Find the average rate of change of the quadratic function [tex]f(x)[/tex] over the interval [tex]-2 \leq x \leq 3[/tex]. Use the following table, which shows the values of the function for various values of [tex]x[/tex].
a. 7
b. -7
c. 5
d. -5
![Find The Average Rate Of Change Of The Quadratic Function [tex]f(x)[/tex] Over The Interval [tex]-2 \leq](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/mMFKWOZpOHOGjYswgFjqIk6iqy4JLnCo.png)
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Related Questions
assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.
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Step-by-step explanation:
Given:
p=54 %=0.54
n=8
DEFINITIONS
Definition binomial probability:
[tex]P(X=x)=\frac{n !}{x !(n-x) !} \cdot p^{x} \cdot(1-p)^{n-x}[/tex]
Complement rule:
P( not A) = 1- P(A)
[tex]Addition rule for disjoint or mutually exclusive events[/tex]
[tex]P(A \text { or } B)=P(A)+P(B)[/tex]
Evaluate the definition of binomial probability at x=6
[tex]P(X=6)=\frac{8 !}{6 !(8-6) !} \cdot 0.54^{6} \cdot(1-0.54)^{8-6}=28 \cdot 0.54^{6} \cdot 0.46^{2} \approx 0.1469[/tex]
A line's graph is shown. Write an equation for the line.
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Answer:
[tex]y = 1[/tex]
Step-by-step explanation:
Given
Attached graph
Required
The graph equation
Pick any two points, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (3,1)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - 1}{3 - 1}[/tex]
[tex]m = \frac{0}{2}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0* (x - x_1) + 1[/tex]
[tex]y = 1[/tex]
Hence, the equation is:
[tex]y = 1[/tex]
A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet.
What is its volume, in cubic feet?
feet3
Answers
Answer:
504ft3
Step-by-step explanation:
V=Bh
V=(18x2) 14
V=36x14
V= 504
Answer:
volume = height × length ×width
volume =18×14×2
volume =504ft³
Helpppppp hurry and no links
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Step-by-step explanation:
6.3%
that is the correct answer
Hope I was of some help.
plsss help mee xoxox
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Answer:
length is 20, so width would be 16
Step-by-step explanation:
Create an equivalent expression for 9(5x - 4) by using the distributive property.
Answers
Answer:
3(15x-12)
Step-by-step explanation:
Could you help with some geometry questions today!
Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!
Anyways, please show all of you work and explain your thinking! There are 3 parts to this, please do all 3! Good luck!
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Answer:
A) 29, B) 18, C) 12Step-by-step explanation:
A) r = 29
Answered here: https://brainly.com/question/22226669B) The tangents to a circle have same length:
LK = LM4x - 2 = 3x + 34x - 3x = 2 + 3x = 5LM = 3*5 + 3 = 18
C) Use the intersecting secants theorem:
PQ*PQ = SQ*RQy² = (10 + 8)*8y² = 144y = 12Evaluating function rules
f(x)= -3x^2
f(x)=(1+x)^2
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Answer:
4x^+2x+1=0
Step-by-step explanation:
pls help me ahhh srry its math
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Answer:
c= 180-130
=50
d= 180-(50+60)
= 180-110
=70
Hey so can someone do my delta math for me
like i give u the questions and u answer yeah ok thanks
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HELP ME QUICKLY PLEASE IM GIVING BRAINLIEST!!!
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Answer:
its the second one
Step-by-step explanation:
What is the area of the following circle?
Either enter an exact answer in terms of 7 or use 3.14 for a
and enter your answer as a decimal.
T=4
units
HELP ME
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Answer:
16pi or 50.24
Step-by-step explanation:
What is the volume of this composite solid
Answers
explanation:
a paper cone with the radius 1.5 and height 4 inches is filled with shaved ice. assuming the ice completely fills the cone and forms a hemisphere above the cone, what is the total volume of the shaved ice to the nearest hundredth of a cubic inch ?
Answers
Answer: 9.42
Step-by-step explanation:
Answer:
16.49
Step-by-step explanation:
What is the length (magnitude) of the vector (-3,2)?
O A. Sqrt 13
OB. Sqrt 2
O c. 0
O D. 3
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Answer: sqrt 13
Step-by-step explanation: AP EX approved
PLS ANSWER GIVING 15 POINTS!!!
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Answer:
Instead of adding the exponents of 2 to get four you should just leave the exponent as two in the final answer.
for f(x) = 2x² + 3x-10 and g(x) = 3(x-2)
find fog (3)
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(f o g) = 2(9x^2 - 36x + 36) + 9x - 18 - 10
(f o g) = 18x^2 - 72x + 72 + 9x - 28
(f o g) = 18x^2 - 63x + 44
(f o g)(3) = 18(3)^2 - 63(3) + 44
= 162 - 189 + 44
= -27 + 44
= 17
Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution
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(sqrt (2x + 1))² = 3²
This will simplify into,
2x + 1 = 9
Solving for the value of x gives an answer of x = 4. This value is not an extraneous root as it satisfy the original equation even if it is inside the radical sign. (I hope this is right)
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45. Find the cost for each pound of trail mix and each pound of jelly beans.
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The cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
A store is having a sale on trail mix and jelly beans .
Let trail mix = T
and jelly beans = J
For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18.
i.e
5T + 3J = 18 -------------------------- (1)
For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45.
i.e
2T + 12J = 45 -------------------------------(2)
Now,
multiplying eq (1) from 4
20T + 12J = 72 -----------------(3)
Solving equation (3) and (2) the equation by elimination method
20T + 12J = 72 -----------------(3)
2T + 12J = 45 -------------------------(2)
subtracting equation (2) from (3)
18T = 27
T = 1.5
substituting the value of T in equation 1
5T + 3J = 18
5*1.5 + 3J = 18
7.5 + 3J = 18
3J = 18 - 7.5
3J = 10.5
J = 3.5
Hence, the cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .
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Help me plz will mark branialist
Answers
Answer:
8
Step-by-step explanation:
Select all the expressions that are equivalent to 4x+2.
A 8x+48 x plus 4
B 12(8x+4)1 half times open paren 8 x plus 4 close paren
C 12(2x+1)1 half times open paren 2 x plus 1 close paren
D 2(2x+1)2 times open paren 2 x plus 1 close paren
E 2x+2x+1+1
and one brainleiss
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D and E!!
Can someone plz help with this
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l
Marie left her briefcase at home and had to return to get it. State which point represents when she
turned back around to go home and explain how you arrived at that conclusion.
Answers
Assume that theta is a positive acute angle.
Given: sin theta=40/41
Find: cos2theta
SHOW YOUR WORK. First correct answer gets Brainliest.
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By utilizing trigonometric identities,we got cos 2θ = -1519/1681.
Given that sin θ = 40/41 and θ is a positive acute angle, we can find cos θ using the Pythagorean identity sin²θ + cos²θ = 1. Rearranging the equation, we have cos²θ = 1 - sin²θ.
Substituting the given value, we get cos²θ = 1 - (40/41)² = 1 - 1600/1681 = 81/1681.
Now, we can find cos 2θ using the double-angle identity cos 2θ = cos²θ - sin²θ.
Substituting the known values, we have
cos 2θ = (81/1681) - (40/41)² = 81/1681 - 1600/1681 = -1519/1681.
Therefore, cos 2θ = -1519/1681.
For more such questions trigonometric,Click on
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you pick a card, roll a die, and find the sum. How many different sums are possible?
Answers
step by step: there’s six sides to a dice
If we pick a card, roll a die, and find the sum , the different sums possible is 17.
What is Permutation and Combination ?A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
If we pick any card and roll a die
The sum possible is
The highest it can be would be 13(card) + 6(die) =19
the Lowest it can be would be 1(card) + 1 (die) = 2
So the different sums possible is 19-2 = 17.
To know more about Permutation and Combination
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Help help help help plz
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A student graphed an ordered pair on a coordinate plane that was located on the y axis and was 5 units above the origin. Write the ordered pair that the student graphed with these characteristics.
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If you want to graph a linear equation you have to have at least two points, but it's usually a good idea to use more than two points. When choosing your points try to include both positive and negative values as well as zero.
Example
Graft the function y = x + 2
Begin by choosing a couple of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values.
X Y = x + 2 Ordered pair
-2 -2 + 2 = 0 (-2, 0)
-1 -1 + 2 = 1 (-1, 1)
0 0 + 2 = 2 (0, 2)
1 1 + 2 = 3 (1, 3)
2 2 + 2 = 4 (2, 4)
Now you can just plot the five ordered pairs in the coordinate plane
picture13
At the moment this is an example of a discrete function. A discrete function consists of isolated points.
By drawing a line through all points and while extending the line in both directions we get the opposite of a discrete function, a continuous function, which has an unbroken graph.
picture14
If you only want to use two points to determine your line you can use the two points where the graph crosses the axes. The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept. The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).
picture15
The standard form of a linear equation is
Ax+By=C,A,B≠0
Before you can graph a linear equation in its standard form you first have to solve the equation for y.
2y−4x=8
2y−4x+4x=8+4x
2y=4x+8
2y2=4x2+82
y=2x+4
From here you can graph the equation as we did in the example above.
The graph of y = a is a horizontal line where the line passes through the point (0, a)
picture16
Whereas the graph of x = a is a vertical line that passes through the point (a, 0)
picture17
The scatterplot contains data points, including the
number of hours a ski lift operates (x) and the number
of people carried on it during that time (y).
The line of best fit is line v because it minimizes
the
distance from each point to the line.
HELPPOPPO
Answers
Step-by-step explanation:
what is the question? please provide a question.
Answer:
the line of best fit is line B because it minimizes the VERTICAL distance from each point to the line.
Step-by-step explanation:
edge 2021
Customers are charged a late fee of 20% of their bill. This person is a week late on a bill of $200.00. What should we charge for the late fee?"
Answers
Answer:
$40
Step-by-step explanation:
The circumference of a circle is 124 inches. Determine the radius. Round to the nearest tenthC = 2πr
124 = 2(3.14)r
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Answer:
radius:19.73521 Diamiter:39.47042 Area:1223.583
Step-by-step explanation: