#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]
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A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS
The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt
70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20Since he is traveling at a constant speed, the relationship between, V and t can be written thus :
Distance = speed × time 70 = VtAt time, t = 5
70 = 5VV = 70/5 = 14At time, t = 7
70 = 7vV = 70/7 = 10At time, t = 3.5
70 = 3.5vv = 70/3.5 = 20Therefore, the relationship between V and t with distance is 70 = Vt
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What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
Answer:
y = -9/11x - 28/11
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - (-5) / -8 - 3
9/-11
= -9/11
y = -9/11x + b
4 = -9/11(-8) + b
4 = 72/11 + b
-28/11
If the diameter is 7.5 what is the radius?
If the radius is 17 what is the diameter?
If the diameter is 21 what is the radius?
If the radius 813 what is the diameter?
Answer:
Here is the answer to your question its fairly simple.
Step-by-step explanation:
3.75 is the radius
34 is the diameter
10.5 is the radius
1626 is the diameter
A+B + C = 180
A= 36
What is x
Answer:
which is x here
please write complete question
*EASY* I WILL GIVE BRAINLIST TO THE FIRST RIGHT ANWSER
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east an 4 blocks north to a coffee shop. Then she walks 4 blocks west and 3 blocks north to a museum. Where is the museum in relation to her hotel?
here's the format for the answer if it helps : The museum is _ blocks _(West/East) and _ blocks _(South/North) of her hotel.
Answer:
Step-by-step explanation:
Is it possible to construct a triangle with the side lengths of 6 cm 11cm and 13 cm why or why not?
Answer:
yes because....
Step-by-step explanation:
6 + 11 > 13
Martha Stewart has developed a new perfume. She decides to test its side effects by spraying the perfume in 31 randomly chosen houses. She records the level of antigens that create an allergic response. If the antigen level is high enough, the person will go into anaphylactic shock. The mean of her sample is a lot bigger than the median, but Martha hopes that a 90% confidence interval will contain zero. Her confidence interval is (0.116, 1.884). Disappointed, she offers you $144 to find an acceptable, realistic way to change the confidence interval to contain zero. What could you say to earn the money
The acceptable and realistic ways to to change the confidence interval to contain zero are;
Martha should decrease x-bar by providing medicine to treat shock to the perfume users.Decrease sample size than 30Increase the confidence level, till the interval contains zeroReasons:
The confidence interval is given by the following formula;
[tex]CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex]
When the mean, [tex]\overline x[/tex], is positive and large, both values, [tex]\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and [tex]\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], will be positive.
Therefore, Martha has to either intervene to reduce the mean also known as x-bar
Increasing the confidence level will increase the allowable error such that [tex]\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and the interval will contain zero
Therefore;
Martha should decrease x-bar, [tex]\overline x[/tex], by providing medicine to treat shock to the perfume usersUse a much smaller sample size, n, such that [tex]t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}} > \bar{x}[/tex]Increase the confidence level to 95% or 99%, thereby increasing the error boundLearn more here:
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Jessie made 15 sales calls yesterday. Clay made n calls. If clay made 3 times as many sales calls as jessie, choose the equation thats shows how many sales calls clay made yesterday
Answer:
n = (15)(3) = 45
Step-by-step explanation:
This problem is very simple, all we need to do is take the information we get and put it in equation form.
Jessie made 15 calls, Clay made 3 times as many as her. 15 times 3 is 45. Put in equation format it will look like:
n = (J) * (3)
n is how many calls Clay made, and J is how many calls Jessie made.
What is 1 plus 1 in active numbers
Ey pls help me anyone pls
Answer:
we cant read the whole question so I cant help you.
Step-by-step explanation:
Answer:
I will do 1-4 and explain because I dont have the time to do all of this.
1=130 2=130 3=134? 4=63 Just add up the numbers and subtract them from either 90 180 or 360, how to know which number to add up to is easy, just see if the sum of the numbers added makes a number above one of those numbers, for example if you find one that the sum is larger then 90 but smaller then 180 then subtract the sum from 180.
Step-by-step explanation:
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
can someone plz help me with this
Answer:
option D .....11
Option c 36
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth, if
necessary
Answer:
The vertical change is 1
The horizontal change is =2
The rate of change .5
Step-by-step explanation:
Point A is at (2,1)
Point B is at (4,2)
The vertical( up and down) change is (2-1) = 1
The horizontal ( left and right) change is (4-2) =2
The rate of change is vertical over horizontal (1/2) = .5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
1. Vertical change :
[tex]2 - 1[/tex][tex]1[/tex]2. Horizontal change :
[tex]4 - 2[/tex][tex]2[/tex]3. Rate of change :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{2 - 1}{4 - 2} [/tex][tex] \dfrac{1}{2} [/tex][tex]0.5[/tex]Can anyone help me with this?
it does not show the question
- A candy clerk has three times as many kilograms of chocolate creams as peanut clusters.
The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters
does the clerk have?
The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.
Let the kilograms of peanut clusters = x
Let kilograms of chocolate creams = y = 3x
Therefore, from the information given, the equation to solve the question will be:
x + y = 48 kilograms
x + 3x = 48 kilograms
4x = 48 kilograms
x = 48 kilograms / 4
x = 12 kilograms
Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.
In conclusion, the correct option is 12 kilograms.
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Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
Answer:
20 ft
Step-by-step explanation:
area of square = (side)^2
area of square = 25 ft^2
(side)^2 = 25 ft^2
side = 5 ft since (5 ft)^2 = 25 ft^2
The side of the square measures 5 ft.
All around the square is the perimeter.
perimeter = 4 * side
perimeter = 4 * 5 ft
perimeter = 20 ft
Answer: 20 ft
6. a + 6 < -2; a = -8
I
0. yes
P. no
Answer:
yes
Step-by-step explanation:
look at the pictuse below i would copy and paste but I can't copy a picture
Answer:
I can't really see it so i don't know I'm sorry
Answer:
15
Step-by-step explanation:
Write a three digit number that gives same answer when rounded to the nearest ten and to the nearest hundred .explain
Answer:
Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on. All the numbers to the right of the place you are rounding to become zeros. Rounded numbers are easier to remember and easier to use.
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?
Answer:
250 minutes
Step-by-step explanation:
10 + 0.12x = 15 + 0.10x
0.02x + 10 = 15
0.02x = 5
x = 250
Your welcome!
Kayden Kohl
8th Grade Student
An election is over and a new student body president has been elected. The new president received 3 votes for every vote received by his opponent. The new president received 2193 votes. How many votes did his opponent receive?
I need help ASAP! Is this linear increase decrease or exponential growth decay
Option B: Exponential growth
If for values of x values of y increases and forms a geometric sequence then it would be an exponential growth function because geometric sequence is an exponential function and since, it is increasing hence, an exponential growth.
Option A is incorrect because y is not decreasing
Option C and D are incorrect because geometric sequence can never be linear since, it gives common ratio.
4. Lincoln began his speech, “Four score and seven years ago....” How many years is four score and seven? (Hint: A score is 20 years.) Can someone help me?
Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
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P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
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lab
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
Right triangle CDE has its right angle at vertex
D. The length of DE is 8 feet and the length of
CE is 17 feet. What is the length, in feet, of CD?
A) 11
B) 12
C) 14
D) 15
The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
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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
HELP !! Look at the photo please
Martina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2 and a half mile
Step-by-step explanation:
As she runs three miles in 25 minutes so she can run 2 and a half miles in 20 minutes because she needs five minutes to complete the third mile
-2 as a decimal
Help if you can ik it’s simple I’m just very tired :)
Which ordered pairs are solutions to the inequality y-2x less than or equal to -3
Answer:
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Step-by-step explanation:
try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.