Answer:
The answer is 5
Step-by-step explanation:
p(x) = x3 - 2x2 + 2x
What are the real and complex zeros of the equation
Given:
The polynomial is
[tex]p(x)=x^3-2x^2+2x[/tex]
To find:
The real and complex zeros of the equation.
Solution:
We have,
[tex]p(x)=x^3-2x^2+2x[/tex]
For zeros, p(x)=0.
[tex]x^3-2x^2+2x=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x(x^2-2x+2)=0[/tex]
[tex]x=0\text{ and }x^2-2x+2=0[/tex]
The real value of x is 0. The equation [tex]x^2-2x+2=0[/tex] will give complex roots. Here, a=1, b=-2 and c=2.
Using quadratic formula, we get
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}[/tex]
[tex]x=\dfrac{2\pm \sqrt{-4}}{2}[/tex]
On further simplification, we get
[tex]x=\dfrac{2\pm \sqrt{-1}\sqrt{4}}{2}[/tex]
[tex]x=\dfrac{2\pm 2i}{2}[/tex]
[tex]x=\dfrac{2(1\pm i)}{2}[/tex]
[tex]x=1\pm i[/tex]
Therefore, the real zero is 0 and the complex zeros are 1+i and 1-i.
Plzzzzz helpp!!!!!!!!!!!!!!
) On a merry-go-round, 16 horses are evenly spaced on the outside perimeter. Abe is opposite
to the first horse. It takes 6 seconds for the fifth horse to reach Abe. How long will it take the merrygo-round to go around once? Draw a clear diagram to answer this question.
Help!!!!!!
㏒7 41 pLz hElP pLZZz
Answer:
log(41)/log(7) OR 1.90839852...
A group of students plotted the number of hours they worked at a cake shop during the holidays and the number of cakes they delivered in a week.
Graph shows 0 to 60 on x axis and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Number of Cakes Delivered. Dots are made at the ordered pairs 12, 13 and 16, 15 and 20, 27 and 23, 21 and 26, 37 and 31, 29 and 35, 41 and 38, 46 and 42, 52 and 43, 49 and 45, 54 and 49, 51.
Which statement best describes the relationship between the number of hours spent working at the cake shop and the number of cakes delivered?
Greater hours worked, more cakes delivered
Fewer hours worked, more cakes delivered
Greater hours worked, fewer cakes delivered
There is no relationship between hours spent working and number of cakes delivered.
Answer:
As the x value increases, the y value also increases. So as one increases the other increases.
So your answer is
Greater hours worked, more cakes delivered
Step-by-step explanation:Hope this helps :-)
Answer:
It would be no other than A. :) I got this by putting a very skinny strip of paper and making the graph then, I easily just went from the 0 points and saw how the numbers on each side are both even it would make more sense as A because it is just how this works! :)
Step-by-step explanation:
how many solutions does the equation 5x-8=3x+8
Answer:
One solution
Step-by-step explanation:
5x-8 = 3x+8
2x = 16
x = 8 = true once
Answer:
x=2
Step-by-step explanation:
5x-8=3x+8
= >
5x-3x=8+8
=8x= 16
therefore x= 16/8
ie) 2
a school has 300boys.if this is 60% of the total no. of pupils in the school, how many girls are there in the school?
Answer:
240
Step-by-step explanation:
if that is 60 percent that means that if you times 600 by 40 percent that should get you your awnser
Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
will mark brainliest
Answer:
1/4
Step-by-step explanation:
using the product-to sum formulas, this is
1/2 (cos(75+15) + cos(75-15))
Answer:
1/4
Step-by-step explanation:
PLATO USER
How many students play a team sport but do not take dance lessons
Help
==================
Answer: 0.5
Step-by-step explanation:
17 is half of 34 and 1/2 = 0.5
Answer: 0.5 is this second grade
8/9 ÷ 4/9 = ??????????
Answer:
2
Step-by-step explanation:
This expression can be rewritten as
8
----
9
======
4
---
9
If we now invert the denominator fraction 4/9 and multiply the result, we get:
8 9
----- * ----- = 2
9 4
1. Bruce graphs parallelogram GOAT with the coordinates G(-2,-3), 0(3.-4),A(2.-10), and T(-3,-9). At which of the following points do the diagonals meet A (0-2 B (0-3) c (1) D.-5)
Answer:
(0,-13/2)
Step-by-step explanation:
Graph down the points and use the midpoint formula, (X1+X2)/2, (Y1+Y2)/2
6) The height of any child in Mr. Diaz's kindergarten class is no greater than 46 inches.
Unkno
e) Let h be the height in inches of a child in the class. Write an inequality that means that
a height is no greater than 46 inches.
h < 46
Unkno
•) Graph the inequality h < 46.
egunkno
58
60
54
56
50
52
48
46
44
40
42
0 0
Crin
mage
Answer:
full arrow going left from 46
Step-by-step explanation:
Inequalities are used to represent unequal expressions.
The inequality is: [tex]h \le 46[/tex]
The height (h) is said to be no greater than 46 inches.
The text "no greater than" means less than or equal to.
In inequalities, less than or equal to is represented with <=
So, the inequality is:
[tex]h \le 46[/tex]
See attachment for the graph of the inequality.
Read more about inequalities at:
https://brainly.com/question/18881247
Which inequality describes the relationship between points A and B on the number line?
Will give brainliest
What is the missing reason in step six?
A. Opposite sides in a parallelogram are congruent
B. SSS
C. CPCTC
D. Definition of a parallelogram
CPCTC is the missing reason in step six.
CPCTC states that corresponding part of the congruent triangles are congruent.
Here, Given: ABCD is a quadrilateral,
In which AD ≅ BC and AD║BC
Prove : ABCD is a parallelogram.
Statement Reason
1. AD ≅ BC; AD║BC 1. Given
2.∠CAD and ∠ACD are alternative angles 2. Definition of alternative angles
3. ∠CAD ≅∠ACB 3. alternative angles are congruent
4. AC ≅ AC 4. Reflexive property
5.△CAB ≅ △ACB 5. SAS congruence postulate
6. .AB ≅ CD 6. CPCTC
7. ABCD is a parallelogram 7. Parallelogram side theorem
Therefore, CPCTC is six step.
Learn more about parallelogram here:
https://brainly.com/question/26768239
#SPJ2
Marlon’s fruit juice blend is made of 2 cups pineapple juice, 3 cups apple juice, and 3 cups orange juice. Which percentage of Marlon’s juice blend is orange juice? A. 25% B. 38% C. 50% D. 60%
Answer:
B. 38%
Step-by-step explanation:
A scientist changes the temperature of a solution at a rate of
-6°C per minute. How many minutes will it take for the solution's
temperature to change from 0°C to -54°C?
A 9 min
B 324 min
C 60 min
D 48 min
Answer: A 9 min
Step-by-step explanation: 54/6=9
(9)
-6-6-6-6-6-6-6-6-6=-54
Solve for X
5x + 2 = 7x – 4
Answer:
x = 3
Step-by-step explanation:
5x + 2 = 7x – 4
-2x = -6 (Subtraction)
x = 3 (division)
divided by negative from a negative so,
negative/negative = positive.
Given that f(x) = 3^x, identify the function g(x) shown in the figure
Plz help yall
Answer:
B. g(x) = 3^(x - 4) + 2Step-by-step explanation:
As per the graph, g(x) is the translation of f(x) right and up, therefore:
g(x) = f(x - 4) + 2Which is:
g(x) = 3^(x - 4) + 2Correct choice is B
Answer:
g(x) = 3(x + 4) - 2
Tom has some toy cars. 25 of them are red. He has 35 more green cars than red cars. The remaining 15 toy cars are yellow. Tom decides to pack 5 toy cars of the same colour in a box. How many more boxes of red and green toy cars are there than boxes of yellow toy cars?
Answer:
Step-by-step explanation:
red = 25
green = 25 + 35 = 60
yellow = 15
red = 25/5 = 5
green = 60/5 = 12
yellow = 15/5 = 3
Red + green = 5 + 12 = 17 boxes
yellow = 3 boxes
17 - 3 = 14 boxes
There are 14 more boxes of red and green cars than yellow cars.
2) Egbert's twin sister Egberta runs her own small business making pies. She delivers all
her own orders. For each order, she charges a flat delivery fee, and a cost per pie. Client 1
makes orders 2 pies and it costs $62. This is expressed as the ordered pair (2, 62).
a) Client 2 orders 11 pies for a total cost of $287. Express this as an ordered pair.
I
b) Find the slope between these 2 points.
c) Write a linear equation to represent this scenario where x is the number of pies
and y is the total charges
d) What is the cost per pie?
What is the delivery fee?
e) Use the equation to find out how much she would charge for 8 pies
f) How many pies would result in a total charge of $262 ?
Focus
Answer:
Step-by-step explanation:
a. (11,287)
b. 25
c. y = 25x + 12 (not sure if this is correct)
d. $25 and $12
e. $212
f. 10 pies
Find the derivative of the function. f(x) = 4x2 − 8x + 2
Answer:
Step-by-step explanation:
Use the power rule for differentiation
[tex]f'(x)=nx^n^-^1[/tex]
[tex]f'(x)=(4\frac{d}{dx} 2x^2^-^1)-(8\frac{d}{dx} 1x^1^-^1)+\frac{d}{dx}2[/tex]
[tex]f'(x) =8x-8[/tex]
The derivative of a constant is always zero
solve by elimination
x+y= 0
2x-y= 12
Answer:
m=2
Step-by-step explanation:
I calculated it sorry
Answer:
(x,y)= (4,-4)
Step-by-step explanation:
Thanks me later
Often scientists use rate of change equations in their study of population growth for one or more species. In this problem we study systems of rate of change equations designed to inform us about the future populations for two species that are either competitive (that is both species are harmed by interaction) or cooperative (that is both species benefit from interaction. Which system of rate of change equations below describes a situation where the two species compete and which system describes cooperative species? Explain your reasoning.
a. dx/dt= -5x + 2xy
b. dx/dt= 4x-2xy
c. dy/dt= -4y + 3xy
d. dy/dt= 2y-xy
Answer:
a: cooperative.
b: competitive.
c: cooperative.
d: competitive.
Step-by-step explanation:
The rate of change:
dx/dt
gives information about how the quantity x changes as a function of time.
If dx/dt > 0, the population x increases as the time passes.
if dx/dt < 0, the population x decreases as the time passes.
Now, let's analyze the options:
a) dx/dt= -5x + 2xy
in this case, x represents one population and y represents the other population. Where x and y should only be positive numbers because we can not have a negative population.
Notice that in this case, if y increases, then dx/dt increases.
Then we have cooperative species because the population y helps the growth of population x.
b) dx/dt = 4*x - 2*x*y
Similar to the previous case, but now as the value of y increases, the value of dx/dt decreases, then we have competitive species.
c) dy/dy = -4*y + 3*x*y
Notice that now we have the rate of change of y, in the right side, we can see that as x increases, also the rate of change dy/dt.
Then the population x helps to increase the population y, which means that the species are cooperative.
d) dy/dt = 2*y - x*y
Now as x increases, the value of dy/dt decreases, then these species are competitive.
How much is nine times eight ?
You got paid $343 for 7 hours of work. Find the unit rate.
Answer:
$49 / hour
Step-by-step explanation:
343/7 = $49/hour
Answer:
49
Step-by-step explanation:
You do 343÷7 which equals your sum
kiran poured 15 cups of water into equal-sized pitches and filled 1 1/2. How much water was in the full pitcher?
9514 1404 393
Answer:
10 cups
Step-by-step explanation:
The number of cups in a pitcher can be found by dividing cups by pitchers:
(15 cups)/(1.5 pitchers) = 10 cups/pitcher
A full pitcher holds 10 cups.
Always, Sometimes, Never
Two similar triangles are congruent
Answer:
Similar triangles are sometimes congruent. We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar
Estimate the product by rounding to the nearest
thousand 7763 x 50,737
find the estimated product
Please help with the answer
Answer:
not parallel
Step-by-step explanation:
Actually they're Perpendicular.