Answer:
The Cubic Polynomial given here is
x³ - x² - x -3 =0
Rational root theorem :
Consider any polynomial
[tex]→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0[/tex]
So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.
Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .
Option 1. -3,-1,1,3 is correct optionAnswer:
-3, -1 , 1, 3
Step-by-step explanation:
Constant factors: 1, -1, 3, -3
Coefficient factors: 1, -1
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]
Solve. 10−2x=3x+7
x=3/5
x=17/5
x = 17
Answer: x = (3/5)
Step-by-step explanation:
10−2x=3x+7
3 = 5x [Consolidate terms]
x = (3/5)
Solve for the value of K
Answer:
k = 5
Step-by-step explanation:
The straight angle is 180º
The right angle is 90º
Therefor
(8k + 1) + 90 + 49 = 180
combine like terms
8k + 140 = 180
Subtract 140 from both sides
8k = 40
Divide both sides by 8
k = 5
Answer:
16.25
Step-by-step explanation:
4. What are deductions?
A.)the amount of money added to the gross pay for commission-based sales
B.)the amount of money included with tips
C.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits
D.)incentives employees earn for the amount sold
Answer:
C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits
Step-by-step explanation:
Answer:
the answer is C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits
x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)
Answer:
A. (-5,3)
Honestly, that is pretty much it and uh.Yeah
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
1) For each diagram, decide if y is an increase or a decrease relative to x. Then determine how much it increased or decreased.
Answer:
i dont know
Step-by-step explanation:
YES I AM GIVING A BRAINLIST :D
Which of the following systems of equations has exactly one solution?
Answer:
y=10x-2x ................
help algebra 2 100 points if you answer right
the second one is the answer <i think>
[tex]\\ \tt\hookrightarrow (f+g)(x)[/tex]
[tex]\\ \tt\hookrightarrow f(x)+g(x)[/tex]
[tex]\\ \tt\hookrightarrow 4x^2-5x+3x^2+6x-4[/tex]
[tex]\\ \tt\hookrightarrow 7x^2+x-4[/tex]
Option B is correct
Jayden needed gloves
and bought 2 packages
of gloves. There were 5
pairs in each package.
He added this to the 3
pairs of gloves he
already owned. How
many gloves did Jayden
now own?
Answer:
Jayden has 13 pairs of gloves.
Step-by-step explanation:
2 packages multiplied by 5 pairs = 10
10 pairs plus 3 pairs he already had
= 13 pairs of gloves total
Is this a function?
Answer:
No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.
Step-by-step explanation:
Hurry I will give brainlyest!!!!
What are the factors of this expression?
34xy
Drag all of the factors of the expression into the box.
Factors
3/4 -1 3 4 x y
34, x, y are factors of this expression.
- BRAINLIEST answerer
one third of the result of three times a number that is increased by 12
Answer:
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
find the length of x in the figure below. round your answer to 3 significant figure
Answer:
where is the figure? or tell us the area and width of the figure
Question 4 of 30
Find the domain of the graphed function.
Answer:
A is the answer
Step-by-step explanation:
evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =
Answer:
h(4) = -1 ; h(-5) = 1 h(0) = -9
Step-by-step explanation:
a) h(x) = |-2x| - 9 Substitute x = 4
h(4) = | -2 · 4| - 9
h(x) = | -8| - 9
h(4) = 8 - 9
h(4) = -1
b) h(x) = |-2x| - 9 Substitute x = -5
h(-5) = |-2 · -5| - 9
h(-5) = |-10| - 9
h(-5) = 10 - 9
h(-5) = 1
c) h(x) = |-2x| - 9 Substitute x = 0
h(0) = |-2 · 0| - 9
h(0) = |0| - 9
h(0) = 0 - 9
h(0) = -9
Admission to a science museum is $22 for an adult. The cost for a child is five dollars less than the cost for an adult. What would be the total cost of admission for 12 adults and 15 children? Explain.
A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above
Answer:
118.72
Step-by-step explanation:
I just used my calculator 0-0 hope this helped :)
PLS HELP ASAP ILL GIVE BRAINLKEST I PROMISE ITS DUE IN A FEW HOUR
question 1. is 2
question 2 -13
Answer: Question 2 answer is 4 Question 3 answer is 12
Step-by-step explanation:
Question 2: 42*4=168
43*5=210
1 2/5m-3/5(2/3m+1) pls help me I need to simply it
In fraction form: -(3/5)
Decimal form: -0.6
Hope this helps!
Anyone know what this truly means?
Answer:
The person is saying that everyone has their own view of God.
A example is...
"I believe God isn't real"That is someones view on God.
ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8
Answer:
Below.
Step-by-step explanation:
Using PRT/100 = I, we can prove that x = 8.
=> 1000 x 0.65 x 8/100
=> 10 x 0.65 x 8
=> 6.5 x 8
=> £52
Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.
Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.
Show your work for each way you find x.
Answer:
Step-by-step explanation:
plato answer
The product of −2 and a number x is greater than 30. Whats the solution of the inequality.
Answer: x < -15
Step-by-step explanation:
(-2)*(x) > 30
x < -15 The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).
Mrs. O has $30 to give to students who are doing their best work so far today she has given 1/3 of the money away how much money does she have left?
Answer: $10
Step-by-step explanation: if helped pls leave a thanks <3
Answer:
$10 left
Step-by-step explanation:
1/3*30=10
Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age
Answer:
Victoria is 4 years older than her neighbor
Step-by-step explanation:
V = x + 4
x = neighbors age
x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little
2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5
(Hope this helps can I pls have brainlist (crown☺️)
Answer: 5
Step-by-step explanation:
Let x be the age of Victoria's neighbor.
Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.
The sum of their ages is no more than 14 years, which can be written as:
x + (x + 4) ≤ 14
Simplifying the inequality:
2x + 4 ≤ 14
2x ≤ 10
x ≤ 5
Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.
Tentukan Penyelesaian dari persamaan berikut
Need help with this one too plzzz
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
Hi, please help again lol
Answer:
?? No questions asked here