Answer:
[tex]P(x)=x^3+x^2[/tex]
Step-by-step explanation:
Polynomials
Given the roots or zeros of a polynomial as x1, x2, x3, ...xn and the leading factor a, the polynomial can be expressed as:
[tex]P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)[/tex]
We are given the zeros of a polynomial as x1=0, x2=0 (multiplicity or zeros), and x3=-1, thus the polynomial is:
[tex]P(x)=a(x-0)(x-0)(x+1)[/tex]
Operating:
[tex]P(x)=a.x.x(x+1)[/tex]
[tex]P(x)=ax^2(x+1)[/tex]
[tex]P(x)=ax^3+ax^2[/tex]
Assuming a=1, the polynomial is
[tex]\mathbf{P(x)=x^3+x^2}[/tex]
angle a= 6x-5 degrees angle b=4x+45 degrees
Answer:
180
Step-by-step explanation:
Answer: the correct answer is 125°
Step-by-step explanation: i just had to get it wrong so i could get it right
How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5% per annum of simple interest?
[Irrelevant answers will be reported]
Answer:
2 years
Step-by-step explanation:
because 4.5 percent of 9000 is 405
405 times 2 is 810
so 2 years
At a regional soccer tournament, tickets for two adults and seven students cost $60. Tickets for three adults and eleven students cost $93. Determine the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is $, and the price of a student ticket is $
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
Find ln(-127.1).
this question must be at least 20 characters long so here’s some extra characters but that’s the whole question^
Answer:
The natural logarthim of a negative is undefined.
how do you work out the percentage increase
What is cos H for this triangle?
Enter your answer by filling in the boxes.
cos H=
Answer:
k/j
Step-by-step explanation:
i just took the test, good luck!
What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
Given the equations
1/4x + 1 1/2y =5/8 ..... 1
3/4x - 1 1/2y =3 3/8 ..... 2
Get the value of x
Add both equations
1/4x + 3/4x = 5/8+3 3/8
4x/4 = 5/8+27/8
x = 32/8
x= 4
Substitute x = 4 into equation 1
From 1;
1/4x + 1 1/2y =5/8 .
1/4(4) + 3/2 y = 5/8
1 + 3/2 y = 5/8
3/2 y = 5/8 - 1
3/2 y = -3/8
Cross multiply
24y = -6
y = -6/24
y = -1/4
Hence the solution {x,y) is (4, -1/4)
The system has only one solution
can someone help me with my math pels
Answer:
just do that quik mafs
Step-by-step explanation:
The cost of a pair of shoes is Rs. 1000 . The GST charged was '5%' . Find the bill amount andalso find share of CGST, and SGST.
Answer:
Bill amount = Rs. 1050
CGST share = SGST share = Rs. 25
Step-by-step explanation:
We are told that the GST charged was 5% and cost of a pair of shoes is Rs. 1000. Thus;
Bill amount = 1000 + (5/100) × 1000
Bill amount = Rs. 1050
Now, CGST and SGST are both usually half of GST rate.
Thus;
CGST rate = SGST rate = 5%/2 = 2.5%
Thus;
CGST share = SGST share = 2.5% × 1000 = Rs. 25
Explain how you can use the vertex form of a quadratic function to locate the vertex of the function's graph.
Answer:
quadratic function can find and write with the vertex and function the graph better.
Step-by-step explanation:
You have a standard deck of cards. What is the probability of drawing a heart or a face card?
Answer:
3/4
Step-by-step explanation:
brainly what is y = 5x + 8; (2, 16)
Answer:
for finding the parallel line its y= 5x+6
Step-by-step explanation:
for the slope and y intercept its slope+5
y intercept its (0,8)
hopes this helps.
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
The diameter of a circle is 14 meters what is its radius
Answer:
A circle of radius = 14 or diameter = 28 or circumference = 87.96 meters has an area of: 0.0006158 square kilometers (km²) 615.8 square meters (m²) 6.158 × 10 6 square centimeters (cm²) 6.158 × 10 8 square millimeters (mm²) 0.000237762 square miles (mi²) 736.491 square yards (yd²) 6628.42 square feet (ft²) 9.54492 × 10 5 square inches (in²)
Step-by-step explanation:
hey guys please help me oleaseee
Answer:
8'2
Step-by-step explanation:
Answer:
8'2
Step-by-step explanation:
In a class of 65 students, 10 students liked Maths but not English and 20 students liked
English but not Maths. If 5 students did not like both, how many students liked both subjects?
Answer: 30 students liked both.
step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.
Find the x-intercept and y-intercept
from the following linear equation:
-7x+ 4y= 56
x- intercept ([?], [ ])
y - intercept ([ 1.[])
Answer:
y=14+ 7x/4
x=8+ 4y/7
Step-by-step explanation:
move all terms to the side that do not contain the variable.
A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)
Answer:
113.97 degrees
Step-by-step explanation:
use the cosine rule for finding an angle
cosA = b^2 + c^2 - a^2
2bc
In the given triangle angle A is greatest than any other angle.
What is the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given sides of triangle, a=2cm,b=8cm,c=9cm
cosine law
Cos A = [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144
Cos B = [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36
Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex] = -13/52
A = Cos⁻¹ (141 /144 )
B = Cos⁻¹ (21/ 36 )
C = Cos⁻¹ (-13/52 )
Thus Angle A < Angle B < Angle C.
Therefore, Angle A is the greatest in the triangle.
Learn more about triangles here:
https://brainly.com/question/14712269
#SPJ2
Plz help. WIll give brainliest
Answer: 25.9
Step-by-step explanation:
hello can anyone help me ? here the question
Answer:
A. 1/5k - 2/3j and -2/3j +1/5k
Step-by-step explanation:
A. 1/5k - 2/3j and -2/3j +1/5k
B. 1/5k - 2/3j and -1/5k +2/3j
There is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
Not equivalent
C. 1/5k - 2/3j and 1/5j - 2/3k
There is a change in the variables
1/5k changed to 1/5j
-2/3j changed to -2/3k
D. 1/5k - 2/3j and 2/3j - 1/5k
The is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
The only equivalent expression is
A. 1/5k - 2/3j and -2/3j +1/5k
PLEASE ANSWER PLEASESEE
Answer:
I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you
Step-by-step explanation:
8x+4y=-3y
32+2y=7x-42
Choose the correct answer. Sally Situp pays $24.95 per month for her fitness center membership. If she works out twice a week for a year, how much does she pay for each visit?
Answer:
2.88
Step-by-step explanation:
24.95*12=299.4
299.4/104(bi-weekly training)=2.8788 This rounds to 2.88
Answer:$0.23
Step-by-step explanation:
Booker owns 85 video games.He has 3 shelves to put the games on. Each shelf can hold 40 games. how many more games does he have room for?
The amount of room he has for more games is 35. 3 times 40 = 120 - 85 = 35.
2x/ 4x4 - 2x
simplify
Answer:
x^5/2 - 2x
Step-by-step explanation:
Cancel terms that are in both the numerator and denominator
2
Combine multiplied terms into a single fraction
3
Combine exponents
Answer: x^5/2 - 2x
Step-by-step
PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
which expression is equal to the expression below?
(6•9)^5
Will give crown help
Answer:
-12,-2,8,48
Step-by-step explanation:
y=10x-2
If x is -1,
10(-1)-2
is -12
so y = -12.
The four boxes are -12,-2,8,48
Hope this helps plz hit the crown :D
6. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)
12 + (n-1)(3)
3,24, 27
0,9,27
12,24, 42
12, 21, 39
Answer:
[tex] A_1 = 12[/tex]
[tex] A_4=21[/tex]
[tex] A_{10}= 39[/tex]
Step-by-step explanation:
[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]
Two angles of a Triangle measure 55° and 22° What is the measure of the third angle of the triangle
A. 15°
B. 90°
C. 105°
D. 285°
Answer:
c would be the closest
Step-by-step explanation:
All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.