Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
Answers
Answer:
[tex]x^3-3x^2-10x+24[/tex]
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
[tex]x= 2, -3, 4[/tex]
[tex](x-2)(x+3)(x-4)[/tex]
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])
The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].
Related Questions
What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.
Answers
Answer:
4
Step-by-step explanation:
..........................
4y+13x-5+6y-x simplified
Answers
Answer:
[tex]12x+10y-5[/tex]
Step-by-step explanation:
[tex]4y+13x-5+6y-x[/tex]
Combine the like terms
[tex]12x+10y-5[/tex]
What is the equation of the line that passes through the point (-3,0) and has a
slope of -1/3
Answers
Step-by-step explanation:
slope= -1/3 (-3,0)
y=mx-or+b
y= -1/3(-3)+b
y= 3/3+b
y=1+b
0=1+b
b= -1
the equation is y= -1/3x-1
What is the value of x?
Answers
Answer:
x=30
Step-by-step explanation:
Find the slope of line:6x+3y=21
Answers
Answer:
-2
Step-by-step explanation:
6x+3y=21
Bring the equation to y=mx+c form
3y=21-6x
y=-2x+7
When comparing, m=-2
Slope m=-2
next, divide everything by three: y= -2x + 7, the slope would then be -2 & the y-intercept would be 7
An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?
Answers
Answer:
piece1: 14 feet
piece2: 16 feet
Step-by-step explanation:
piece1: x
piece2: x + 2
x + x + 2 = 30
2x + 2 = 30
2x = 28
x = 14
piece1: x = 14
piece2: x + 2 = 14 + 2 = 16
Length of longer piece = x + 2
Given x + x + 2 = 30, 2x = 28, x=14
Pieces are 14ft and 16ft long
A company ships two different products, one in smaller packages that weighs 12 pounds and the other in a 20-pound package. A shipment of nine packages weighs a total of 124 pounds. What is
the total weight of the smaller packages?
Answers
Answer:
The total weight of the smaller packages is 84 lb
What is the diagonal length of the iPad?
Answers
Answer:
9.2 inches
Step-by-step explanation:
7^2+6^2=C^2
49+36=C^2
85+C^2
√85=√C^2
9.2 in =C
^2 are exponents
what is the siope of a line that passes through the points (2, 3) and (4.-12)?
Answers
Answer:
-7.5
Step-by-step explanation:
Help me please this is a function questions need asap
Answers
Answer:
y hfaczdg eek Robocop teardrop outbound liquidz
PLEASE HELP I DONT KNOW HOW TO DO THIS AND ITS DUE IN 30 MINUTEs
Answers
Answer: Can you include a picture please.
Step-by-step explanation:
What is the answer??
Answers
Answer:
A
Step-by-step explanation:
5x-40=60
Its the answer
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.
Answers
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
solve the inequality -4x + 5 > 21
Answers
Answer:
x < -4
Step-by-step explanation:
Step 1: Write inequality
-4x + 5 > 21
Step 2: Solve for x
Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4Answer:
x < -4
Step-by-step explanation:
[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]
Hope this helps.
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answers
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
1. Mr. Samuels' bank account was in the red, at – $50. For two weeks, he worked at a few odd jobs and made $12, then $24, then $14. What will Mr. Samuels' bank account statement say after he deposits the money, he earned from working these odd jobs? Draw a number line and model the process that leads you to your ans
Answers
Answer:
0
please check the attached image for a number line
Step-by-step explanation:
Because Mr Samuels account is in the red, his account would be in the negative. Cash additions to the account would be an addition to the account. This would reduce the negative amounts in the account
-$50 + $12 + $24 + $14 = 0
Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.
Answers
Answer:
$5
Step-by-step explanation:
1=$5 so 2 hours = 10 SO 4hours ×$5= $20
Answer:
$5 per hour
Step-by-step explanation:
hope this helps :D
cheers man
When a question asks you to "Explain", what are you expected to do
AND
Answers
Answer:
they want to tell you why the answer is what it is
Step-by-step explanation:
Answer:
They are asking you "how" you managed to get your answer
Step-by-step explanation:
say the question is 5×5=25 and the question say Explain;"well if you add 5+5+5+5+5 is equals 25"
what is the anwser to the question 35−10+35−10÷5
Answers
Answer:
its 10
Step-by-step explanation:
-5 = -2x + 27 - 3x this has to be 20 characters so ignore this lollllll
Answers
Answer:
6 2/5=x
Step-by-step explanation:
Find X if PQR is an isosceles triangle. Please
Answers
Answer:
x=9
Step-by-step explanation:
because its isosceles, and as stated PQ = QR
so...
2x+1=3x-8
solve for x
x=9
Hope you are having a good day!
Answer:
The value of X in isosceles triangle is 9
What is the value of y
Answers
if h(z)=2z2-5z+7, find h(3c)
Answers
Answer: h(3c) = 18c2 - 15c + 7
Step-by-step explanation:
h(z) = 2z2 - 5z + 7
To find h(3c), replace each z with 3c.
h(3c) = 2(3c)2 - 5(3c) + 7
Now just simplify.
h(3c) = 2(9c2) - 5(3c) + 7
h(3c) = 18c2 - 15c + 7
See attachment for math work and answer.
What's the value of
z? - 3x + 1
when x = -2 and y = 42
Answers
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
what is (b-8)x4? math homework:)
Answers
Answer:
4b-32
Step-by-step explanation:
(b-8) •4
=4(b-8)
=4b-4•8
=4b-32
What is the value of n in the equation -1/2 (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
Answers
Answer:
n=1
Step-by-step explanation:
Answer:
n=1
Step-by-step explanation:
What is the slope of the line through (3, 2) and (-3, 4)?
3.4)
(32)
1
2
14
A. -3
O B.
O D. 3
Answers
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C
The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.
Given,
Points of line is (3, 2) and (-3, 4)
Let
x₁ = 3, y₁ = 2
x₂ = -3, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m = (4 - 2)/(-3 - 3)
m = 2/(-6)
m = -1/3
Hence, the slope of the line is -1/3
Learn more about Slope of Line here :
brainly.com/question/14511992
#SPJ5
I’ll give you 10 points and brainley
Answers
Answer:
Srry bro this is way to blurry for me to read... Also dont show your password to randoms.
Step-by-step explanation:
Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?
Answers
Answer:
0.55x = $27
Step-by-step explanation:
Let the price of the painting = x
x - 45% of x = $27
x - 0.45x = $27
0.55x = $27
Divide both sides by 0.55
0.55x/0.55 = $27/0.55
x = $49.09
Multiply [tex]\frac{-9i}{-3 - 9i}[/tex] where i is the √-1
(-9i) / (-3 - 9i)
Answers
You can simplify to 9i/3+9i
Multiply by 3 - 9i / 3 - 9i
You get 27i + 81 / 90