Answer:p(x) = x^3 - 5x^2 - 4x + 20
Step-by-step explanation:
1, - 1, 2, - 2, 4, - 4, 5, - 5, 10, - 10, 20, - 20
P(2) = 2^3 - 5 × 2^2 - 4 × 2 + 20
= 8 - 20 - 8 + 20 = 0,
so, 2 is one of its roots (zeros)
So,
x - 2 is one of the factors of p(x)
So, on dividing p(x) by x - 2 we get
P(x) = (x - 2) (x^2 - 3x - 10)
= (x - 2) (x^2 - 5x + 2x - 10)
= (x - 2) {x (x - 5) + 2 (x - 5)}
= (x - 2) {(x - 5) (x + 2)}
P(x) = (x - 5) (x - 2) (x + 2)
For zeros, let p(x) = 0
=> (x - 5) (x - 2) (x + 2) = 0
Either
(x - 5) = 0
Or
(x - 2) = 0
Or
(x + 2) = 0
So, x = 5, 2, - 2
Simplify 5 to the power of negative 2 over 4 to the power of 6?
Answer:
Step-by-step explanation:
[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]
The father is three times as old as his son, Joe. Joe is four years older than his sister, Alexa. Alexa is twice as old as Rocky. Let R equal Rocky's age. Write an algebraic expression. Please Help!
Answer:
R=(F/3-4)/2
Step-by-step explanation:
Father = F
Joe = J
Alexa = A
R= Rocky
F=3J
A+4=J
A=2R
F/3=J
A=J-4
A=F/3-4
2R=F/3-4
R=(F/3-4)/2
Hope this helps!
Dance club has a $20 start up fee and a $5 monthly fee
M=
B=
Y=
9514 1404 393
Answer:
y = 5x +20
Step-by-step explanation:
We assume you want the total cost (y) of x months of membership at the dance club.
This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).
y = 5x +20
Comparing this to the slope-intercept form of the equation of a line, we see ...
y = mx + b
m = 5
b = 20
Find the slope of the line that passes through (4, 2) and (1, 6).
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 2)
Point (1, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6-2}{1-4}[/tex]Subtract: [tex]m=\frac{4}{-3}[/tex]Rewrite: [tex]m=\frac{-4}{3}[/tex]c/-5=17
pls help asap!!
Answer:
c=-85
Step-by-step explanation:
17*-5=c
17*-5=-85
A store at the mall was closing. Everything in the store was 75% off. If you
wanted to buy a $200 jacket, how much did it actually cost you? *
Answer:
the original price would be $800
Step-by-step explanation:
800-75% = 200
just use a calculator
use the order of operations to simplify 43/5 + 15 / 5 - 1/5.
A suitcase marked at $40 was sold at $32. What was the percentage of discount for the suitcase?
Answer:
Step-by-step explanation:
32/40
=0.8
so it's 20% off since it's a decay.
HELP NOW PLEASEEE
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week. (2 points)
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
does this ratio form a proportion? show ur work, please!
AnswerStep-by-step explanation:
[tex] \frac{5}{12} = \frac{170}{} [/tex]
[tex] \frac{5}{12} = \frac{5 \times 34}{12 times 34} [/tex]
Simplify
[tex] \frac{5 \times 34}{12 times 34} = \frac{5}{12} [/tex]
Therefore, the ratio from the relation of the information is proportional.
Please help me I am in a hurry to go somewhere so please help quick
Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35
Please select the best answer from the choices provided
sorry about the answer choices being mixed up im still in a hurry
Answer:
I'm so sorry I don't know this answer but good luck
Answer: since it doesn't tell you how you get it.
Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are
21, 35, 35.
So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...
The median is 35.
Convert - 3. - 3. - 3 to exponential form.
Answer:
-3 {3}
Step-by-step explanation:
:D
9. Find the missing Angle, show your
work
Answer:
30 degrees
Step-by-step explanation:
Since a triangle's angle measures add up to 180, you need to set up an equation to find the missing side.
130+20+? = 180
150+?=180
180 minus 150 is 30 so the missing side is 30 degrees
Answer:
30 degrees
Step-by-step explanation:
All three angles in a triangle always add up to be 180 degrees.
Add 20 and 130 to get 150. Then, subtract 150 from 180 to get 30 degrees.
Dhdgxgxgxg g g gg gxxgdgd
Answer:
B
Step-by-step explanation:
4:6 = 2:3
2:3 = 2:3
8:12 = 2:3
4:5 = 4:4
A submarine started at the surface of the water and was moving at -15 meters per minute. The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor. What is the change in the submarine position?
Given :
A submarine started at the surface of the water and was moving at -15 meters per minute.
The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor.
To Find :
The change in the submarine position.
Solution :
We need to find the position of submarine position from the surface of water.
Distance travelled = Speed × Time
Distance travelled = -15 m/min × 48 min
Distance travelled = 720 m
Therefore, the position of submarine is 720 m below the surface of ocean.
EXPLAIN THIS FORMULA PLS HELP ME
it means
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Racquel works 4 hours a week at the senior center on the weekends.
She gets paid $10.75 an hour. How much money will Raquel have
earned over the course of 3 weeks?
Answer:
$129
Step-by-step explanation:
First, we'll figure out how much Racquel earns per week by multiplying how much she gets per hour by the number of hours she works per week. We can solve 4x10.75 to find out how much money Racquel earns per week. We can solve that to find out that she earns $43 per week. Then, we can multiply that by 3 to find out how much she earns in 3 weeks. Once we solve 43x3 we will end up with an answer of $129 over the course of 3 weeks.
(hope this helped)
Helppppppppp pleaseee ASAP
Answer:
3
Step-by-step explanation:
Given that:
Larger square is a dilation of smaller square
Dimension of smaller square (5 - 3) units by (5 - 3) units = 2 by 2
Dimension of larger square (7 - 1) units by (7 - 1) units = 6 by 6
Hence, the scale factor used to create the larger square from the smaller square will be:
Scale factor (x) * side of smaller square = side of larger square
x * 2 = 6
2x = 6
x = 6/2
x = 3
Hence, scale factor used to generate larger square is 3
What is 6/2(1+2)=?
E
X
P
L
A
I
N
If you don't explain u won't get brainliest.
Answer:
Answer is 9
Step-by-step explanation:
Remember PEMDAS???
"parenthesis, exponents, multiplication, division, addition, subtraction"
you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.
Answer:
9
Step-by-step explanation:
First, we have to solve inside the parentheses because of PEMDAS or GEMDAS, whichever you know. When we add 1+2 we get 3 inside the parentheses and it looks like this: 6/2(3).
Then, we have to divide 6 by 2 before we do anything else. When we divide 6/2, we get 3 and it will look like this: 3(3).
Finally, we have to multiply 3 by 3 because when something is in parentheses, you have to multiply it by the number right before it (next to it). Once we multiply 3*3, we will get our answer of 9.
(sorry if this is confusing but I hope it helped anyway)
pls help me i need to do all my math for to day and i dont know how to do it
-11x(x+12)
Answer:
If you want to simplify, -11[tex]x^{2}[/tex]-132x
Step-by-step explanation:
...........................
How many solutions does the equation 5x + 10 = 5x − 8 have
please someone help me
Answer:
56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
got it from person above me have nice day
HELPPP PLEASE AAAAAAAAAAAAAAAAA
Answer:
The second option: 4 1/2 x = 22 1/2
Step-by-step explanation:
The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.
so 22 1/2 = l x w x h
Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x
Answer:
Answer:
The second option: 4 1/2 x = 22 1/2
The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.
so 22 1/2 = l x w x h
Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x
Step-by-step explanation:
The following equation is an example of a literal equation.
2(z + a) = 46
A Solve the glven equation for the variable a. In your final answer, Include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.
Answer:
a)
[tex]a=23-z[/tex]
b)
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
Step-by-step explanation:
a) Solving the equation
Given the expression
[tex]2\left(z+a\right)=46[/tex]
Divide both sides by 2
[tex]\frac{2\left(z+a\right)}{2}=\frac{46}{2}[/tex]
simplify
[tex]z+a=23[/tex]
subtract z from both sides
[tex]z+a-z=23-z[/tex]
[tex]a=23-z[/tex]
Thus, the value of a:
[tex]a=23-z[/tex]
b) Work Process
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.
Answer:
16
Step-by-step explanation:
its an ocosilse triangle cause of the 1 apat distance so 16 is the anser
Answer:
the 3rd angel is 120
the two exterior angels can be, 60 and 152
Step-by-step explanation:
the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.
the exterior angel is gained by adding two nonadjacent angles or the remote angels.
6X - 2 + 5x + 7 *
what’s the answer?
Answer:
x=2.2
Step-by-step explanation:
6X - 2 + 5x + 7
add like terms
11x+5
divide 5 on both sides
x=2.2
Hope this helps dont 4get to like and star
-mercury
Answer:
11x+5
Step-by-step explanation:
6X - 2 + 5x + 7
Group like terms=6x+5x-2+7
Add similar elements=11x-2+7
Add Subtract the numbers=11x+5
Please answer this for me!
6 X 10^-5 is how many times the value of 3 X 10^-8
Any number that has this, ^, beside it stands for upper score, meaning that it is has an exponent which is the number right after it.
And I already asked this question on here before but 4 some reason someone literally typed THEIR essay on Branches of Islam or something, and also something about Muslim religion. Where did that come from lol?
Answer:
= 4.4591 × 1010
(scientific notation)
= 4.4591^10
= 44.591 × 109
Its actually pretty hard, so I don't really want to show my explanations with words, but there is a number explanation. Sorry if this is wrong. It is pretty hard, since you asked lots of times, I tried to give it a go.
6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.
6 X 10^-5 is how many times the value of 3 X 10^-8 is to be determined.
Fraction is defined as the number of compositions that constitute the whole.
Let 6 X 10^-5 is x times the value of 3 X 10^-8.
[tex]6 * 10^{-5}= x 3 * 10^{-8}\\\\x = \frac{6 * 10^{-5}}{3 * 10^{-8}} \\\\x = 2 *10^3[/tex]
Thus, 6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″. If vertex P is at (3, -4) and vertex Q is at (5, -1), what are the coordinates of vertices P″ and Q″?
Answer:
Answer: The correct option is (D) P″(9, -12) and Q″(15, -3).
Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.
The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.
We are to find the co-ordinates of the vertices P″ and Q″.
Case I : ΔPQR dilated to ΔP'Q'R'
The co-ordinates of P' and Q' are given by
Case II : ΔP'Q'R' dilated to ΔP''Q''R''
The co-ordinates of P'' and Q'' are given by
Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).
Option (D) is CORRECT.
Step-by-step explanation:
Number 2 (algebra 2)
Answer:
Should I answer all the questions or just the second one
Answer:
B. Quintic
Step-by-step explanation:
The degree of the polynomial is the highest exponent in the polynomial. In this case it's 5, which means that its a quintic function