
here is the work:
101 +37 = 138
138/2 = 69
5x-6 = 69
add 6 to each side
5x = 75
divide:
x = 75/5
x = 15
What is the volume of a cube with length 7 cm? V = lwh
Answers
Answer:
it is i also took da test
Step-by-step explanation:
The width of a rectangular prism is w centimeters. the height is 2 centimeters less than the width. the length is 4 centimeters more than the width. of the volume of the prism is 8 times the measure of the length, find the dimensions of the prism
Answers
w^2 - 2w = 8
w^2 - 2w - 8 = 0
(w-4)(w+2) = 0
w = 4 Or w = -2
However w cannot be less than 0
So w must = 4
Width is 4, height is 2, length is 8
Total Volume =64 which is 8(8).
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15) 3 × (5 + 10) 5 × (3 + 6) 15 × (1 + 2)
Answers
The sum of 15+30 = 45 and can be expressed as a multiple of prime factors:
(3^2)5
So (15+30) could be expressed as 9*5, but it can not be expressed as a non-repeating multiple of prime factors.
Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What is the cost of each type of ticket
Answers
Then 3x +y = $38
3x+2y =$52, solving simultaneously
we subtract the two equation,
-y = -14
thus; y =14
to get x we substitute y with 14
3x = 38-14
3x =24
x =8
Therefore, the cost of 1 adult ticket is $8 while the cost of children ticket is $14
△XYZ∼△DEF , YZ is 10 meters, XZ is 15 meters, and EF is 8 meters.
What is DF ?
____ m
Answers
Answer:
The measure of KL is 12 meters.
Step-by-step explanation:
It is given that △XYZ∼△DEF.
The corresponding sides of two similar triangles are proportional.
[tex]\frac{YZ}{EF}=\frac{XZ}{DF}[/tex]
[tex]\frac{10}{8}=\frac{15}{DF}[/tex]
[tex]10\times DF=15\times 8[/tex]
Divide both sides by 10.
[tex]DF=\frac{120}{10}[/tex]
[tex]DF=12[/tex]
Therefore we can say that if △XYZ∼△DEF, then the measure of DF is 12 meters.
can anyone help me with this
Answers
See the attachment for the table values.
Obviously, the patterns are similar in that each row is multiplied by some constant to get the next row. They are different in that the constants are different. 2 is used for the left column, so the reward grows less fast than in the right column where 3 is used.
The King's Plan 2 will only be cheaper if the number of squares being filled is less than about 5/8 of the number of squares in the original Plan 1.
(05.02 MC)Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
Can someone please explain step by step.
Offering all of my points and brainliest answer!!!!!
Please, Please, Please help me out
Answers
Let's separate the trapezoid into 3 shapes. Two triangles, and 1 rectangle.(I included an image of an isosceles trapezoid for reference)
First let's find the area of the triangles. We'll use this equation.a = areab = baseh = heighta = b · h · 0.5a = b · 3 · 0.5
We need to find the base of the triangle. To do this, we'll subtract 6 from 10, which equals 4. 4/2= 2 which is the base of the left and right triangle. Let me know if you're confused by that!!
a = 2 · 3 · 0.5a = 6 · 0.5a = 3The area of both triangles is 3.
Now we need to find the area of the rectangle. We'll use this equation.a = b · ha = 6 · 3a = 18
So the rectangle's area is 18, and both triangle's area is 3.18 + 3 + 3 = 24
Now we need to find the cost. 24 · 4 = 96
The answer is $96.
Hope this helps! :)
Answer:
96
Step-by-step explanation:
Solve using substitution
Answers
Isolate x in the first equation. Subtract 3y from both sides
x+3y = 8
x+3y-3y = 8-3y
x = 8-3y
So we can see that x is the same as 8-3y
Now move onto the second equation
3x - 5y = -18
3( x ) - 5y = -18 ... rewrite x so it has parenthesis around it
3( 8-3y) - 5y = -18 ... replace x with 8-3y; solve for y
24-9y - 5y = -18
24-14y = -18
24-14y-24 = -18-24
-14y = -42
-14y/(-14) = -42/(-14)
y = 3
If y = 3, then x is...
x = 8-3y
x = 8-3*3
x = 8-9
x = -1
The x and y values are x = -1 and y = 3
Together they pair up to form the ordered pair (x,y) = (-1,3)
The solution is (-1,3)
If you graph the two original lines, then they cross at (-1,3)
There are 190 students taking band, chorus, or both. If there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus?
70
60
10
120
Answers
The answer would be 10. I know this because I got it right on my assignment. Have a great day!
If there are 180 students taking band and 60 students in both band and chorus, then 180-60=120 students are taking only band.
Now:
120 students are taking band;60 students are taking both band and chorus;190 students in total.Then 190-(120+60)=190-180=10 students are taking only chorus.
Answer: correct choice is C.
Which of the following is an advantage of an observational study over a sample survey? A)Observational studies are not dependent on people’s responses, which may not be truthful.
B)Observational studies involve the random selection of subjects.
C)Observational studies do not manipulate variables.
D)Observational studies do not involve treatments.
Answers
Observational studies involve the random selection of subjects.
What is an observational study?An observational study is used in subjects like epidemiology, social sciences, psychology, and statistics to draw inferences from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical restrictions.
Observational studies are ones in which a researcher makes observations about his thoughts and views. He observes the risk and other effects before the actual test takes place.
This is usually the initial phase of research where observations are made for the suitability of certain things that are to be researched. There is an initial feasibility test conducted to identify whether the further research process is beneficial or not.
Therefore Observational studies involve the random selection of subjects.
To know more about observational studies follow
https://brainly.com/question/14487419
#SPJ2
Which of the following is equal to sqrt 50a^6b^7
Answers
To simplify [tex] \sqrt{50 a^{6} b^{7} } [/tex] we use the following identity: for positive values of a and b, [tex] \sqrt{ab}= \sqrt{a} \sqrt{b} [/tex]
That identity allows us to re-write what we are given as [tex] \sqrt{50} \sqrt{ a^6 } \sqrt{b^{7} [/tex]. Let us now consider each of these separately.
Though 50 is not a perfect square it can be written as 25 x 2 and 25 is a perfect square. Thus, we obtain [tex] \sqrt{50}= \sqrt{25} \sqrt{2}=5 \sqrt{2} [/tex]
Next we consider [tex] a^{6} [/tex] which is a perfect square as it is equal to [tex] (a^{3}) (a^{3}) [/tex]. Thus, [tex] \sqrt{a^{6}} = a^{3} [/tex]
Lastly, we consider [tex] b^{7} [/tex] which can be written as [tex](b^{1})( b^{6}) [/tex] and since [tex] b^{6} [/tex] is a perfect square we obtain the following: [tex] \sqrt{b ^{7} } =\sqrt{b ^{1}} \sqrt{b^6} = b^{3} \sqrt{b} [/tex]
Putting that all together we obtain [tex]\sqrt{50 a^{6} b^{7} }=25a ^{3}b ^{3} \sqrt{2b} [/tex]
David is filling five 3/4 quart bottles with a sports drink.His measuring cup only holds 1/4 quart.How many times will David need to fill tje measuring cup in order to fill the 5 bottels
Answers
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the person is not vaccinated is 50%. in certain geographic region, 25% of the people get vaccinated. if a person is selected at random , find the probability that he or she will contract the disease
Answers
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Answer:
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease. Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
How much interest would an account earn if 3,000 is invested at an interest rate of 4.8% compounded semiannually for 2 years
Answers
Total = 3,000 * (1 + .048/2)^2*2
Total = 3,000 * (1.024)^4
Total = 3,000 * 1.0995116278
Total = 3,298.53
Which equation can be rewritten as x + 4 = x2? Assume mc006-1.jpg
Answers
we have that
x + 4 = x²
step 1
raise to ^(1/2) both members
(x+4)^(1/2)=(x²)^(1/2)
(+-)√(x+4)=x
but remember that x>0
then
√(x+4)=x
the answer is the option C
Answer:
The answer is C
Step-by-step explanation:
Got it right on edge 2020
Which description compares the vertical asymptote(s) of Function A and Function B correctly?
Function A: f(x)= 1/ x+4
Function B
Both functions have a vertical asymptote at x=−4 .
Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x = 3.
Function A has a vertical asymptote at x = 4.
Function B has a vertical asymptote at x = 2.
Function A has a vertical asymptote at x=−4x=−4 .
Function B has a vertical asymptote at x = 2.
Answers
Function A has a vertical asymptote at x = -4.
The graph B has vertical asymptote is 2.
We have given function
A : f(x)=1/(x+4)
Since the rational function has the vertical asymptote at x=-4 then the denominator of function f(x) contains the term (x+4)
Function B :
What is the vertical asymptote?
A vertical asymptote is is a vertical line that guides the graph of function but is not part of it.
So from the graph we can see that the graph does not pass from the point at x=2
Therefore, the vertical asymptote is 2.
To learn more about the asymptote visit:
https://brainly.com/question/21678319
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -0.75m-0.5=2+0.25m
-2
-3
-4
-5
Answers
Rewriting we have:
-0.75m-0.5 = 2 + 0.25m
- (3/4) m- (1/2) = 2 + (1/4) m
To eliminate the fractions we must multiply both sides of the equation by -4
-4 * [- (3/4) m- (1/2)] = - 4 * [2+ (1/4) m]
3m + 2 = -8-m
Answer:
Each term of the equation can be multiplied by -4 to eliminate the fractions before solving.
The area of a rectangle is 16, and its diagonal is 68−−√. find its dimensions and perimeter.
Answers
A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the cost of 1 scarf, which equation could you use to find the cost of 1 scarf?
Answers
I did it on TTM and it was correct ^^
Answer:
3s+s=32
Step-by-step explanation:
The angles of triangle abc are in the ratio of 8:3:4. what is the maesure of the smallest angle
Answers
Which of the following best describes set of numbers? 6, 9, 12, 15, ... infinite alternating sequence finite geometric sequence infinite arithmetic series infinite arithmetic sequence?
Answers
Answer:
It is an infinite arithmetic sequence
Step-by-step explanation:
we are given a set of numbers:
6,9,12,15,...
As we can see that
9-6=3
12-9=3
15-12=3
So, given set of numbers are a sequence of arithmetic progression with common difference 3 and terms in the sequence are infinite.
Hence, it is an infinite arithmetic sequence
Which statement about the figure below is true?
Select one:
a. Points A, B, and E are not collinear.
b. Points C, F, B, and E are coplanar.
c. Points F, B, and C are collinear.
d. Points C, D, B, and F are coplanar.
Answers
Classify the polynomial 3x^5 by degree
A: cubic
B:quadratic
C:quintic
D:quartic
Answers
______________________________________________________
Note: The prefix "quint-" is ONE of the prefixes (other than "pent-") that means "5" ; and considering: "3x⁵ " ; we consider the "largest exponent value corresponding to a variable"— which, in the question, is "5" — as the "degree of the polynomial" .
______________________________________________________
Consider: "Choice: [A]: "cubic". This answer is incorrect.
This choice would be correct IF the polynomial was: " 3x³ " .
___________________________________________________________
Consider: "Choice: [B]: "quadratic" ; is incorrect.
This would refer to an equation, in "quadratic form" ; that is:
" ax² + bx + c = 0 ; { b[tex] \neq [/tex]0 } . " .
___________________________________________________________
Consider: "Choice: [D]: "quartic" ; is incorrect. This would refer to: " 3x⁴ " .
___________________________________________________________
The degree of the given polynomial [tex]3x^5[/tex] is quintic that is 5 and this can be determined by comparing the given polynomial with the generalized quintic equation.
Given :
Polynomial -- [tex]3x^5[/tex]
The following points should be remembered in order to determine the degree of any polynomial:
The generalized quadratic equation is represented by: [tex]ax^2 + bx + c =0[/tex]The generalized cubic equation is represented by: [tex]ax^3 + bx^2 + cx + d =0[/tex]The generalized quartic equation is represented by: [tex]ax^4 + bx^3 + cx^2 + dx+e =0[/tex]The generalized quintic equation is represented by: [tex]ax^5 + bx^4 + cx^3 + dx^2+ex + f =0[/tex]So, from the above points, it can be concluded that the degree of the given polynomial [tex]3x^5[/tex] is quintic that is 5. Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/2925460
Will graphs for these equations show parallel lines? Explain.
y=6x+1
y=6x-5
Answers
The reason why is because the two slopes for the equations are both 6 each. The equations are in y = mx+b form where m is the slope. The y intercepts are different (1 for the first; -5 for the second). So those two pieces of info lead to non-intersecting parallel lines.
Find the area of the shaded region of the trapezoid.
Answers
Trapezoid Area = (51 / 2) * 26
Trapezoid Area = 663
UN-shaded triangle area = .5 * base * height
UN-shaded triangle area = .5 * 23 * 26
UN-shaded triangle area = 299
SHADED Trapezoid Area = 663 -299
SHADED Trapezoid Area = 364