Answer:
[tex]P(x)=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]
Step-by-step explanation:
Each root corresponds to a linear factor, so we can write:
[tex]P(x)=x^{2} (x-1)^{2} (x+3)\\=x^{2} (x^{2} -2x+1(x+3)\\\\=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]
Any polynomial with these zeros and at least these multiplicities will be a multiple (scalar or polynomial) of this [tex]P(x)[/tex]
Footnote
Strictly speaking, a value of [tex]x[/tex] that results in [tex]P(x)=0[/tex] is called a root of
[tex]P(x)=0[/tex] or a zero of [tex]P(x)[/tex] . So the question should really have spoken about the zeros of [tex]P(x)[/tex] or about the roots of [tex]P(x)=0[/tex]
Help me!
A 180
B 115
C 65
Answer:
ik this
Step-by-step explanation:
i believe its 180
Answer: B) 115
Step-by-step explanation: i hop this help if not sorry :(
if some one can bike 32 miles in 160 minutes how long will it take them to go 1 mile
The following table shows how many pizzas Dave’s pizzeria has sold each hour.
Write the slope intercept equation, and find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation.
Answer:
x=3.3333333333333333333333333333333
Solve the inequality. Graph the solution
Answer:
1. y > -3/5 and y < 7/5 Direction to graph 1 below.
2. r > 1 and r < 13/3 Direction to graph 2 below
Step-by-step explanation:
|5y - 2| + 5 > 0
Case 1 Positive || Case 2 Negative ||
5y - 2 + 5 > 0 -(5y - 2) + 5 > 0
5y +3 > 0 -5y + 2 +5 > 0
5y > -3 -5y + 7 > 0
y .> -3/5 -5y > -7
-y > -7/5
y < 7/5 y value negative, change sign
The graph 1: open circle at -3/5; close circle at 7/5; shade between these two numbers.
2. |8-3r|< 5
Case I Case II
8 - 3r < 5 -(8-3r) < 5
-3r < 5 - 8 -8 + 3r < 5
-3r < -3 3r < 5 + 8
-r < -3/3 3r < 13
r >1 r is negative, change r < 13/3
the direction of the sign
Graph 2: Open circle at 1; open circle at 13/3; shade between the two numbers.
Students in a world geography class want to determine the distances between cities in Europe. The map gives all distances in kilometers. The students want to determine the number of miles between towns so they can compare distances with a unit of measure with which they are already familiar. The graph below shows the relationship between a given number of kilometers and the corresponding number of miles.
Answer:
Step-by-step explanation:
i guess we will never know.
guys pls help me!!!!!!
Answer:
maybe 34 ? or 180-34 =146
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
The two angles are congruent so x would be the same.
Jesus Loves You!
PLS HELP! GIVING BRAINLIEST!
Given g(x)=2x+4, find: g(4)
PLS SHOW WORK !!
Answer:
b(x)=2x+4
Factor out 2.
2(x+2)
EVALUATE
2(x+2)
Step-by-step explanation:
whats the y intercept
Answer:(0,4)
Step-by-step explanation:
Jada had some dimes and quarters that had a total value of $12.50
Answer:
1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5
2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5
3.I think they don’t function because quarters are worth more than a dime.
4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.
5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5
6.Yes they can function because q=dx-12.5
The Questions:
Question 1 - 1 pts
If Jada has 4 quarters, how many dimes does she have?
Question 2 - 1 pts
If Jada has 10 quarters, how many dimes does she have?
Question 3 - 1 pts
Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
Question 4 - 1 pts
If Jada has 25 dimes, how many quarters does she have?
Question 5 - 1 pts
If Jada has 30 dimes, how many quarters does she have?
Question 6 - 1 pts
Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.
Diego can type 140 words in 4 minutes.
At this rate, how long will it take him to type 385 words?
How many words can he type in 15 minutes?
If you get stuck, consider creating a table.
I hope you find this useful, Mark as Brainliest please, it's very much appreciated.
Explanation:
In one minute, Diego can type 35 words;140÷4
At this rate, it will take him 11 minutes to type 385 words;385÷35
Therefore, he can type 525 words in 15 minutes; 35×15
Answer:
Hope this helps.
Step-by-step explanation:
1. 385 x 4 = 1540/140
=11
2. 15/4 = 3.74 x 140
=525
Find the slope on the graph shown
Answer:
4/3
Step-by-step explanation:
Answer:
The answer is 4/3.
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.
El área del paralelogramo, en centímetros cuadrados, es igual al producto de su base por su altura, ambos en centímetros. En consecuencia, el área de la figura geométrica es la siguiente:
[tex]A = (13\,cm)\cdot (8\,cm)[/tex]
[tex]A = 104\,cm^{2}[/tex]
El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.
Invitamos cordialmente a ver esta pregunta sobre paralelogramos: https://brainly.com/question/17205536
There are 20 black, 15 white, 12 green, 12 red, 9 blue and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?
=============================================================
Explanation:
The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.
However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.
Consider the case of something like this sequence:
blackwhite greenredblueyellowblackwhitegreenredblueyellowblackAs you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.
Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.
For more information, check out the Pigeonhole Principle.
find the missing values in the ratio table then write the equivalent ratios
PLS HURRY!!
Answer:
1. 10
2. 4, and the bottom row is 21
3. divide the bottom by 4. you get 8
4. top row is 15 and bottom row is missing 6
Round to the nearest tenth
2.642 to the nearest tenth
29.10 to the nearest tenth
2,492 to the nearest tenth
3.44 to the nearest tenth
5,239 to the nearest tenth
89.43 to the nearest tenth
Round to the nearest hundredth
23.987 to the nearest hundredth
3,7096 to the nearest hundredth
4,449 to the nearest hundredth
44.043 to the nearest hundredth
999.474 to the nearest hundredth
7.44430 to the nearest hundredth
Answer:
1. 2.6
2. 29.1
3. 2490
4 3.4
Step-by-step explanation:
a locker contains 3 pairs of tennis shoes, 1 pair of jogging shoes, and 2 pairs of leather shoes. without looking , what's the probability of pulling out the pair of jogging shoes and then one pair of tennis shoes. (assume that you don't put the first pair of jogging shoes back in the locker.) write your answer as a fraction
Answer:
1/3 chance
Step-by-step explanation:
hoped this helped you!
use order of operations
Answer:
97
Step-by-step explanation:
[tex] {4}^{2} + 3(37 - (2 \times 5)) \\ {4}^{2} + 3(37 - 10) \\ {4}^{2} + 3(27) \\ {4}^{2} + 81 \\ 16 + 81 \\ 97[/tex]
Hope this helps! Brainliest would be really appreciated!
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS
Answer:
1. 4a+5b
2. 6p+4r
3. -20y-3x
Answer:
1. 4a + 5b; 2. 6p + 4r; 3. -22y - 3x
Step-by-step explanation:
1. (4a + 5b) + (2a - 6b) - 2(a - 3b)
(4a + 5b) + (2a - 6b) + (- 2a + 6b) Distributive
(4a + 2a -2a) + (5b - 6b + 6b) Combine like terms
4a + 5b
2. 2(5p - q + 2r) - (p + 4q + 3r) - 3(p -2q - r)
10p - 2q + 4r - p - 4q - 3r - 3p + 6q + 3r
(10p - p -3p) + (-2q - 4q + 6q ) + ( 4r - 3r + 3r)
6p + 0 + 4r
6p + 4r
3. - (9y + x) + 2(x - 6y) - (4x + y)
-9y - x + 2x - 12y - 4x - y
(-9y -12y -y) + (-x + 2x - 4x)
-22y - 3x
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
The spider's movement is an illustration of a parabola.
The equation of a parabola is: [tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]The focus of a parabola is: (40,-30)The axis of symmetry is: [tex]\mathbf{x = 40}[/tex]The directrix is:[tex]\mathbf{y = 50}[/tex](a) The equation
The spider passes through the origin.
So, we have:
[tex]\mathbf{(x,y) = (0,0)}[/tex]
The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:
[tex]\mathbf{(h,k) = (40,10)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(0 - 40)^2 + 10}[/tex]
Subtract 10 from both sides
[tex]\mathbf{a(0 - 40)^2 =- 10}[/tex]
[tex]\mathbf{1600a =- 10}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{160}}[/tex]
Substitute [tex]\mathbf{a =- \frac{1}{160}}[/tex] and [tex]\mathbf{(h,k) = (40,10)}[/tex] in [tex]\mathbf{(h,k) = (40,10)}[/tex]
[tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]
(b) The focus, directrix and the axis of symmetry
The focus of a parabola is:
[tex]\mathbf{Focus= (h, k + p)}[/tex]
Where:
[tex]\mathbf{p = \frac{1}{4a}}[/tex]
So, we have:
[tex]\mathbf{p = \frac{1}{4 \times -1/160}}[/tex]
[tex]\mathbf{p = -\frac{160}{4}}[/tex]
[tex]\mathbf{p = -40}[/tex]
So, we have:
[tex]\mathbf{Focus = (40,10-40)}[/tex]
[tex]\mathbf{Focus = (40,-30)}[/tex]
The axis of symmetry is:
[tex]\mathbf{x = h}[/tex]
So, we have:
[tex]\mathbf{x = 40}[/tex]
The directrix is:
[tex]\mathbf{y = k - p}[/tex]
[tex]\mathbf{y = 10 + 40}[/tex]
[tex]\mathbf{y = 50}[/tex]
Read more about parabolas at:
https://brainly.com/question/25237745
A water bucket in your backyard has a small hole in it. You notice that it drained a total of 3.5 liters
in 4 days. What is the average change in water volume each day? (hint: divide)
Peter, Jamal and Khan were on their way to a resort. Peter drove of the journey at a
constant speed of 64 km/h. Jamal took over and drove 5 of the journey for 20 min at
a constant speed of 60 km/h. Khan then took over and drove the remaining journey.
(a) How far did Jamal drive?
(b) How many minutes did Peter drive?
Answer:
that's what can I give
Step-by-step explanation:
hope it helps
abe purchased a candle at the candle store. The candle is 9 inches long and the packaging started the candle burns down at the rate of 1/2 an inch per hour.
If abe lit the candle and let it burn. How long would the candle be after 5 hours
Show how you figured it out
Answer:
6.5 Inches in 5 hours.
Step-by-step explanation:
1. 0.5 * 5 = 2.5
2. 9 - 2.5 = 6.5
Therefore after 5 hour's, the candle will be 6.5 inches that duration
(hope this helps!)
plZ help...................
Answer:
B
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] + 4 = 1 ( subtract 4 from both sides )
[tex]\frac{x}{5}[/tex] = - 3 ( multiply both sides by 5 to clear the fraction )
x = 5 × - 3 = - 15 → B
HELP PLSSS THIS IS HARD SOMEONEEE
Solve. 3/4x + 6 = 33
explain the work please :,)
Answer:
x=36
Step-by-step explanation:
first take six away from both sides to get 3/4x=27
then divide 27 by the numerator 3 to get 9. Then multiply 9 by the denominator 4 to get 36. So 3/4 of 36=27+6=33
3/4x+6=33
We move all terms to the left:
3/4x+6-(33)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We add all the numbers together, and all the variables
3/4x-27=0
We multiply all the terms by the denominator
-27*4x+3=0
We multiply elements
-108x+3=0
We move all terms containing x to the left, all other terms to the right
-108x=-3
x=-3/-108
x=1/36
I hope this helps :)
Please HELPPPPPPPPPP
Answer:
1.3
2.6
3.24
Step-by-step explanation:
Hope it helps
calculate the time taken for a train to travel 1000m if its initial is 3 m/s and it is moving at a constant acceleration of 0.1m/s^2
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
Anyone willing to help? I have to submit it tmr
Answer:
here's your answer
hope it helps
(look at attachment)
If everything in a store is 20% off, and the discounted price of an item is $18.00, what is the regular price?
Answer:
If the REGULAR price of the t-shirt is $18, the SALE price with a 20% discount is $14.40. Hope this helps!
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPP!
Answer:
10
Step-by-step explanation:
[tex]2^{2} +10^{2} =c^{2}[/tex]
4+100=[tex]c^{2}[/tex]
c=[tex]\sqrt{104}[/tex]
c=10.198
Round to nearest thousandth
c=10
Hope this helps :)
Comment if you need more help :) :)