Answer:
x = 2, 1 + 3i, 1 − 3i
Step-by-step explanation:
Find the Roots (Zeros)
x^4 − 6x^3 + 22x^2 − 48x + 40
Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0
Solve for x.
Factor the left side of the equation.
Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.
(x − 2) (x^3 − 4x^2 + 14x − 20) = 0
Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.
(x − 2) (x − 2) (x2 − 2x + 10) = 0
Combine like factors.
(x − 2)2 (x^2 − 2x + 10) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
(x − 2)^2 = 0
x^2 − 2x + 10 = 0
Set (x − 2)^2 equal to 0 and solve for x.
Set (x − 2)^2 equal to 0.
(x − 2)^2 = 0
Solve (x − 2)^2 = 0 for x.
x = 2
Set x^2 − 2x + 10 equal to 0 and solve for x.
Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0
Solve x^2 − 2x + 10 = 0 for x.
Use the quadratic formula to find the solutions.
−b ± (√b^2 − 4 (ac) )/2a
Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.
2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1
Simplify.
Simplify the numerator.
x = 2 ± 6i/ 2.1
Multiply 2 by 1
x = 2 ± 6i/2⋅1
Simplify
2 ± 6i/2
x = 1 ± 3i
The final answer is the combination of both solutions.
x = 1 + 3i, 1 − 3i
The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.
x = 2, 1 + 3i, 1 − 3i
20 Points. will give brainliest.
Which one doesn't belong?
Answer:
Depends, either option 3 or 4. I would say 4
Step-by-step explanation:
1,2,3 have the same line, just rotated, and 4's line is different
1,2,4 all start at the origin, tho
The line passes through (1,4) and (3,18).
The equation of the line is
Answer:
I think the answer is a proportional relationship
Eight years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. whats the multiplier and an equation for this
Answer:
The multiplier is 0.85
The depreciation equation is;
P = I(0.85)^t
Step-by-step explanation:
Let us write an equation for the depreciation
It is in the form;
P = I( 1 - r)^t
where P is the present value
I is the value at which it was bought
r is the depreciation percentage = 15% = 15/100 = 0.15
t is the number of years after byte year it was bought
so we can have;
P = 1000(1 - 0.15)^t
P = 1000(0.85)^t
The
multiplier is 0.85
find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000
You have to have the 2 or 3 as the first digit.
After that, the other 3 digits can be done in 3! = 6 ways.
So, the total is 2*3! = 12
The number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000 is 9.
What is permutation?A permutation is a word that describes the number of ways things can be ordered or arranged.
Given are numbers, 0,1, 2, 3
We asked for numbers greater than 2000, so those numbers will start either from 2 or 3.
2 _ _ _ = 3! = 6
3 _ _ _ = 3!/2! = 3
Hence, total possible ways are 6+3 = 9
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A book was bought for $200 and sold for $250. Calculate the profit percent.
Answer:
I thinks its 25%
Step-by-step explanation:
Which graph shows y = 2x -1/2
Answer:
Did u ever find out the answer? Im on the same website and I need it too
Graph (C) shows the equation of line y = 2x -1/2.
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
The given equation of line is,
y = 2x - 1/2 (1)
Standard equation of the line is y = mx + c
By comparison, slope of the line (1),
m = 2
To plot graph, find x and y intercept,
x intercept of line at y = 0,
0 = 2x - 1/2
2x = 1/2
x = 4
y intercept of line at x =0,
y = -1/2
The graph of the line is represented here.
Correct answer is option (3).
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A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width? Input your answer as a fraction.
Answer:
3/10
Step-by-step explanation:
Answer:
w=3/2
Step-by-step explanation:
1/2=1/3w
3/2=w
hope this helps! brainliest?
You have -1 point after level 2 of a video game. Your score is 24 points less than your friends score. Write and solve an equation to find our friends score after level 2
Answer:
Our friends score after level 2 is 23
Step-by-step explanation:
Here, we want to find our friends score after level 2 of the game
From the question;
Your score is 24 points less than your friends;
Let the friends score be x
Thus;
x-24 = -1
x = -1 + 24
x = 23
pls pls help asap pls
Answer is 1, my mobile is not good but
Need help ASAP please plot the points Graph f(x)=-1/2x-5
Hello again
Answer:
The points are (-2,-4) and (0,-5)
Graph:
Please help and show work
Answer:
.
Step-by-step explanation:
If
1/3
of a gallon of orange juice is shared equally between 4 friends, how much orange juice will each friend receive?
Answer:
1/12
Step-by-step explanation:
1/3*1/4
1/12
third gallon turned into quarters to give to each friend. multiply the amount by the portion size
8x = 8+2(x-10)+3x hurry please ill give you brain lesst
Answer:
x = -4
Step-by-step explanation:
8x = 8 + 2(x-10) + 3x
simplify
8x = 8 + 2x - 20 + 3x
simplify again
8x = 5x - 12
subtract 5x from both sides
3x = -12
divide both sides by 4
x = -4
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
0 -6
05
05
O 6
The value of x that is the solution set of the inequality is: D. 6
How to Solve an Inequality?Find the value of x in the inequality, -2(3x + 2) > -8x + 6, by isolating x:
-2(3x + 2) > -8x + 6
Open bracket
-6x - 4 > -8x + 6
Add like terms
-6x + 8x > 4 + 6
2x > 10
x > 10/2
x > 5
This means that all possible values of x are greater than 5. 6 is greater than 5.
Therefore, the solution set is: D. 6
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10% of 1100000000
Ik this math is a lot please help
Answer:
Ez math
Step-by-step explanation:
The answer is 110000000
Answer:
10% of 1,100,000,000 = 110,000,000
Step-by-step explanation:
1,100,000,000 x 0.10 = 110,000,000
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!
what is the simplest form of 3x^3 + x^2 + 2 ( x^3 - 4x^2 )
Answer:
−8x^4 + 5x^3 + x^2
Step-by-step explanation:
3x^3 + x^2 + 2 (x^3 − 4x^4)
Apply the distributive property.
3x^3 + x^2 + 2x^3 + 2 (−4x^4)
Multiply −4 by 2.
3x^3 + x^2 + 2x^3 − 8x^4
Simplify by adding terms.
Add 3x^3 and 2x^3.
5x^3 + x^2 − 8x^4
Simplify the expression.
Move x2.
5x^3 − 8x^4 + x^2
Reorder 5x^3 and −8x^4.
−8x^4 + 5x^3 + x^2
An erercise machine with an original selling price of $1,275 is marked down by 20%. What is the sale
price of the evercise machine?
The sale price is $ (and to the nearest cant as cents)
Answer: The machine would now be $1020
Step-by-step explanation: Multiply $1,275 by 0.8 because 0.8 is 20% off, then you get your answer.
Answer:
1020
Step-by-step explanation:
Find the slope of the line passing through the points (-5,3) and (7,9)
Use the number line to help you answer the question. Which statements are true? Check all that apply.
Answer: what are the answer choices
Step-by-step explanation:
Answer:
the first on and the last one
Step-by-step explanation:
Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 EndFraction and Two-fifths x + one-sixth y = StartFraction 3 Over 10 EndFraction? (one-fifth, negative two-thirds) (one-fifth, two-thirds) (two-thirds, negative one-fifth) (two-thirds, one-fifth)
Answer:
two-thirds, negative one-fifth
Step-by-step explanation:
Answer:
B. (one-fifth, two-thirds). or 1/5, 2/3
Last one for the day uwu
Answer:
2 2/25
Step-by-step explanation:
ngl I almost forgot how to do this...
But here's your answer!!
52/25 OR 2 2/25
how I got it:
5/6 divided by 4 which equals 0.208333333333/1000000000000
then i simplify that and its 52/25 and to make it even more simplified its
2 2/25
<3 Enjoy,
Dea
can someone please help me with this, will give brainliest :)
The table below gives the approximate distance from the sun for a few different planets.
Which sentence includes a word that is used incorrectly
Which of the following shows 2.736 correctly rounded to the tenths place?
2.74
3
2.7
2.8
Answer:
2.7
Step-by-step explanation:
the three is lower than 5 so 2.7 is the answer
What is the constant of proportionality in this graph?
Answer:
one half or 1/2
Step-by-step explanation:
do your rise over your run on the graph.
pls help me pls help me
Answer:
166.32
Step-by-step explanation:
brainliest please
Answer:
166.32
Step-by-step explanation:
Remember, the product is the answer to a multiplication problem.
6.93 times 24= 166.32
What is the distance between (7,0) and (-8,45)
Answer:
15
the answer is 15
jrrjfnnd
A jwelery supply shop buys silver chains from a manufactorer for c dollars each and then sells the chains at a 57% markup
write the markup as a decimal
Answer: The expression for the retail price of a silver chain is 1.4c.
Step-by-step explanation:
Let the amount of jewelry be c dollars.
Rate of mark up = 40%
So, Amount of mark up would be
[tex]\frac{40}{100}[/tex] times c
= 0.4c
So, Amount after mark up would be
c+0.4c
=1.4c
Answer: The expression for the retail price of a silver chain is 1.4c.
the lenght of a rectangle is 2.4 meters long and the diagonal is 4 what is the width of the rectangle
PLS HELP BRAIN LIST IF YOU GET IT RIGHT
Answer:
1 , 2 , 3, 4
Step-by-step explanation:
An expression is a finite combination of symbols that is well-formed according to rules that depend on the context. meaning it has no = sigh