roots and solution
(polynomial equation)
x3 + 6x2 - x - 30 = 0
Answers
Answer:
hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it
Answer:
x=-5;-3;2
Step-by-step explanation:
all the details are in the attached picture (the answers are marked with red colour).
1) to determine the possible roots;
2) to check the possible roots, then to stop when the first one is found (it is 2);
3) to perform division of polynoms, then to re-write the given equation in comfortable form;
4) to calculate other roots.
Note, the suggested solution is not the shortest way and not the only one.
P.S. make the design according local requirements.
Related Questions
A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.
Original Problem:
3x−2y=8
x+y=2
Student Work:
3x−2y=8
2x+2y=2
5x=10
x=2
Answers
The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.
They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.
So they should have this new equivalent system
[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]
Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4
Use that x value to solve for y. You should get y = -2/5 = -0.4
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit Reflection about the x-axis followed by a translation to the left by 1 unit Reflection about the y-axis followed by a translation to the right by 1 unit
Answers
What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.
Answers
Your welcome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.
What is the Y-intercept of a Linear Function?The y-intercept of a linear function is the initial value or the value of y when x equals 0.
The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.
Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.
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eight pounds of potatoes is 16 dollars. how much for 5 punds
Answers
Answer: that equals to 1.6
Step-by-step explanation:
h
V = πη2
3
Which of the following represents the formula that could be used to find the height of the cone?
Answers
Answer:
3
Step-by-step explanation:
simplify the equation
Answers
It simplifies to 5/3 x plus 2/3 x which equals 7/3 x. This becomes 2 and 1/3 x.
And 8/3 is 2 and 2/3.
The last 2 answers are wrong because 1/3 times -8 gives a negative number.
Remember that when you multiply by 3/3 you change the form but not the number.
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answers
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.
Answers
help me please!! and thank you
Answers
Answer:
(-2.5,3) is x1 y1 respectivelly. Apart from this, what part of the question are you struggling with?
Factor the following polynomial completely. x2n – y2n
Answers
Answer:
(x/y)^2n-2n
(x/y)⁰
=1
since any number raised to power of 0 is 1
I need help i will give brainly
A grain silo on a farm holds 500 pounds of grain. The equation shown represents the total amount of grain, y, remaining in the silo x minutes after the farmer begins to release the grain.
y=−5x+500
What does the -5 represent in the equation in reference to this situation?
Answers
Answer:
the negative 5 is showing that you are losing grain in the silo because you are letting some out.
In this problem, it shows how much rice is being lost which is why the number is negative
PLEASE HURRY THIS IS TIMED !!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which pairs of numbers are equivalent?
Select each correct answer.
15/8 and 1 7/8
35/4 and 8 3/4
23/6 and 4 1/6
11/4 and 2 1/2
40/12 and 3 1/3
i need this fast
Answers
Answer:
4 an 5
Step-by-step explanation:
Answer:
15/8 and 1 7/8
35/4 and 8 3/4
40/12 and 3 1/3
Step-by-step explanation:
15/8 and 1 7/8:
Convert the improper fraction into a mixed number: [tex]\frac{8+7}{8}[/tex]
Calculate the sum or difference: [tex]\frac{15}{8}[/tex]
Check equivalency: True
Answer: True
=================================================================
35/4 and 8 3/4
Convert the improper fraction into a mixed number: [tex]\frac{8*4+3}{4}[/tex]
Calculate the product or quotient: [tex]\frac{32+3}{4}[/tex]
Calculate the sum or difference: [tex]\frac{35}{4}[/tex]
Check equivalency: True
Answer: True
================================================================
23/6 and 4 1/6
Convert the improper fraction into a mixed number: [tex]\frac{4*+1}{6}[/tex]
Calculate the product or quotient: [tex]\frac{24+1}{6}[/tex]
Calculate the sum or difference: [tex]\frac{25}{6}[/tex]
Check equivalency: False
Answer: False
===============================================================
40/12 and 3 1/3
Reduce the fraction: 10/3
Convert the improper fraction into a mixed number: [tex]\frac{3*+1}{3}[/tex]
Calculate the product or quotient: [tex]\frac{9+1}{3}[/tex]
Calculate the sum or difference: [tex]\frac{10}{3}[/tex]
Check equivalency: True
Answer: True
================================================================
11/4 and 2 1/2
Convert the improper fraction into a mixed number: [tex]\frac{2*+1}{2}[/tex]
Calculate the product or quotient: [tex]\frac{4+1}{2}[/tex]
Calculate the sum or difference: [tex]\frac{5}{2}[/tex]
Check equivalency: False
Answer: False
Find the measures of the interior angles of the triangle.
Answers
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.
I need the answer quick please!
Answers
Answer:
125.1698 Ft
Step-by-step explanation:
Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD
Answers
im not sure sorryyyyyyyyyyyyyyy
ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x
Answers
Step-by-step explanation:
so as ∆BCE is a right angled triangle
angle BEC = 90°
angle CBE = 22° (given)
apply angle sum property of triangle
so according to that
BCE + CBE + ECB = 180
22° + 90° + ECB = 180
102° + ECB = 180
ECB = 180 - 102
ECB = 78°
and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,
so ,
x = 78°
hope this answer helps you dear! take care
Simplify the expression.
3.7-4.6n-3n + 6
Answers
Answer:
−7.6n+9.7
Step-by-step explanation:
First, lets put the equation
≈3.7 - 4.6n - 3n + 6
Add light terms
−7.6n + 9.7
Now were done
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answers
Answer:
answer is 2
Step-by-step explanation:
funny pic
Which postulate would prove the two triangle congruent?
Answers
Answer:
SSS
Step-by-step explanation:
The two triangles share DT so they must be congruent
b/4 + 2 = -1
Please help, I’ll give brainliest to whoever answers correct first.
Answers
Answer:
[tex]\frac{b}{4}+2=-1[/tex]
Subtract 2 from both sides:
[tex]\frac{b}{4}+2-2=-1-2[/tex]
[tex]\frac{b}{4}=-3[/tex]
Multiply 4 to both sides:
[tex]4*\frac{b}{4} =-3*4[/tex]
[tex]b=-12[/tex]
Please help! I really need to get the answer correct
Answers
Answer:
x + 9y²
Step-by-step explanation:
A prime polynomial is simply an irreducible polynomial.
x + 9y² is a prime polynomial
First, we test the options.
x + 9y²
The above function cannot be reduced further.
Hence, x + 9y² is a prime polynomial
3m + 9n
Factor out 3
3 (m + 3n)
3m + 9n is not a prime because it can be factored as 3 (m + 3n)
8x^7 - 9x + 12x²
Factor out x
x(8x^6 - 9 + 12x)
8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)
Hence, x + 9y² is a prime polynomial
Which variable expression represents the following word phrase?
four times the sum of five and a number
Answers
Answer:
c
Step-by-step explanation:
c represents adding 5 and n together, and multiplying it by four.
Four times the sum of five and a number equivalent expression is 4(5 + n) which is the correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs arithmetic operations is called arithmetic operator.
Operators let do basic mathematical calculations.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
Let the number be n
To determine the four times the sum of five and a number
The sum of five and a number as
⇒ 5 + n
So, four times the sum of five and a number as
⇒ 4*(5 + n)
Hence, four times the sum of five and a number equivalent expression is 4(5 + n).
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A yard is 33.22 m long and 17.2 m wide.
(a) What length of fence must be purchased to enclose the entire yard?
(b) What area must be covered if the yard is to be fertilized? PLEASE HELP FOR A TEST
Answers
Answer:
A. = 100.84 m
B. 571.384 cubic m
Step-by-step explanation:
a.
33.22+33.22+17.2+17.2 =100.84m
b.
33.22x17.2 = 571.384 m2
What is the value of the rational expression when x = –3?
-1/12
0
1/6
undefined
Answers
Option D is correct, the value of the rational expression when x = –3 is undefined.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is x/x²-9
x divided by x square minus nine.
Now let us find the value of the expression when x is minus three,
Plug in x as -3 in the above expression.
-3/(-3)²-9
-3/9-9
-3/0
Anything divided by zero then the value is undefined.
Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.
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What is the value of the rational expression x/x2-9 when x = –3?
A. -1/12
B. 0
C. 1/6
D. Undefined
The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable.
Answers
Answer:
36, 14, -12
variable
Step-by-step explanation:
1st Rate of change is 18 - 0 / 0.5 - 0 = 18/0.5 = 36
2nd rate of change is 32 - 18 / 1.5 -0.5 = 14 / 1 = 14
3rd rate of change is 26 - 32 / 2 - 1.5 = -6/0.5 = -12
so the rates of change are variable
Bonie reduced the size of a photo to a height of 4 in. what is the new width if it was orginally 16 in tall and 8 in wide?
Answers
Answer:
i need help with this one too
Step-by-step explanation:
Answer:
2 inches
Step-by-step explanation:
I hope it helps you!
Please help I need the answer quickly.
Answers
Answer:
r = ± [tex]\sqrt{q^2-p^4[/tex]
Step-by-step explanation:
p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )
(p² )² = q² - r²
[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )
[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )
q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )
± [tex]\sqrt{q^2-p^4}[/tex] = r
4,00
.
5. Mr. Brown has $410,000 in a retirement account that earns 3.85% interest each year. Find the
amount earned each year by his investment.
Answers
Answer:
9 dollars
Step-by-step explanation:
cuz 9 dollars
it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio
Answers
Answer:
Ratios are basically proportions so in this scenario
We can make it…
brick layers : hours
We’re given the first one which is
3:2
Whilst the one we need to find is only given for brick
For the unknown hours we can make it “x”
4: x
Now we have 2 ratios
3:2
4:x
Now these are fractions and we can make them equal to each other by
3/2 = 4/x
Now cross multiply to solve for x
3x=8
2 2/3 = x
So 2 2/3 hours