Answer:
f(x) = x^3 + 2x^2 + x + 2
Step-by-step explanation:
If -2 + i is a zero, then -2 - i must also be a zero.
These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).
(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.
Multiplying this result by the 3rd and last factor, (x + 2), we get
(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2
Check, using synthetic division. What are the factors of x^3 + 2x^2 + x + 2?
-2 / 1 2 1 2
-2 -2 -2
-----------------------
1 0 -1 0 Since the remainder is zero, we know that
(x + 2) is a factor and -2 is a root.
What is the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights?
What must be the annual payment you receive in order to earn 6.3% rate of return on a perpetuity that has a price of $245.1? (Answer in $s to the nearest cent, i.E. Xx.Xx, with no $-sign or commas needed.)
Answer:
the annual payment received is 15.44
Step-by-step explanation:
The computation of the annual payment received is shown below:
As we know that
Perpetuity = Payment ÷ rate of return
$245.1 = Payment ÷ 6.3%
So, the payment is
= $245.1 × 6.3%
= 15.44
Hence, the annual payment received is 15.44
We simply apply the above formula so that the annual amount could come
Helppppppppppp
31. The students are selling wrapping paper to raise money. Each roll of paper rolle for 5%,
Part A
Write m expression that represents the total amount of money, in dollars, the students raise
from selling x rolls of wrapping paper
Part B.
The goal of the students was to raise $600. They sold 6% rolls of paper. By what amount did
the students miss their goal of raising 5600? Show or explain all of your work
Answer:
So The Answer would be 600=1.05x and 600=1.06x for part A and B
Step-by-step explanation:
For Part B If there goal is to raise 600$ then 5% of 600$ = 30$ per roll of wrapping paper;
Part A: 600= 1.05x
The expression 1.05 represents the 5% increase for X wrapping paper sold to the equivalent of 600$
For end of the Question Im unsure what they mean they "missed there goal of raising 5600?.. 5600$ or 560.0$?"
What is the ordered pair for point A & F
A: A = (1, 6) & F= (5,1)
B: A= ( 6, 1) & F = (0,5)
C: A = ( 1, 6) & F = (5, 0)
D: A = (1,6) & F = ( 1,5)
How do you find the value of x in the triangle?
To find the value of x in a triangle, you need to subtract the sum of the two angles from 180 degrees. Know that the sum of all the angles of a triangle will always equals 180 degrees. Then write down the difference of subtracting the sum of the two angles from 180 degrees and that would equal the value of x.
I hope this helped in some way, if it didn't, im so sorry.
3/4•3/4 in fraction from?
Answer:
9/16
Step-by-step explanation:
Multiply across -
3*3 = 9
4*4 = 16
9/16
A student is evaluating the expression below for n=3.7.12.8+6(n-0.5) in what order should the student do the steps?
Answer:
32
Step-by-step explanation:
The given expression is :
12.8+6(n-0.5)
We need to evaluate the expression for n = 3.7
Put n = 3.7 in the above expression.
12.8+6(3.7-0.5)
= 12.8+6(3.2)
= 12.8 + 19.2
= 32
So, the value of the given expression is equal to 32.
Is x polynomial or not? If it is, state the type and degree of the polynomial.
Answer:
SORRY I DONT KNOW THE ANSWER
Step-by-step explanation:
EASY!!!!!! ILL MARK BRAINLIEST
Answer:
-2a (small 2) + 4a - 8
Step-by-step explanation:
URGENT!!
A rectangular prism made of 1/4-inch cubes is shown.
What is the volume of the rectangular prism? Do not include units in your answer.
Answer:
1 1/2
Step-by-step explanation:
find the L W H and multiply it and divide by 1/4.
Hope this helps :)
The volume of the rectangular prism is 24 inches cube.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of cuboid = length × height × width.
The volume of the cube = side³.
Given the rectangular prism with a bunch of small cubes whose volume is 1/4 inches³.
Number of small cubes = 8 × 4 × 3 = 96
The volume of the complete prism = Volume of 1 cube × the Number of small cubes.
The volume of the complete prism = 1/4 × 96
The volume of the complete prism = 26 inch³.
Hence "The volume of the rectangular prism is 24 inches cube".
To learn more about volume,
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NEED ASAP
a board that is 3 yards long is to be cut into 4/5 equal-size pieces. how many whole pieces can be cut?
Answer:
Only 3 boards can be cut if they are whole
Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!
Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z
Answer:
5x+14y+9z
Step-by-step explanation:
combine 8x and -3x to get 5x
combine 5y and 9y to get 13y
combine -4z and 13z to get 9z
I will mark Brainliest just help meee
Answer:
h
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Function G
in the formula
y=mx+b
B is also a way to find the y intercept
in function G the y-intercept is 6
and in the graph the y-intercept is 4
6 is greater than 4 so
Function G is larger
can someone help me
Answer:
The option that is down and right
Step-by-step explanation:
4x means there will be 4 of that variable which is x and the equal to is 24 which is at the bottom
X 2. Gi'shon needs to complete the expressions below to factor x2 + x - 56. 0/1 Which of the following must be true? * ( x1)x___)
F. Both expressions will include subtraction.
G. The sum of the values in the blanks should be 1. X Х
H. The product of the values in the blanks should be 56.
J. The values in the blanks will be the same number but opposite signs
Answer: gggggg
g the sum of values are 1
Step-by-step explanation: 8-7=1
The factorized form of the expression is A = ( x - 7 ) ( x + 8 ) and sum of the values in the blanks should be 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = x² + x - 56
On factorizing the equation , we get
A = x² + 8x - 7x - 56
8x - 7x = 1
So , A = ( x - 7 ) ( x + 8 )
Hence , the expression is A = ( x - 7 ) ( x + 8 )
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1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)
Answer:
6x*2-3x*2y
4p-18
Step-by-step explanation:
rewrite the equation 12x=13-x^2
Answer:
x^2+12x-13 = 0
Step-by-step explanation:
12x=13-x^2
=>12x+x^2=13-x^2+x^2
=>x^2+12x-13 = 13-13
=> x^2+12x-13 = 0
Answer:
x² + 12x - 13 = 0
Step-by-step explanation:
12x = 13 - x²
the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;
0 = 13 - x² - 12x
0 = -x² - 12x + 13
In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:
x² + 12x - 13 = 0
simplify (2+3)squared-16 divided by 2
Answer:
it would be 4.5
Step-by-step explanation:
basic explantion
step 1. 3+2 =5
step 2 5x5=25
step 3 25-16=9
step 4 9 divde by 2= 4.5
simplifyed it would be 25-16 ÷ 2
more deatialed explanation.
I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5. hope this helped!
What is the value of x in the equation One-third x minus two-thirds = negative 18?
–56
–52
52
56
Answer:
-52, I think
Step-by-step explanation:
Solve the system of equations.
14x + 5y = 31
2x – 3y = -29
2 =
y =
Answer:
X,y=83/52 ,45/26
Step-by-step explanation:
just look up your answer and you will find the step by step. Hopefully this helped :)
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation???
Answer:
sample 3:9
Step-by-step explanation:
hope this helps
pls mark me branliyest
Zena saves $5 for every $30 she earns. Which of these describes the rate at which Zena saves?
A $1 saved for every $5 earned
B. $1 saved for every $6 earned
C. $6 saved for every $5 earned
D. $0.60 saved for every $10 earned
Answer:
I think it is c because yah
What is the equation of a circle with center (−3, 0) and radius 20?
Answer:
(x + 3)^2 + y^2 = 20^2
Step-by-step explanation:
If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or
(x + 3)^2 + y^2 = 20^2
I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
Help please.........
What is 73/48 simplified
Answer:
The Decimal form is: 1.52083 (and the 3 keeps going and going)
Is mixed number it is: 1 25/48.
What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4
Answer:
aₙ = 3n - 11Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]
d = -5 - (-8) = - 5 + 8 = 3
a₁ = -8
Therefore:
[tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]
Find the slope of the line y= -2/3x
Find the perimeter. Simplify your answer.
Answer:
5c^2+2cd-2d^2-15
Step-by-step explanation:
Hello, to find the perimeter of any shape, you just add all the side together. In this picture, you would add all the sides up like this:
4c^2+4cd+12+-5d^2-5cd+2+c^2-d^2+1+3cd+4d^2-30
Then, combine like terms (add all of the numbers with the certain variable together) and you would get the answer which is:
5c^2+2cd-2d^2-15
A rectangular painting is 2 feet long and 56 foot wide. Which is the area of the painting?
A. 1 2/3
B. 2 5/6
C. 3 1/3
D. 5 2/3
Answer:
I'm pretty positive it should actually be 112.
Step-by-step explanation:
You find the area of a rectangle by multiplying length times width. I don't know how else to explain that all of the answers are incorrect.
