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
Directions: Find the value of x.
Answers
100+49=149
Then take square root of 149 to undo the the squaring of c and it should be around 12.207 :)
Answer:
approximately 7 cm
Step-by-step explanation:
I’m not absolutely sure so double check
In the 2004 Summer Olympics, Adam van Koeverden of Oakville, Ontario, won two medals. He won the gold medal in the men’s 500 m kayak race, with a time of 1 min 37.9 s. He also won the bronze medal in the 1000 m race, with a time of 3 min 28.2 s. In which race did he row with greater speed?
Answers
Answer:
Adam van Koeverden at the 2004 Olympic at Athens. Van Koeverden paddled to victory in the Men's K1 500 m kayaking event, adding a gold medal to the bronze he won days earlier in the 1000 m to become Canada's first double medallist in the summer Olympics since Donovan Bailey and Clara Hughes at Atlanta in 1996.
Step-by-step explanation:
Pls mark me as brainliest
To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?
Answers
Answer:
option b
Step-by-step explanation:
have a great day
pls mark as brainliest
Answer:
B
Step-by-step explanation:
What is the equation of the line -3 x - 2 y= 30 in slope intercept form
Answers
Answer:
[tex]y=-\frac{3}{2}x-15[/tex]
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
So, all we have to do is make y the subject.
[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]
Answer:
y = (3/2)x - 15
Step-by-step explanation:
For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.
Original:
-3x - 2y = 30
and we want y to be the subject, so we start moving terms:
-3x = 30 + 2y
-3x - 30 = 2y
now it's just a matter of dividing both sides by 2 to give y as the subject
(-3/2)x - 15 = y
y = (-3/2)x - 15
Solve the equation for x. *x-3x+5 = 20 X + X =
Answers
Answer:
5
Step-by-step explanation:
sorry if im wrong :(
A normal conversation is about 10^7 times the threshold of hearing. Compute the intensity level (in decibels) for a normal conversation.
Answers
Answer:
70
Step-by-step explanation:
The sound of a normal conversation 3 is times intense than the sound of a computer.
What is sound intensity?It is the energy flow per unit area. It refers to the product of pressure and velocity of particles in a fluid medium, which is equivalent to the power received per unit area.
Let us say the sound intensity of the quietest noise a person can hear is 60 decibels. So the sound intensity of computer is 20 decibels.
Sound intensity of a normal conversation/ computer sound, will be:
[tex]SI=\frac{60}{20} =3[/tex]
Therefore, the sound of a normal conversation 3 is times intense than the sound of a computer.
See more about sound intensity at brainly.com/question/17062836
Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)
Answers
Answer:
0.6
Step-by-step explanation:
Lets plug these points in:
[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]
Rationalise 10/√7-√2
Answers
[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
.Factor 20x2 + 68x - 160
Answers
Answer:
4(5x-8) (x+5)
Step-by-step explanation:
4(5x^2+17x-40)
4(5x-8) (x+5)
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company
Answers
Solving Steps:
0.4x + 80 = 0.5x + 40
-0.1x + 80 = 40
-0.1x = -40
x = 400 miles
tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?
Answers
Answer:
5437
Step-by-step explanation:
Subtract the original amount 6,719 and 1282
you get 5,437
Hope this helps!
Have a nice day! :D
Mark brainliest if possible pls :)
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answers
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
I need the answer ASAP
Answers
Answer:
Step-by-step explanation:
49 i Think I dont know but your part A is correct
Answer:
49 For sure is your answer
I need step by step solution..
the general solution of cosx-sin3x=cos2x is..??
Answers
Answer:
I am doiiinnnnnnnnngggggg
Which choice is the correct graph of [x1 < 5?
A 4
B
C
D
E
-
F
5
A. Graph A
O B. Graph B
C. Graph
ОО ОООО
O D. Graph D
O E. Graph E
OF. Graph F
Answers
Answer:
B
Step-by-step explanation:
Da"B"a"B"y
2 B so
"B" graph "B"
↑that explains it
Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
Answers
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
Learn more here: https://brainly.com/question/12185438
In which quadrant does the point (3 , 19) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answers
Answer:
A.
Quadrant I
Step-by-step explanation:
Quadrant I= Both co=ordinates positive.
Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).
Answers
Answer:
9 unit²Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
The area is:
A = 3*3 = 9 unit²IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
Answers
c-9
to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people
25-9
thus, your expression to represent the amount of parents would be
c-9
Hope this helped you- have a good day bro cya)
what number is in the Tenths place for 315.84
Answers
Answer:
The number in the tenths place is 8
Step-by-step explanation:
Answer:
8.
Step-by-step explanation:
The first number after the decimal represents the tenths place. 315.84 8 is right after the decimal so it's in the tenths place.
Dos rectas se cortan formando un ángulo de 135°. Si se sabe que la recta final tiene una pendiente igual a 4, podríamos indicar que las rectas son:
Paralelas
b.
Semirectas
c.
Secantes
d.
Perpendiculares
Answers
Las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)
Las dos rectas en cuestión no pueden ser paralelas pues sus pendientes son distintas y, por consiguiente, se intersecan en algún lugar del plano.
Tampoco pueden ser semirrectas pues el enunciado indica que existen dos rectas y las rectas no tienen principio ni fin.
Mucho menos pueden ser perpendiculares, pues el ángulo es distinto a 90°.
En consecuencia, las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)
Invitamos cordialmente a ver esta pregunta sobre rectas: https://brainly.com/question/21478732
The average distance from Earth to the Moon is approximately 384,400,000 kilometers.
What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?
A 3.844 x 10^4 kilometers
B 3.844 x 10^5 kilometers
C 3.844 x 10^7 kilometers
D 3.844 x 10^8 kilometers
Answers
9514 1404 393
Answer:
D. 3.844 × 10^8 kilometers
Step-by-step explanation:
To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.
Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...
3.844 × 10^8 km
PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!
Answers
Answer:
y = [tex]\frac{3}{4}[/tex] x
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive
A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. a red 3
Answers
Answer:
1/13
Step-by-step explanation:
Total number of cards = 52
no.of sample space n(s) = 26
no.of favourable cases n(E) = 2
probability of getting red 3 p(E)= n(E) / n(s)
or, 2 /26
or, 1/13
PPPPLLLSSS HELP THIS IS WORTH SIXTY PERCENT OF MY GRADE. I DONT GET HOW SINCE IT ONLY TWO QUESTIONS BUT IT IS. PLEASE HELP
1. What is the value of the expression 15⋅6-2^2⋅8+4^3 is ______
2. What is the value of the expression 2^3+2^2⋅2+6-2^1⋅2^0-1 is ______
Answers
Answer:
122; 19Step-by-step explanation:
#115 ⋅ 6 - 2² ⋅ 8 + 4³ =15 ⋅ 6 - 4 · 8 + 64 = 90 - 32 + 64 = 58 + 64 = 122#22³ + 2² ⋅ 2 + 6 - 2¹ ⋅ 2⁰ - 1 =8 + 4 · 2 + 6 - 2 · 1 - 1 = 8 + 8 + 6 - 2 - 1 = 22 - 2 - 1 = 20 - 1 =19BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,
Answers
Answer:
36
Step-by-step explanation:
72 divided by 2 = 36
whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook
Answers
Answer:
7/8
Step-by-step explanation:
You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8
Plsssss help meeeee
The question and options are in the photo
Answers
Answer:
X = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5 + 2x = 3
2x = 3 + 5
2x = 8
x = 8 / 2
x = 4
answer is A. x = 4
Step-by-step explanation:
brainliest plz
Find the product of 44.6 and 2.34.
Answers
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
help me quick please --4x-7-3x+4=25
Answers
Answer:
x = 32Step-by-step explanation:
4x - 7 - 3x + 4 =25
=> 4x - 3x = 25 + 7
=> x = 32 (Ans)