20.
Find a quadratic function to model the values in the table.
A. y = -2x^2 - 3x + 3
B. y = 3x^2 + 3x - 3
C. y = -3x^2 - 3x - 3
D. y = 2x^2 + 3x + 2
Answers
Answer:
B. y = 3x^2 + 3x - 3
Step-by-step explanation:
Find the function rule.
y = 3 x ^2 + 3 x − 3
\table[[x,y],[-1,-3],[0,-3],[3,33]]
The quadratic function to model the values in the table is,
⇒ y = 3x² + 3x - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values of x and y in the table are,
⇒ x = - 1, 0, 3
⇒ y = - 3, - 3, 33
Now, We know that;
The standard form of the quadratic equation is,
⇒ y = ax² + bx + c
Put x = - 1, y = - 3;
⇒ - 3 = a (- 1)² + b (- 1) + c
⇒ - 3 = a - b + c .. (i)
Put x = 0, y = - 3;
⇒ - 3 = a (0)² + b (0) + c
⇒ - 3 = c
Put x = 3, y = 33;
⇒ 33 = a (3)² + b (3) + c
⇒ 33 = 9a + 3b - 3
⇒ 36 = 9a + 3b
⇒ 36/3 = 3a + b
⇒ 3a + b = 12 .. (ii)
From (i);
⇒ - 3 = a - b + c
⇒ - 3 = a - b - 3
⇒ a - b = 0 .. (iii)
Solve for (i) and (iii), we get;
⇒ a = 3, b = 3
Hence, The quadratic function to model the values in the table is,
⇒ y = ax² + bx + c
⇒ y = 3x² + 3x - 3
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Related Questions
Pre college need help
Answers
Answer:
C
Step-by-step explanation:
Ben left town a at 22:25 and arrived at Stone b at 2:40 the next morning how long did is Journey take
Answers
Answer: The journey took 4 hours and 15 minutes.
y=3x+5 what are the missing values
A.) ONLY (2,11)
B.) ONLY (3,13)
C.) BOTH (2,11) and (3,13)
D.) NEITHER
Answers
Answer:
A
Step-by-step explanation:
so first substitute 2 into the x so 3*2=6 then and 5+6= 11 then substitute 11 into the y and boom it works. (3,13) doesnt work because if you substitute them in 3*3=9 then 9+5=14 but we needed 13 so only (2,11) works.
Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°
커
O isosceles
equilateral
scalene
acute
obtuse
right
equiangular
Answers
Answer:
obtuse isosceles
Step-by-step explanation:
the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.
since the angle is >90, the triangle is obtuse
2/5+1/2=====================
Answers
Answer:
9/10
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
9/10
Decimal Form:
0.9
п
What is the end behavior of the polynomial function?
1
8
B
4
2
6
2
2
8
B
X
-4
6
o As X->-co, then Y---
As X-→-00, then y0
As X-0, then y →-00
ne X -> then V -> 0
Answers
Answer:
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity
Step-by-step explanation:
hope this help
dont know if this is correct
The end behavior of the polynomial function is as x -> ∞, y -> -∞
How to determine the end behavior?From the graph of the polynomial, we have the following highlight:
As x approached infinityThe function approaches negative infinityThe above highlights mean that:
As x -> ∞, y -> -∞
Hence, the end behavior of the polynomial function is as x -> ∞, y -> -∞
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What is the simplified form of the fraction below?
30
*
O A.
OB.
C.
olo
D.
لا اعر
Answers
Answer:
A. 30÷6 = 5
24÷6=4
=4/5.
Step-by-step explanation:
sssssssssssssssssssssss
What should be done to both sides of the equation in order to solve -5m = -40?
A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.
Answers
B. Divide by -5
Answer:
B.Divide by -5
Step-by-step explanation:
-5m= -40
divide bothe sides by -5
m= -40/-5
m= 8
Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?
Answers
56x^2+21x+96x+36
56x^2+117x+36
f(-x)=3x^2+4x-4
find f(-x)
Answers
A copy machine makes copies 32 per minute. How long does it take to make 168 copies
Answers
Answer:
5.25m
Step-by-step explanation:
32 papers will make in 1 minute
(168 copies/32copies)×1min = 5.25m
Find the square root of the following: 36
121
Answers
121 square root of it is 11
6. do Full body scan, Part II. The table below summarizes a data set we first encountered
in Exercise 6.32 regarding views on full-body scans and political affiliation. The differences in
each political group may be due to chance. Complete the following computations under the null
hypothesis of independence between an individual's party affiliation and his support of full-body
scans. It may be useful to first add on an extra column for row totals before proceeding with the
computations.
Party Affiliation
Republican Democrat Independent
Should
264
299
351
Answer Should not
38
55
77
Don't know/No answer 16
15
22
Total
318
369
450
(a) How many Republicans would you expect to not support the use of full-body scans?
(b) How many Democrats would you expect to support the use of full-body scans?
(c) How many Independents would you expect to not know or not answer?
Answers
Using the independence between an individual's party affiliation and his support of full-body scans, it is found that:
a) 57 Republicans would be expected to not support the use of full-body scans.
b) 305 Democrats would be expected to support the use of full-body scans.
c) 18 Independents would be expected to not know or not answer.
The independence between an individual's party affiliation and his support of full-body scans means that no matter the political party, the proportions for each option would be the same.
In the sample, there are 318 + 369 + 450 = 1137 people.
Item a:
38 + 55 + 77 = 170 people do not support the use of full-body scans.They should be equally divided between parties, hence:[tex]\frac{170}{3} = 56.67[/tex]
Rounding, 57 Republicans would be expected to not support the use of full-body scans.
Item b:
264 + 299 + 351 = 914 people support the use of full-body scans, hence:
[tex]\frac{914}{3} = 304.67[/tex]
Rounding, 305 Democrats would be expected to support the use of full-body scans.
Item c:
16 + 15 + 22 = 53 people do not know or do not answer, hence:
[tex]\frac{53}{3} = 17.67[/tex]
Rounding, 18 Independents would be expected to not know or not answer.
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What is the prime factorization of 72?
A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2
Answers
Answer:
the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =
Step-by-step explanation:
2. Solve the equation and check.
8x-8= 7 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answers
In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry?
I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer
Answers
Answer:
10%
Step-by-step explanation:
If 40% failed chemistry then 60% passed chemistry.
If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.
If we let p' represent failing physics and c represent passing chemistry, then ...
P(p'|c) = P(p'c)/P(c)
P(p'|c) = 6%/60% = 0.10 = 10%
If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.
__
Your answer is correct.
To solve this problem, we can use conditional probability.
Let's assume that there were 100 students in the final exam.
According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.
We can see that 25% of the students failed physics, and 19% of the students failed both chemistry and physics.To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]
We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).
Therefore,
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]
So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.
Explain two ways you can benchmark percents to find 60% of 280
Answers
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
To find 60% of 280 we first find 10% of 280 which is 28. 6 x 28 = 168.
To find 60% of 280 we first find 50% of 280 which is 140. Now we add 10% which we calculated before: 140 + 28 = 168.
Answer:
Step-by-step explanation:
Explain two ways you can benchmark percents to find 60% of 280
1) 280 : 100 * 60 = 168
2) 280 * 0.6 = 168
In 20P9 what does the "20"
represent?
A. Permutation
B. The number of items in the set.
C. The number of objects selected from the set.
Answers
Answer:
It is b
Step-by-step explanation: Because only one that makes sense
in a class of strength 60, 75% like to become teachers. how manu dont like to be teachers?
Answers
No. of people don't like to be teacher
= 100% - 75% = 25%
[tex] \frac{25}{100} \times 60 \\ = 15[/tex]So, 15 number of students doesn't like to be teacher
—
Find the 13th term of the arithmetic sequence – 5x + 7, -11x + 5, -17x + 3
Answers
Answer:
maybe 13
Step-by-step explanation:
To get in shape for the upcoming track season two brothers, Scott and Brian, begin running home after school. Scott runs at a rate of 6 mph and Brian runs at a rate of 4 mph. If they leave school at the same time, Scott arrives home a half-hour before Brian. How long does it take Brian to get home from school
Answers
It takes Brian 1.5 hours to get home from school
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.
For Brian:
4 = d/t
d = 4t
For Scott:
6 = d / (t - 1/2)
d = 6t - 3
4t = 6t - 3
2t = 3
t = 1.5 hours
Therefore it takes Brian 1.5 hours to get home from school
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Q2). Let A={1,2,3,4} B={a,b,c} which of the following are relation from B to A?
(i) {(c,a) (c,b) (c,1)}
(ii) {(c,4) (b,3) (c.2)}
Answers
Step-by-step explanation:
Given sets are :
A = {1,2,3,4} and B = {a,b,c}
(i)
if 5c-2=3c, then 24c=
Answers
Answer:
24
Step-by-step explanation:
Step-by-step explanation:
24 is 3×8
so, when
3c = 5c-2
then
8×3c = 24c = 8×(5c-2) = 40c - 16
If Y has exactly 2 positive integer factors then Y is a prime number. if so how?
Answers
Step-by-step explanation:
yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.
these are the 2 positive integer factors.
if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.
if the number can be divided without remainder by another number, then we are not dealing with a prime number.
but if your teacher did not have these default factors in mind, then no :
example : 15
15 has only 2 factors : 3 and 5.
both are positive integer numbers.
and yet 15 is not a prime number.
but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options.
Answers
Answer:
Step-by-step explanation:
the first ine make sense to me
if not right sorry
Answer:
0.5in and 2in
Step-by-step explanation:
It is the answer
no link fast but righ and if you get the answer right can you help me with other question
Answers
Answer:
12 inches
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
113.04 = 1/3*3.14 ( 3)^2 h
113.04 = 9.42 h
Divide each side by 9.42
113.04/9.42 = h
12 = h
12 inches
Answer:
Height = 12 in
Step-by-step explanation:
Volume Cone = 1/3(πr²h)
113.04 = 1/3(3.14)(3²)(h) [tex]\longmapsto[/tex] Note that the 1/3 and 9 simplify
113.04 = 3.14(h)(3)
37.68 = 3.14(h)
h = 12
-Chetan K
If you own a car with an assessed value of 23,300 in the state of West Virginia, which has a 1.66% tax rate, what would your property taxes be for your vehicle
Answers
Answer:
Average County Tax Rate
0.520%
(Mercer County)
Property Taxes
$121
(Annual)
Step-by-step explanation: I'm assuming this is the answer, if you can please can you mark me Brainliest.
multiply
( 2 x – y ) ( 3 x + y )
Answers
Tell me if you want step by step!!
Hope this helped. :)
[tex](2x-y)(3x+y)\\\\=2x(3x+y) -y(3x+y)\\\\=6x^2 +2xy - 3xy -y^2\\\\=6x^2 -xy -y^2[/tex]
9 - 3 ÷ 1/3 + 1 = x
pls help
Answers
Answer:
Step-by-step explanation:
x=9
She calculates the percentage of applicants in her sample that are in poverty. Is this percentage a parameter or a statistic, and why
Answers
Answer:
A statistic
Step-by-step explanation:
This is because she only examined the applications that she selected.
The given percentage represents statistic.
What is percentage?
" Percentage is defined as the hundredth part of a given quantity."
According to the question,
Given,
Collection of data applicants in form of sample
Percentage calulation based on sample
Parameter : Parameter represents the data of whole population, here she collects sample.
parameter is not the correct answer.
Statistic : Statistic represents the sample of the data and she has calculated percentage of the sample.Statistic is the correct answer.
Hence, the given percentage represents statistic.
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