Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function.
Type the correct answer in the box.
This is the function.
Answers
Using the Factor Theorem, it is found that the function is given by:
[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:
[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]
[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]
[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]
From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.
[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]
[tex]-330a = -13.5[/tex]
[tex]330a = 13.5[/tex]
[tex]a = \frac{13.5}{330}[/tex]
[tex]a = 0.0409[/tex]
Hence:
[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]
To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382
Answer:
first guy is wrong
Step-by-step explanation:
my teacher said it's wrong, when I find out the right answer ill put it here
Related Questions
Please help!
Triangle ABC has angle measures as shown. Show work. Complete sentence.
(a) What is the value of x?
(b) What is the measure of angle CBA?
(c) What is the measure of angle CAB?
(d) When these 3 interior angles of a triangle are added together, what does it equal?
Answers
9514 1404 393
Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
(a)The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
__
(b)∠CBA = (3x -20)° = (3·22 -20)° = 46°
__
(c)∠CAB = 2x° = 2(22)° = 44°
__
(d)The sum of a triangle's interior angles is 180°.
Antony spends £244 on a plane ticket and €110 on airport tax. Using £1 = €1.12, what percentage of the total cost does Antony spend on airport tax? Give your answer rounded to 1 dp.
Answers
(98.2132857 / 244) x 100 = 40.2517
Round to one dp :
40.3%
Jane, Andre, and Maria pick apples. Andre picks three times as many pounds as Maria. Jane picks two times as many pounds as Andre. The total weight of the apples is 840 pounds. How many pounds of apples does Andre pick?
Answers
Answer:
Andre picks 252 lbs of apples
Step-by-step explanation:
Maria picks 84
84 x 3 is 252
252 + 252(2) + 84 = 840
You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.
Answers
Answer:
70
Step-by-step explanation:
Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).
When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:
⇒ Vertex D(-2, 2) becomes D'(-2, -2),
⇒ Vertex E(1, 5) becomes E'(-5, 1),
⇒ Vertex F(4, -1) becomes F'(1, 4),
This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.
Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).
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The question is attached on the picture
thank you...
Which of the following rational algebraic equation is transformable to a quadratic equation?
Answers
Answer:
Option AStep-by-step explanation:
Possible options are A and B as the other two have no variables in their denominators and the numerators are of degree 1.
Now, option A, it has two different denominators involving the variable s. If you multiply all the terms by the product of the two 8s(s + 2), then you get a quadratic equation.
The option B. If you perform same operation, multiply all the terms by m(m + 1) this will result in degree 3 polynomial, which is a cubic equation but not the quadratic.
So the only option is A
Help me with this please
Answers
Answer:
178 maybe tell its right or wronv
An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation
Answers
Answer:
a sign
Step-by-step explanation:
Reading Readiness, Inc. has provided you its list of accounts and balances as of January 31. The Controller has asked you to prepare an Income Statement for the month ended January 31. Use the information included in the Excel Simulation and the Excel functions described below to complete the task.
Answers
The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:
Reading Readiness, Inc.
Income Statement
For the month ended January 31
Sales Revenue $175,500
Less:
Sales Returns 4,700
Sales Discounts 6,000
Net Sales $164,800
Cost of Goods Sold 67,700
Gross profit $97,100
Expenses:
Salaries and Wages $25,900
Depreciation Expense 13,800
Rent Expense 24,000
Operating expenses $63,700
Operating income $33,400
Interest Expense 1,600
Income before tax $31,800
Income tax expense 7,700
Net income $24,100
Data and Calculation:
Gross profit percentage = 59% ($97,100/$164,800 x 100)
Thus, the net income after deducting the income tax expense is $24,100.
Learn more: https://brainly.com/question/24257787
Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answers
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
Graph the line that represents the equation 3y = 2x + 9.
Please show a photo!! I need answer ASAP
Answers
4/8 x 4/8 i dont care if you answer want to be fwen :)
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
4/8×4/8
16/64
Pls help can’t figure it out
Answers
Y = 20
Let me know if you want me to show my work (:
Which expressions are equivalent to the one below? Check all that apply.
5 to the 3rd power times 5x
Answers
C and B sorry if I responded late I looked it up on my answer sheet
x^2-6x+13 step by step to vertex form
Answers
Identify the common difference of the sequence: -8, -1, 6, 13,...
Please do not post suggestions to go to random sites for the answers. I'm on a timed test. Don't waste my time.
A. -6
B. -7
C. 7
D. 6
Answers
Answer:
c positive seven because to find the common difference we have subtract -1from-8 that's I (T2-T2)
NEED ANSWER FAST FOR BRAINLIEST (MUST GIVE EXPLANATION)
Louise's filling to 2 gallon buckets with water the equation Y equals 0.4 X models the number of gallons of water in the first bucket after X minutes this graph shows the number of gallons in the second bucket after X minutes which statement is true
A- The second bucket will be completely filled five minutes before the first bucket
B-The first book it will be completely filled five minutes before the second bucket
C-The second book it will be completely filled 11 minutes before the first bucket
D-The first bucket will be completely filled 11 minutes before the second bucket
Answers
Let's see
y=0.4xWhen y becomes 2 right?
[tex]\\ \sf\longmapsto 0.4x=2[/tex]
[tex]\\ \sf\longmapsto x=2/0.4[/tex]
[tex]\\ \sf\longmapsto x=5mins[/tex]
Option B
Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?
Answers
Nick's needs to walk 2,085 feet more to get to the library.
Given:
1 mile = 5,280 feet
Distance from Nick's school to his house = 3195 feet
Recall,
Nick’s house is between his school and the library, which is one mile apart
So,
Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house
= 5,280 feet - 3,195 feet
= 2,085 feet
Therefore,
Nick's needs to walk 2,085 feet more to get to the library.
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Find x and y intercept 5x + 4y = 8
Answers
The x-intercept is: x= 8/5
The y-intercept is: y= 2
Answer:
(8/5, 0)
Step-by-step explanation:
5x - 4(0) = 8
5x = 8
x = 8/5
HELP SOMEBODY PLEASE I NEED IT NOW HURRY!!!
Answers
Answer:
Rational square root
√144 - 12
√400 - 20
√ 100 - 10
√ 81 - 9
√ 169 - 13
irrational square root
√ 190 - 13 & 14
√ 250 - 15 & 16
√ 120 - 10 & 11
√ 160 - 12& 13
√ 320 - 17 & 18
please help.... fast
Answers
Answer:
HLStep-by-step explanation:
It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.
I'm confident that this is the answer.
Given matrices A and B shown below, find (−4)A+(−9)B.
Answers
see the answer in the attached picture.
Need answer please !!
Answers
Answer:
Step-by-step explanation:
Least common denominator is 10
there are 10/10 portions in the whole circle
1/2 = 5/10
2/5 = 4/10
10/10 - 5/10 - 4/10 = 1/10
How do you close a revenue account?
A)
Credit Capital; debit Revenue
B)
Debit Capital; credit Revenue
C)
Debit Income Summary; credit Revenue
D)
Credit Income Summary; debit Revenue
Answers
Answer:
D)
Credit Income Summary; debit Revenue
[tex]x^{2} +2x-24[/tex]
Answers
Rose and Liz both belong to a club of 20 members. A committee of 4 is to be selected at
random from the 20 members. Find the probability that both Rose and Liz will be
selected
Answers
Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be selected.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Club has 20 members, hence [tex]N = 20[/tex]The committee has 4 members, hence [tex]n = 4[/tex]Rose and Liz are 2 of the members, hence [tex]k = 2[/tex]The probability that both are selected is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]
0.0316 = 3.16% probability that both Rose and Liz will be selected.
A similar problem is given at https://brainly.com/question/24826394
Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogs
would he eat in 12 minutes?
Answers
answer question right or else
Answers
Answer:
60
Step-by-step explanation:
yes, it's a question
have a great day
Watson and Alva each have the same total number of toy cars and trucks Watson has 4 boxes. Each of his boxes has 7 cars and 2 trucks. Alva
has 2 boxes. Each of his boxes has 11 cars and the same number of trucks
How many trucks are in each of Alva's boxes?
Answers
Answer:
Alva has 7 trucks in each box.
Explanation:
You need to determine the total number of toys Watson has. Watson has 4 (7+2) = 4(9) = 36 toys.
Set 36 equal to an expression for the number of toys Alva has. Using t for the number of trucks, 36 = 2 (11+t).Then, solve the equation.
36 = 2(11+t) 36 = 22 + 2t 14 = 2t7 = tSo how many trucks are in each of Alva's boxes?
7 Trucks!The number of trucks that Alva has is 7.
How many trucks does Alva have?A linear function is a function that is made up of a single variable that is raised to the power of one.
The general form of a linear equation is:
y = mx + b
Where:
y = dependent variable b = constant m = independent variableThe first step is to determine the total number of toy cars and trucks that Watson has.
Total number of toy cars and trucks that Watson has = (4 x 7) + (4 x 2)
= 28 + 8 = 36
Since Watson and Alva have the same number of toy cars and trucks, it means that Alva would also have 36 toy cars and trucks.
The equation that represents the total number of toy cars and trucks that Alva has is:
(2 x 11) + (2 x t) = 36
22 + 2t = 36
36 - 22 = 2t
14 = 2t
t = 14 / 2
t= 7
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calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest
Answers
Answer:
41550
Step-by-step explanation:
eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help
Answers
Answer:
200
Step-by-step explanation:
dude ur in college how do you not know this?