create a polynomial in the form ax^3+bx^2+cx=0 that has solutions of x=0,x=-5 and x=11, where a=3
Answers
3x^3-18x^2-165x=0
Since we are given the solutions, we can rewrite them.
x=-5 is (x+5)
x=11 is (x-11)
x=0 is just x
Now we can write our equation:
3x(x+5)(x-11)=0
*3 comes from the a being 3
Now we multiply, I’d recommend starting by using FOIL on the last two first and getting;
3x(x^2-6x-55)=0
Then distribute the 3x:
3x^3-18x^2-165x=0
Related Questions
Hi everyone,can someone please help me with this question please help me I really really need help please answer it correctly
Answers
Answer:
the fourth which passed through (0;2)
Answer:
graph 4
Step-by-step explanation:
If the slope is positive then the graph is linear increasing function.
If the slope is negative then the graph is linear decreasing function.
Graph 1) slope = 4/3
Graph 4) slope = -3/2
So, Graph 4 is linear decreasing function.
You use 2 1/3 feet of string to make one bracelet. How many can you make with 10 1/2 feet of string?
Answers
If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram, the amount left after 5 years is
30 grams
32 grams
22 grams
40 grams
28 grams
Answers
Answer:
30 grams
Step-by-step explanation:
50-42=8
8÷2=4
4=1 year
5×4=20
50-20=30
Hope u can understant
Arthur’s dinner bill totaled $13.72, before sales tax and tip.
Sales tax at the restaurant is 5.8%.
After sales tax, he left a 15% tip.
What was Arthur’s total bill, including sales tax and tip?
A.13.84
B.14.52
C.15.78
D.16.70
Answers
Answer:
16.70
Step-by-step explanation:
i am sure this is the correct answer 100 percent sure
Solve for x
A )180
B)55
C)115
D)82.5
Answers
Answer:
55
Step-by-step explanation:
AB // DC
∠B + ∠C = 2x + 15 + x = 180
3x = 165
x = 55
Answer: B. 55
Step-by-step explanation:
You need to know that within one parallelogram, the same-side interior angles are supplementary angles, meaning that they add up to 180°.
---------------------------------------------------------------------------------------
Given
(2x+15)+x=180
Expand parenthesis
2x+15+x=180
Combine like terms
3x+15=180
Subtract 15 on both sides
3x+15-15=180-15
3x=165
Divide 3 on both sides
3x/3=165/3
x=55
Hope this helps!! :)
Please let me know if you have any questions
(7th grade math question)
Evan bought a pair of shoes for $120 there is a discount on the shoes for 10% off and the tax is 5%. What is the total price?
A) 105.46
B) 113.40
C) 108.00
D) 109.36
please answer soon
Answers
It's B I think. I might have done it wrong. But I pretty sure it's B
Answer:
It’s B
Step-by-step explanation:
What's the diffrence between an Arithmatic sequence and a Geometric sequence?
Answers
Answer:
An arithmetic sequence has a constant difference between each term.
A geometric sequence has a constant ratio.
Circle all of the equations
that are nonlinear.
A. y = 5 + x
B. xy = 4
C. y = 7x4
D. 2x - y = 8
Answers
Answer:
B and C
Step-by-step explanation:
Just not linear lol
what is 2/5 divided by 3 1/10
Answers
Answer:
20/155
Step-by-step explanation:
Answer:
4/31
Step-by-step explanation:
Plz Help Its Math and very confusing! (Btw this is her lil sister alexis!) Don't tell her i don't have this link so i use her brainly???
Answers
Answer:
Step-by-step explanation:
Round the ratio 4:8
to 5 then divide (/), =51
Can the sides of a triangle have lengths 1, 4, and 5?
Answers
Answer:
No, it can't. The sum of any two sides must be bigger than the third side to form a triangle.
Step-by-step explanation:
1+4 = 5
HELP PLEASE!
Could someone give me the answer ASAP since it is due very soon please! Thank you :)
Answers
Answer:
27/8
Step-by-step explanation:
3 3/8
you multiply the denominator by the whole number and then add into numerator. so
8 x 3 = 24
24+ 3 =27
Answer= 27/8
what is 18.6% of 11,400
Answers
(multiple choice) plz help me!!
Answers
[tex]8 \sqrt{5} is \: the \: length[/tex]
Step-by-step explanation:
[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]
There is a bag filled with 2 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 different colours?
Answers
Answer:
58.5% (94886869494949)
Step-by-step explanation:
EZ math. (but take note of my username)
A basketball team decided to sell cookies to raise money for an upcoming tournament. The players charged $3.00 for each cookie they sold. In 4 days, they sold 28 cookies. How much money could the team earn from selling cookies for six days at that same rate? * 25 points $126 $84 $42 $7 (Helping my daughter with math and i don't understand help pls :)
Answers
Answer:
187
Step-by-step explanation:
Answer:
$126
Step-by-step explanation:
They need to know how much money they would make in 6 days so we need to find out how much each day they make. so it would be 28/4 = 7 so they sold 7 cookies each day so it would be 7 * 6 (The days and the cookies multiplied then we do this by 3 dollars to figure out how much money) = 42 cookies * 3 = 126. I am glad I could help you!!
-9 + 5y - 7y + 3y = ?
Answers
Answer:
-9 + y
Step-by-step explanation:
For this problem, you have to combine like terms.
-9 is the only number that doesn't have a variable.
5y, -7y, 3y have all the the same variables, so we'll combine those.
5y - 7y = -2y
-2y + 3y = 1y
Solution: -9 + y
4 divided by 2 (2/5) ???
Answers
Answer:
as decimal = 2
as fraction = 1/2
Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?
Answers
Answer:
The number of ways Kathy can paint her die is 52 ways
Step-by-step explanation:
The permutation and combination related question is answered as follows;
The number of faces in the six-sided die = 6
The number of colors available for painting the six-sided die = 2 colors
Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;
n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂
Where;
₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30
₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1
₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4
₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12
∴ n = 30 + 2×1 + 2×4 + 12 = 52
The number of ways Kathy can paint her die, n = 52 ways.
HELP ! On #1 ASAP for math
Answers
Answer: 1=2x 2=(0, 1/4)
Step-by-step explanation:
A boat travels 438 km in 8 hours (with a constant speed). How far can it travel in 5 hours (with the same speed
Answers
=438km/8h
=54.75km/h
The boat can travel in 5 hours
=(54.75*5)km
=273.75km
Find the equation of the line whose slope is 1/3
and goes through the point (3, 1).
A. y= 1/3x
B. y= 1/3x + 1
C. y= 1/3x + 2
D. y= 1/3x + 8/3
Answers
Answer:
It means that when x = 3, y = 1, obviously when the first function expression takes 3, y = 1
I don’t understand can someone help me
Answers
11. Determine the measure of the angles below.
12. Two lines intersect to form the four angles shown in the figure. Which term does not accurately describe the pair of angles 1 and 4?
Answers
Answer:
11 - 125 and 55
12 - supplementary
Step-by-step explanation:
5x+20+3x-8=180
step 1 combine like terms
8x+12=180
step 2 subtract 12 from each side
8x=168
step 3 divide each side by 8
x=21
then you just plug in 21 to each equation to find that angle 1 = 125 and angle 2=55
Problem 11
Answers:
5x+20 = 1253x-8 = 55--------------------
Explanation:
The two angles shown here form a linear pair. They supplementary so they add to 180.
(5x+20)+(3x-8) = 180
(5x+3x) + (20-8) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
We then find the angles to be
5x+20 = 5*21+20 = 125
3x-8 = 3*21-8 = 55
Note how 125+55 = 180 to help confirm the answers
===================================================
Problem 12
Answer: B) Vertical angles
--------------------
Explanation:
Vertical angles are angles that form after intersecting two lines, and the angles are opposite one another. So one example of a vertical angle pairing would be angles 1 and 3. The other vertical angle pair of this diagram are angles 2 and 4. Vertical angles are always congruent to one another.
In this diagram, angles 1 and 4 are adjacent since they are next to each other. In other words, they share a common line (think of apartment neighbors sharing a common wall). Since they are adjacent angles, there is no way they are vertical angles.
Angles 1 and 4 are also supplementary since they form a straight line. They are a linear pair for very similar reasons. This allows us to rule out choices A, C and D.
Side note: the term "linear pair" means that the angles are adjacent and supplementary.
Solve for b
-11b+7=40
B=
Answers
Subtract 7 from both sides. Then divide by -11 on both sides. Remember: a positive mult./divide by positive equals a positive answer. Same works for negatives. If a positive and negative are used, then the answer is negative. I’ve attached the work.
GOOD AT MATH!! PLEASE HELPPP
Answers
Answer:
The answer is C
Step-by-step explanation:
*PLEASE ANSWER!!*
Denise and her family go out to dinner at a restaurant. The bill is $100. They leave a 20% tip for the server. How much money do they tip?
a.) $12
b.) $20
c.) $10
Answers
How much interest will Jamal owe when he graduates from college if he took out a $2,500 student loan during his last year of college? The interest rate was 5 percent and payments were deferred during that year
Answers
What is the value of the expression 22 + 62 ÷ 22? (1 point)
Answers
Answer: 22+62÷22
22+2.8181
24.8181
So 22+62÷22 is about 24.8181
hope this helps have a nice day❤️❤️❤️
Step-by-step explanation:
Answer:
22.73
Step-by-step explanation:
22+62=84
84/22=22.7380952381
The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.
Answers
Answer:
[tex]y = x^{2} + 3x + 1[/tex]
Step-by-step explanation:
Perimeter equals the sum of the lengths of the sides.
Let y = the length of the fourth side
[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]
[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]
[tex]x^{2} + 3x + 1 = y[/tex]