Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.
Answer:
Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.
Raise the factor to the power of the multiplicity. For instance, if the zero -1 in the example has a multiplicity of two, write the factor as (x +1)^2.
Repeat Steps 1 and 2 with the other zeros and add them as further factors. For instance, if the example polynomial has two more zeros, -2 and 3, both with multiplicity 1, two more factors -- (x +2) and (x -3) -- must be added to the polynomial. The final form of the polynomial is then ((x +1)^2)(x +2)(x -3).
Multiply out all the factors using the FOIL (First Outer Inner Last) method to get the polynomial in the standard form. In the example, first multiply (x + 2)(x - 3) to get x^2 + 2x - 3x - 6 = x^2 - x - 6. Then multiply this with another factor (x + 1) to get (x^2 - x - 6)(x + 1) = x^3 +x^2 - x^2 - x - 6x - 6 = x^3 - 7x - 6. Finally, multiply this with the last factor (x + 1) to get (x^3 - 7x - 6)(x + 1) =x^4+x^3-7x^2-7x-6x-6 = x^4 + x^3 - 7x^2 - 13x - 6. This is the standard form of the polynomial.
2/3(6x-12)=4(2x+3)
4(4x-2)=2(8x-2)
Answer:
x=-5-4=0
Step-by-step explanation:
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden with edging that costs $0.75 per foot. About how much will the edging cost?
Answer:
$2.25 is answer
perimeter of circular garden=2πr=2×π×1.5=3πfeet
1 foot=$0.75
3πfeet=3×$0.75=$2.25
LI
EA
5
S
3. What is 4/5x 25?
a. 5
b. 10
C. 15
d. 20
Answer: D. 20
Step-by-step explanation:
(4/5)(25/1)
= 100/5
=20
20a + 158 + 6c = 20 ( 6 ) + 15 (4) + 6 (8)
Answer:
28 plus tht 58
gghhjjjiijcddc viii kiub
Answer:
Step-by-step explanation:
The coordinates of the line are (-7,8) and (2,-3), what is the slope of the line
Questions Below. Would Appreciate Help!
Answer:
The function that could be the function described is;
[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]
Step-by-step explanation:
The given parameters of the cosine function are;
The period of the cosine function = 3
The maximum value of the cosine function = 20
The minimum value of the cosine function = 0
The general form of the cosine function is presented as follows;
y = A·cos(ω·x - ∅) + k
Where;
[tex]\left | A \right |[/tex] = The amplitude = Constant
The period, T = 2·π/ω
The phase shift, = ∅/ω
k = The vertical translation = Constant
Therefore, by comparison, we have;
T = 3 = 2·π/ω
∴ ω = 2·π/3
The range of value of the cosine of an angle are;
-1 ≤ cos(θ) ≤ 1
Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;
y = A × cos(ω·x - ∅) + k
y = 10 × 1 + 10 = 20 = The maximum value of the function
Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;
y = 10 × -1 + 10 = 0 = The minimum value of the function
Given that the function is a reflection of the parent function, we can have;
A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;
y = -10 × -1 + 10 = 20 = The maximum value of the function
Similarly, for cos(ω·x - ∅) = 1 we get;
y = -10 × 1 + 10 = 0 = The minimum value of the function
Therefore, the likely values of the function are therefore;
A = -10, k = 10
The function is therefore presented as follows;
y = -10 × cos(2·π/3·x) + 10
Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he paid $28.60. Find the percent tip.
Answer:
30%
Step-by-step explanation:
28.60-22=6.60
6.60/22=0.3
Answer:
30% tip
Step-by-step explanation:
First, we need to find out how much money Brayden left for the tip. To find this, we'll subtract the initial bill from the remaining bill. It will look like this:
$28.60 - $22 = $6.60
We now know that Brayden left a tip of $6.60. Next, we need to set up a proportion to find out what percentage that is. For the first fraction, we need to plug in the tip and the initial bill. We'll use t to represent the tip, and w to represent the whole. It will look like this:
[tex]\frac{6.60t}{22w}[/tex]
Next, we need to set up the second fraction of the proportion. We know that every percent is out of 100, so we know that 100 will be our bottom number. We are solving for the percentage out of 100, so we will use x in its place. The final proportion will look like this:
[tex]\frac{6.60t}{22w} = \frac{x}{100w}[/tex]
Finally, we'll cross multiply and divide to get the final answer. First, multiply 6.60 by 100 to get 660. Finally, divide 660 by 22 to get a final answer of 30%. Brayden left a 30% tip on the bill. The final calculations are as follows:
6.60 X 100 = 660
660 / 22 = 30%
(−3p2+5p−2)+(−p2−8p−15)=
Answer:
Step-by-step explanation:
When you distribute a positive sign to a parentheses, you essentially change nothing. So, you can drop all of the parentheses for this entire equation. Now combine like terms.
[tex]-4p^2-3p-17[/tex]
or
[tex]-1(4p^2+3p+17)[/tex]
Can somebody help. Will mark brainliest.
Answer:
12/20
Step-by-step explanation:
Cos is adjacent/hypotenuse. 12 is adjacent to angle C and 20 is the hypotenuse. 12/20 is the cosine of C.
Write out the first five odd numbers, starting at 1
Answer:
1, 3, 5, 7, 9
Step-by-step explanation:
hope this helps!
Find the area of the rectangle please help!
Answer:
Step-by-step explanation:
27/8 or 3 3/8 or 3.375
Answer:
27/8 or 3 3/8
Step-by-step explanation:
So you would convert both fractions into improper numbers.
So 2 1/4 would be 9/4
And 1 1/2 would be 3/2
Then you would multiply them both. Your answer would be 27/8
Put Answer below....
Selma spent 1/10 of her allowance on a new backpack. What percent of her allowance did she spend?
PLEASE HELPP
Answer:
10%
Step-by-step explanation:
1 thank for me=2 thanks for you
5 star rating=3 thanks for you
brainliest for me=5 thanks for you
What is the value of angle 2?
1//2
+
66°
Please helpp
Answer:
The value of angle 2 is 114 degrees
Step-by-step explanation:
We start with 180 degrees, since it is a Line.
To fine the other degree, subtract 66 from 180, which is 114
Angle 2 is 114 because of the theory of interior alternate angles are congruent. Angle 1 is 66 degrees because of the same reason.
Will give Brainliest!!!
What is the y=mx+b of the equation x+y=−4
Answer:
y= -x-4
Step-by-step explanation:
x+y=-4
move the x to the other side
y= -x-4
El resultado de la multiplicación
1/10 x 1/10
Convierte a número decimal la fracción que obtuviste
Porfis es para hoy
Answer:
0.01 your welcome!! bye
I need help on this one.
Answer:
1. 65°
2. 115°
Step-by-step explanation:
1 is a linear pair
2 u just do 180 - 65 =___
that is ur answer
Answer:1. 65 2. 115
Step-by-step explanation:
the opposite side is 65 so is the one directly across it because it’s linear
A straight line is 180 so you subtract 65 from 180 to get 115
Please I need ASAP thank you very much
Answer:
a. 0= 3^3-2(3)^2-2(3)-3
(set the equation to zero. x=3, so plug 3 into all of the x's ^^)
27-18-6-3
(do all of the multiplying and stuff ^^)
0
(combine like terms ^^)
Step-by-step explanation:
i hope this helps!!
What is the slope of the line shown below?
Answer:
Option D
Step-by-step explanation:
We are given the two points of (5, 11) and (-5, -1).
Use the slope formula.
[tex]m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}[/tex]
The correct option should be Option D.
Hope this helps you.
the average screen time for middle school students is 240 minutes per day. In 2020 students went into virtual learning and the average screen time is 70 percent longer. What is the total percent of screen time this year?
Answer:408=screen time
Step-by-step explanation:240+168 70%=168
make sure to like with the heart
Answer:
I believe 408 minutes a day
Step-by-step explanation:
So, I have my own method which is to divide the whole (in this case, 240) by 10 and multiply by whatever percent you have to multiply by and you add it to the whole.
ex.
240/10 = 24
24x7=168
240+168= 408
to do with 100s like 73% then divide the whole by 100 :)
Missy has 4 times as many trading cards as her friends Ashe and Caleb combined. Ashe
has 17 cards. Missy has 156 cards. How many trading cards does Caleb have?
Answer:
22
Step-by-step explanation:
Missy has 156 cards in total. Since we know she has 4 times as many as them, we divide 156 by 4
156/4= 39
Ashe has 17 cards and we still don't know how many Caleb has. Since we know that they have 39 cards together, we need to subtract Ashe's cards to find how many Caleb has
39-17=22
Let's check our work
Caleb has 22 cards
Ashe has 17 cards
Together they have 39
Which is 4 times less than how many cards Missy has
Missy has 156 cards
We are correct!
Nine filled jugs contained 4.5 L of milk altogether, how much milk would 5 filled jugs contained in total
Ava takes care of 6 horses Each horse eats about 85 pounds of feed per year. How many pounds of feed will all the horses eat in 18 months?
A. 114lb
B. 30lb
C. 108lb
D. 765lb
solve the equation below
-3 (x+7) =9
Answer:
x=-10
Step-by-step explanation:
-3(x+7)=9
-3x-21=9
add 21 to both sides of equation
simplify divide both sides by like terms
simplify again and you have your answer
please help i will give brainliest
Answer:
[y]
-16
-12
0
12
16
Step-by-step explanation:
Put the x value in the equation to find your answer
Answer:
-16
-12
0
12
16
Step-by-step explanation:
y = 4(-4) = -16
y = 4(-3) = -12
y = 4(0) = 0
y = 4(3) = 12
y = 4(4) = 16
Please Help!
What is the area and perimeter
of this figure.
CAN SOMEONE PLS HELP ME ASAP!!!!
Find the volume of the new fish tank in the front office. The picture is below and thanks for your help
Mariah ordered 50 beads. 8 of the beads were blue. What percent of the beads were blue?
Answer:
16%
Step-by-step explanation:
Hope this helps :D
She counted the money and found out she has $14.90 in the jar. How many dimes and quarters does she have?
Answer:
There're too much possibilities of the answer.
help please
solve for X
