Three zeroes of a third-degree polynomial are given, with the graph passing through the point (3,6). To find the equation of this, first, let us set up how a 3rd-degree polynomial factored out should look like:
y = a(x+b)(x+c)(x+d).
Since the zeroes of the function are -3, -2, 1, the equation will look like y = a(x+3)(x+2)(x-1). To solve for a, plug-in x = 3 and y = 6 from the point (3,6). After replacing the variable a in the equation with the answer, you will have the solution for the problem.
Third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9) then the polynomial p(x) is (3/20)(x-1)(x+2)(x+3)
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
-3 is a root... (x+3) is a factor
-2 is a root... (x+2) is a factor
1 is a root... (x-1) is a factor
p(x) = a(x-1)(x+2)(x+3)
(3, 9) is on graph so p(3)=9
9=a(3-1)(3+2)(3+3)
9=a(2)(5)(6)
9=60a
Divide both sides by 60
a=9/60
a=3/20
p(x) = (3/20)(x-1)(x+2)(x+3)
Hence, third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9) then the polynomial p(x) is (3/20)(x-1)(x+2)(x+3)
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ2
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Answer:
[tex]0.225 \Omega =225 m\Omega[/tex]
Step-by-step explanation:
We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes
[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]
Help me please. Jejdjfnrttkfkrk
Answer:
I say the answer is going to be C
Step-by-step explanation:
What is the value of:
a. 9^-1/2
b. (1/8)^-1/3
Answer:
a=5/9
b=24/9
Step-by-step explanation:
Four employees of Papa Tony's Pizza are cleaning up at the end of a busy night. There is a list of 43 clean-up tasks that need to be completed. If each employee does the same number of tasks, how many tasks should each employee do? Solve. Explain how you interpreted the remainder.
Answer:
43÷4=10R3
Each employee should do 3 tasks each, with a remainder of 3.
fraction and percent word problem
From 2012 to 2014, the cost of limes fell by 20%. Farmers increased the cost of limes by 20% from 2012 to 2013. How much did the cost fall from 2013 to 2014, after the farmers were removed?
(A) 20%
(B) 33.3%
(C) 50%
(D) 66.6%
(E) 80%
Answer:
Step-by-step explanation:
Ruth bought two watermelons. The first watermelon was 21.6 pounds, and the second watermelon was 9.07 pounds. How many pounds of watermelon did Ruth buy?
pounds
Matt have 2 cookies, while christine have 2 more than matt how many cookies will they have if the add them altogethe?.
Answer:
6 cookies
____________________
Christine has 2 MORE than Matt.
2 + 2 = 4(Christine)
4 + 2 = 6(total)
it is a three digit whole number it is divisible by 2 it is divisible by 4 it is divisible by 5 it is divisible by 3 it is divisible by 6 it is divisible by 9 it is less than 300 it is greater than 150 it is a multiple of 90
Answer:
Is it perhaps one hundred and eighty (80)
Answer:
180
Step-by-step explanation:
180/2=90
90x2=180
180/4=45
180/5=36
180/6=30
180/9=20
the answer is 180 because it is less than 300, more than 150, and all of those numbers get whole numbers when they are divided. if you needed to know it is 2 sets of 90.
What is the domain of the function on this graph?
Answer:
[tex] - 6\leqslant x \leqslant 6[/tex]
[-6 6]
Divide.
1.61÷0.35
Enter your answer in the box.
2 times a number less 4 is 20
Answer:
68?
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Let the number be x
4x- 12=20 (12 less than 4 times a number is 20)
4x= 20 +12
4x=32
x=8
Hope this helps!!
please help i need to check my work
Answer:
{-2, 5}
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
x^2 − 3x − 10 = 0
Step 1: Factor left side of equation.
(x+2) (x−5) = 0
Step 2: Set factors equal to 0.
x + 2 = 0 or x − 5 = 0
x = −2 or x = 5
Those are the steps that the calculator said to do ^
Answer:
you got this
Step-by-step explanation:
The image point of A after a translation right 4 units and down 2 units is the point B(4,−5). Determine the coordinates of the pre-image point A.
Answer:
THE ANSWER
Step-by-step explanation:
Hope it helps❤️
Answer:
(0, -3)
Step-by-step explanation:
Think of a number. Double the number. Add 200. Divide the answer by 4. Subtract one-half the original number. What is the value of the result?
Answer:
50
Step-by-step explanation:
If the scale factor of volumes of 2 similar shapes is 15.625
what will be the scale factors of lengths?
Answer:
If the scale factor is one, it means that corresponding sides are equal in length. In this case the shapes would be congruent (ie identical) rather than similar. They have the same shape, the same angles and the same size.
Step-by-step explanation:
45 divided by 855 show your work!
Answer:
45 divided by 855 is a very odd number however 855 divided by 54 is 19 ... because 45 multiply by 19 is 855
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2/1 or 20/10
Step-by-step explanation:
the line moves up 2 times every 1 time it moves right.
helppppppoopoppppppppp
Answer:
Conversion of 25m to centimeters: 2500cm
Volume is 2500m^3 (meters cubed)
Step-by-step explanation:
25m x 100cm (that's how many are in a meter) = 2500cm
Volume Formula: length x width x height (or l x w x h)
Length: 50m
Width: 25m
Height: 2m
Therefore, the volume is...
l x w x h
= 50m x 25m x 2m
= 2500m^3
solve th variables for x,y,z
Answer:
X=180-(65+65) =50
Z is 180-65 = 115
y =30
Step-by-step explanation:
Answer:
x = 50° , y = 30° , z = 115°Step-by-step explanation:
Solved in the attachment!! HOPE IT HELPS YOU!!Question is below!!!!!!! Please help
Answer:y=10
Step-by-step explanation:u see the right side numbers increase by 7
Help if I don’t do this imma get kicked out
Answer:
A = (-2.5, -1.5)
B = (4.5, -3.5)
Step-by-step explanation:
X coordinates come first, and A is in between -2 and -3 at -2.5, and B is between 4 and 5 so we have 4.5
Then we have y coordinates, and A is between -1 and -2 so -1.5, and B is between -3 and -4, so -3.5.
y^2 -y-2 help me................
Answer:
hope it helps you............
[tex]\bold{Hewo!!}[/tex]
--------------------------
ANSWER :[tex]\sf{=(y~+~1)~(y-2)[/tex]EXPLANATION :[tex]\sf{Factor~y^2 - y-2:}~(y~+~1)~(y-2)[/tex]
[tex]\sf{y^2-y-2}[/tex]
[tex]\sf{Break~the~expression~into~groups:}[/tex]
[tex]\sf{=(y^2~+~y)~+~(-2y-2)[/tex]
[tex]\sf{Factor~out~y~from~y^2~+~y:~y(y~+~1)[/tex]
[tex]\sf{Factor~out~-2~from~-2y-2:~-2(y~+~1)[/tex]
[tex]\sf{=y(y~+~1) -2(y~+~1)[/tex]
[tex]\sf{Factor~out~common~term~y~+~1}[/tex]
[tex]\sf{=(y~+~1)~(y-2)}[/tex]
Hope It Helps !
#LearnWithBrainly
[tex]\underline{\large\huge{\mathfrak{Answer~:}}}[/tex]
[tex]\sf{Miwsow}[/tex]
The graph shows the savings in Andre's bank account. What is the slope of the line?
Answer:
m=5
Step-by-step explanation:
you have to use the formula y2-y1/x2-x1.
y2= 60
y1= 40
60- 40= 20
x2= 4
x1= 0
4-0= 4
20/4= 5
hope this helps
For a Brainly please help me
A car travels at a rate of 60 miles per hour for 4 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. What is the domain of the function?
Question 2 options:
0≤y≤4
0≤x≤60
0≤x≤4
0≤y≤60
Answer:
Step-by-step explanation:
what number can be divided into 2 without a equal groups without a remainder A 331 B 485 C 588 D 693
Answer:
c
Step-by-step explanation:
588/2= 294
can someone help me figure out if the anwser is a or b? photo below :)
The easiest way to solve this is that in A, it shows 2 solid lines. Since you can see greater than and less than or equal to, there shouldn't be two solid lines, but one solid and two dotted lines.
Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?Please this is for my homework
Answer:
$0.70
Step-by-step explanation:
5 × $0.36 = $1.80
$2.50 - $1.80 = $0.70
I hope this helped!
Simplify 9 - 3(5-4x)
Answer:
12x-6
Step-by-step explanation:
9-3(5-4x) distribute
9-15+12x subtract
-6+12x rearrange
12x-6
6.
The graphs of f (x) and g(x) are shown.
Solve for the value of k for which g(x) = f( x + k)
Answer:
k = - 3
Step-by-step explanation:
Given f(x) then f(x + k) is a horizontal translation of f(x)
• If k > 0 then a shift left of k units
• If k < 0 then a shift right of k units
Here g(x) is the graph of f(x) shifted 3 units right , then
g(x) = f(x - 3) with k = - 3
x tends to 0 (sinax-sinbx)/x
Answer:
1xxx double answer po
Step-by-step explanation:
akoooooooooooo
bahalaaaaaaaaaa
what is the sum of 25.234 and 14.454
What is the sum of 25.234 and 14.454
25.234
14.454
_______ +
39.688
25.234 + 14.454 = 39.688 ✔️
