#1 p(x)=(x-3)*(x-5)*(x-1)=x3-9x2+23x-15
You try the next one...a fractional root would look like (x-3/2)
Using the Factor Theorem, it is found that an example of a polynomial of degree at least 3 where one or more of the roots are fractions is given by:
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]Factor Theorem: The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem:
A polynomial of degree 3 will be built, hence it will have 3 roots.A leading coefficient of a = 1 is supposed.Two non-fractional roots, which are x = 1 and x = 2, hence [tex]x_1 = 1, x_2 = 2[/tex].The fractional root is [tex]x_3 = \frac{1}{2}[/tex].Hence:
[tex]f(x) = (x - x_1)(x - x_2)(x - x_3)[/tex]
[tex]f(x) = (x - 1)(x - 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = (x^2 - 3x + 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]
To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382
Can somebody help me with my work please?
sure what grade are you in
15. Enter the missing digit to complete the subtraction statement
2 5 4, 8 1 7
- 1 3 _, 1 2 5
__________
1 1 8, 6 9 2
A pet store has 7 cats. Here are their weights (in pounds).
8, 15, 11, 10, 11, 6, 7
Send data to calculator
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Step-by-step explanation:
add 8,15,11,10,11,6,7 then the answer you get divide by 7
Answer:
The answer that has been rounded by the tenths is 9.7
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answer:
a
Step-by-step explanation:
just cuzyfhyf
pls help asap i rly need this
Answer:
THey are countin by 2 and 5 on the graph
Step-by-step explanation:
Hello, need help on this (:
The answer is attached below
Answer:
he anwersed so hello
Step-by-step explanation:
What is the value of m?
42.78/m=93
Answer:
m=0.46
Step-by-step explanation:
Answer:
m=42.78÷93
m=0.46
Step-by-step explanation:
please mark me as brainlest
2. Carlie graphed a line with a negative slope.
What must be true about the graph?
a. The graph decreases from left to right.
b. The graph increases from left to right.
c. The graph must cross (0,0).
d. The graph must be contained in Quadrants
III and IV.
Answer:
A. The graph decreases from left to right
Four students are training for their cross country team at school. They were told to run for as long as they could without stopping. The coach measured their total distances and their overall time. Calculate the average speed for each student and find the two students who tied for the same average speed.
A) Brev and Chris
B) Brev and leslie
C) Chris and Dylan
D) Dylan and Leslie
Answer:
C) Chris and Dylan
Step-by-step explanation:
Which linear function represents the line given by the point-slope equation y-8 = 1/2(x – 4)?
O f(x) = 1/2x + 4
Of(x) = 1/2x + 6
O f(x) = 1/2x-10
Of(x) = 1/2x-12
Answer:
y = 1/2x + 6
Step-by-step explanation:
y - 8 = 1/2 (x - 4)
y - 8 = 1/2x - 2
y = 1/2x -2 + 6
HURRY Alot of Points (50)
Which statements are true?
Choose all answers that are correct.
A. Senators have to have been a U.S. citizen for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.
B. Senators and members of the House of Representatives must agree to serve at least two terms in office.
C. Senators and members of the House of Representatives must live in the state they represent.
D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.
Answer:
Step-by-step explanation:
A. Senators have to have been a U.S. citizens for nine years prior to being elected; members of the House of Representatives must be American citizens for seven years before being elected.
C. Senators and members of the House of Representatives must live in the state they represent.
D. Senators must be at least 30 years old; members of the House of Representatives must be at least 25.
What is the difference of 18 - 10 2/8 ?
Answer:
7 3/4
Step-by-step explanation:
[tex]18 - 10\frac{2}{4}[/tex] [tex]18 - 10\frac{1}{4}[/tex] [tex]18 - \frac{41}{4}[/tex] [tex]\frac{72}{4} - \frac{41}{4}[/tex] [tex]\frac{31}{4}[/tex] [tex]7\frac{3}{4}[/tex]tyler swims at constant speed, 5 meters every 4 seconds. how long does it take him to swim 114 meters?
28.5 seconds
cuz 114 ÷ 4 = 28.5 = 28.5 × 4 = 28.5
hope it will help u
Answer:
91.2 secondsStep-by-step explanation:
5 m = 4 second
1 m = 4/5 second
1 m = 0.8 second
∴ 114 m = 114 x 0.8
= 91.2 seconds.
Brainliest would be really appreciated if it helped :)
Nolan’s car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?
Answer:
75 miles
Step-by-step explanation:
because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75
Answer:
75
Step-by-step explanation:
count by 25's
25+25=50
50+25=75
pls hurry ill mark brainleest BUT ONLY IF U GET IT RIGHT
Answer:
C. 15
Step-by-step explanation:
Graph shows the point to 5.
Says " Chocolate in 3 Box"
5*3=15
Hope this help!
Answer:
c15
Step-by-step explanation:
Find the measure of angle B
133.5 divided by 5 show work
Answer:
26.7
Step-by-step explanation:
Use a c a l c u l a t o r :P
13. Amy will rent 10 different movies this month.
•A one-day rental fee is $1.50.
A monthly pass is $10.00. (Unlimited visits during the month)
How much money will Amy save by buying a monthly pass?
Please help I will give you brainless please
Answer:
35
Step-by-step explanation:
1.5x30=45 -
45-10= 35
month=30 days
Movie costs 1.5 for a day and it will cost 10 for a month so you have to do 1.5x30=45 then you have to subtract 10 becuses that's the monthly pay so your answer would be 35 please (give brainless)
Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) , and ( 0 , 8 ) around the y -axis.
The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]
To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).
The theorem states:
The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.
That is
[tex]V=A\times d[/tex]
When the centroid travels, it forms a circumference d given by,
[tex]d=2\pi r[/tex]
Therefore
[tex]V=A\times 2\pi r[/tex]
From the diagram below,
The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).
G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.
r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.
The things we need to find are A (the Area) and r.
Calculate A:
[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]
[tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]
[tex]\Delta =8\times 1 -0\times 0=8[/tex]
[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]
Calculate r:
[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]
Finally, Calculate the volume, V:
[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]
Learn more about centroids: https://brainly.com/question/20305516
Find sine, where is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
[tex] \sin( \theta) = \frac{opp}{hyp} \\ {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 = 289 \\ c = \sqrt{289} \\ c = 17 \\ \sin( \theta) = \frac{15}{17} = 0.882 \\ \theta = { \sin}^{ - 1} (0.882) \\ \theta = 66.88 \degree\approx 67\degree[/tex]
Does the graph represent a function that has an inverse function
9514 1404 393
Answer:
No
Step-by-step explanation:
A horizontal line can be drawn that intersects the graph in more than one place. That means the graph fails the "horizontal line test" and does not have an inverse function.
(The horizontal line shown intersects in 3 places.)
Write the angles of DEF in order from smallest to largest
Answer:
F, D, E
Step-by-step explanation:
the smallest angle is opposite the smallest side, the largest angle is opposite the largest side, etc.
Sandra transforms a line segment such that the new image is longer than the original line segment. What type of transformation must the line segment have undergone?
A. dilation
B reflection
C rotation
E translation
The type of transformation must the line segment have undergone if Sandra transforms a line segment such that the new image is longer than the original line segment, is dilation, so option A is correct.
What is dilation?The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.
Given:
Sandra transforms a line segment such that the new image is longer than the original line segment,
The above transformation is an example of dilation, as in dilation the image can be transformed into a large image or a small image,
Thus, the given transformation is an example of dilation.
To know more about dilation:
https://brainly.com/question/13176891
#SPJ6
2x=16−2 Value of x ?
Answer:
x = 7
Step-by-step explanation:
2x = 16 - 2
2x = 14
x = 14 / 2
x = 7
Answer:
[tex]\sf\longmapsto \: x = 7[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x = 16 - 2[/tex]
[tex]\sf\longmapsto \: 2x = 14[/tex]
[tex]\sf\longmapsto \: x = \frac{14}{2} [/tex]
[tex]\sf\longmapsto \: x = 7[/tex]
Last month, Donovan ran 48 miles. James ran m miles. Donovan ran 3 times as far as James. Which equation can be used to find m, the number of miles James ran?
Answer:
45
Step-by-step explanation:
78
due at 5:30 help asap!! look at the photo
Are the linear expressions equivalent? Drag the choices to the boxes to correctly complete the table
Answer:
First one is equivalent second one is not equivalent
Step-by-step explanation:
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
1.please just give me the first step on how it’s written out
Answer:
15 hours
Step-by-step explanation:
Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours.
Find the distance between the points (6,3) and (-1,-6).
Answer:
All you need is the distance formula. The distance betwen two points
(x1,y1) and (x2,y2) is d= sqrt((x2-x1)2 + (y2-y1)2)
plugging in the values we get:
d= sqrt((6-(-6))2 + (6-1)2)
= sqrt((6+6)2+52)
= sqrt(144+25)
= sqrt(169)
= 13
Answer:
[tex]\sqrt{130}[/tex]
Step-by-step explanation:
6 - (-1) = 7
3 - (-6) = 9
7^2 + 9^2 = c^2
49 + 81 = c^2
c^2 = 130
The basketball team scored 49 points in thechampionship game. This is 12 points more than
half of their score in the first round game. How many points did the team score in their first round game?
There are a total of 88 people attending a conference. The ratio of men to women is 3 to 5.
How many men are attending the conference?
Answer:
3:5
3/8×88
33 women
5/8×88
55 men
Answer: I attached the answer below
Step-by-step explanation:
