Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Answers
Answer:
f(x) = [tex]\frac{1}{7}(x+5)(x-1)(x-4)[/tex]
Step-by-step explanation:
Let the equation of the give cubic function is,
f(x) = p(x - a)(x - b)(x - c)
Here, a, b, c and d are the x-intercepts of the given graph.
Since, x-intercepts given in the graph are x = -5, 1 and 4,
Equation of the curve will be,
f(x) = p(x + 5)(x - 1)(x - 4)
Since, the graph of this function passes through (2, -2) also
-2 = p(2 + 5)(2 - 1)(2 - 4)
-2 = -p(14)
p = [tex]\frac{2}{14}[/tex]
p = [tex]\frac{1}{7}[/tex]
Therefore, equation will be,
f(x) = [tex]\frac{1}{7}(x+5)(x-1)(x-4)[/tex]
Related Questions
Milo wants to make guacamole for a party. Avocados are on sale for 89 cents each.
How many avocados can Milo buy
he has $3.74?
Answers
Answer:
4 avocados
Step-by-step explanation:
$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
Answers
Answer: 50 inches
Step-by-step explanation:
Please do a step by step so that i can show work.
Answers
Answer:
See this attachment...
what dose -0.1c = -10 equal
Answers
-10/-0.1= 100
C=100
Find the missing length to each problem.... (please help me triangle inequality theorem *geometry*)
Answers
Answer:
ML=6,CD=7,AC=12,UW=22
Step-by-step explanation:
21.(2x+20):(x+19)=1:2 // x+19=4x+40 // 3x=-21 // x=-7// ML=2x+20=20-14=6
22.(x-3):(4+x)=1:2 // 4+x=2x-6 // x=10 // CD=x-3=10-3=7
23.(x-1):(x+5)=1:2 // x+5=2x-2 // x=7 // AC=x+5=7+5=12
24.(20+x):(x+31)=1:2 // x+31=40+2x // x=-9 // UW=x+31=-9+31=22
What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`
Answers
Answer: B
`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`
PLEASE EXPLAIN THIS 6th GRADE MATH
Answers
Answer:
[tex]b = l\times w[/tex] to guarantee that both formulas are the same.
Step-by-step explanation:
Dimensionally speaking, the volume is the cube of length. By direct comparison, we find that [tex]l,w,h[/tex] have length units, whereas [tex]b[/tex] have area unit, that is, the square of length.
Hence, [tex]b = l\times w[/tex] to guarantee that both formulas are the same.
The population of a town was 489 in 1970. The population has been growing at a rate of 23 percent each year. What is the population of the town in the year 1995
Answers
Answer:
86,484
Step-by-step explanation:
The population growth can de determined by using this formula
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value = 489
R = interest rate 23
N = number of years =1995 - 1970 = 25
489 x ( 1.23)^25 = 86,484
Expand and simplify
(x+4)(2x-1)
Answers
Answer:
2x^2+7x−4
Step-by-step explanation:
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Mark me Brainliest?
HELP PLEASE I WILL
MARK BRAINLIEST
Answers
X=-6
The answer is A
Answer:
a). 2 and -6
your welcome!!!
Use elimination to solve the system x - 5y = 20 and x + 3y = -4 for x
Answers
Answer:
Step-by-step explanation:
Answer:
the x is 5
Step-by-step explanation:
x=5y+20:
x=5y+20
x=(5)(-3)+20
x=5 (simplify boy sides of the equation)
Find the value of x in the rectangle ABCD.
Answers
Answer:
52°
Step-by-step explanation:
here's your solution
=> we know that the measure of angle of rectangle is 90°
=> 38° + X = 90°
=> X = 90° - 38°
=> X = 52°
hope it helps
Answer:
52 because D is a right angle,so 90 - 38 will give you 32
another interesting thing that can help you in math, the opposite sides if a quad are always equal, in this case D and B is equal,and C and A is equal.If you add C and a it will give you 180 degrees and if you add d and b it will give you 180 degrees
so 180 + 180
An annual pass to a zoo costs $43.25 per person. If the park sold $3762.75 of passes, which equation can you use to find the total number of annual passes purchased?
Answers
Answer:
3762.75 ÷ 43.25= 87 passes
.........
Find the selling price. Cost to store: $50
Markup: 10%
The selling price is $
Answers
Apply the distributive property to factor out the greatest common factor.
24 + 18+ =
Answers
Answer:
42
Step-by-step explanation:
there is no parenthesis so all that is left is to add the 2 numbers together
Answer:
That's wrong this is the answer Factor 6 out of 24 + 18 t .
the answer would be : 6 ( 4 + 3 t )
Step-by-step explanation:
Written as a rate, 32 miles in 8 hours would be ____ miles per hour.
Answers
Ximena just accepted a job at a new company where she will make an annual salary
of $50000. Ximena was told that for each year she stays with the company, she will
be given a salary raise of $3000. How much would Ximena make as a salary after 5
years working for the company? What would be her salary after t years?
Answers
Answer:
65,000
Step-by-step explanation:
3000 x 5 = $15,000
15,000 + 50,000 = 65,000
Answer:
$65000
50,000 + 3,000t
Step-by-step explanation:
A sugar cone for ice cream is shaped like a cone. If a sugar cone has a slant height of 4 inches and a diameter of 2 inches, what is the lateral surface area of the cone? Use 3.14 for pi. [Hint: Exclude the base.]
A. 18.8 square inches
B. 15.7 square inches
C. 37.7 square inches
D. 12.6 square inches
Answers
Answer:
12.6 sq. inches.
Step-by-step explanation:
I got this right on a test.
Answer:
12.6
Step-by-step explanation:
I got it right on the test
If anyone can help and could you put the work as well
Answers
Answer:
there ya go bud hope this helps
A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult
tickets. How many adult tickets were sold?
Answers
Answer:
350 adult tickets were sold.
Step-by-step explanation:
let x = number of adult tickets
number of student tickets -> x-71
x - 71 + x = 629
2x - 71 = 629
2x = 700
x = 350
help, please!!! I will mark brainlisit
Answers
Answer:
I beleve the answer is 112/350 and x/100
I'm not sure how to find the percent (sorry) but I hope this helps :)
Please help me with this. (show work.)
Answers
GCF: greatest common factor of any two (or more) numbers
Top left:
GCF of 24 and 60: 12
Top right:
GCF of 12 and 18: 6
Bottom left:
GCF of 18 and 42: 6
Right left:
GCF of 30 and 72: 6
A ticket to the state fair cost $15. The equation y=15x relates the total cost of tickets (y) to the number of tickets purchased (x). Identify the unit rate in the equation.
Answers
Answer:
15
.
Step-by-step explanation:
Ticket cost = $15
Cost equation :
y = 15x
x = number of tickets purchased
y = total cost of x tickets
The unit rate in the equation is the Coefficient of x ; which is the sales price of one ticket.
Hence, the unit rate is $15
1. What is the slope of the graph below?
Answers
Answer:
Step-by-step explanation:
2/3
There was 7/16 of a pizza left over.Matt ate 2/7 of the leftover pizza.What fraction of the whole pizza did matt eat
Answers
Answer:
14/112
Step-by-step explanation:
7/16 x 2/7 = 14/112
Answer:
14/112 (7/56)
Step-by-step explanation:
please help i cant seem to figure this out
Answers
Answer:
117649
Step-by-step explanation:
7 to the power of 2 is 49 then bc its in () do 49 to the power of 3 = 117649
What is m D?
mZD =
PLZZZ help
Answers
Answer:
Angle D is 63
Step-by-step explanation:
oAngle B is congruent and correponding to angle D
Angle B is 63 degrees
so therefore, angle D is also 63 degrees
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D
-Lil G
Daniel purchases a cell phone plan from Best Mobile. She pays $50 plus $0.10 for each text message she sends. Danielle's bill was $70 for the first month. Which equation shows how to find m, the number of text messages Danielle sent in the first month?
Answers
Answer:
h is the correct answer
Step-by-step explanation:
please mark me brainliest
If BE=9cm, find GE
What is the answer
Answers
Answer:
GE = 3 cm
Step-by-step explanation:
BE = 9 cm
Since G is the centroid, therefore:
[tex] GE = \frac{1}{3}(BE) [/tex] => Centroid theorem
Plug in the value
[tex] GE = \frac{1}{3}(9) [/tex]
GE = 3 cm
A store advertises 15% off an item that regularly sells for $300. what is the sale item? how is a 15% discount similar to a 15% decrease? Explain.
Answers
Answer: $255
Step-by-step explanation:
A store advertises 15% off an item which sells for $300. The sale item will then be calculated as:
= $300 - (15% × $300)
= $300 - (0.15 × $300)
= $300 - $45
= $255
The sales price is $255.
A 15% discount is similar to a 15% decrease because in both cases, one has to subtract the value of 15% from the selling price.