First find Divisor
Two zeros are -3,-2[tex]\\ \sf\longmapsto x^2-(-3-2)+(-3)(-2)[/tex]
[tex]\\ \sf\longmapsto x^2+5x+6[/tex]
Dividend given by
[tex]\\ \sf\longmapsto x^4-x^3-16x^2+4x+48[/tex]
We know
[tex]\boxed{\sf Dividend=Divisor\times Quotient +Remainder}[/tex]
Remainder is 0[tex]\\ \sf\longmapsto Dividend=Divisor\times Quotient[/tex]
[tex]\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}[/tex]
[tex]\\ \sf\longmapsto x^2-6x+8[/tex]
Now factor
[tex]\\ \sf\longmapsto x^2-6x+8=0[/tex]
[tex]\\ \sf\longmapsto x^2-4x-2x+8=0[/tex]
[tex]\\ \sf\longmapsto x(x-4)-2(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (x-4)(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x-4=0\:or\:x-2=0[/tex]
[tex]\\ \sf\longmapsto x=4\:or\:x=2[/tex]
Hence all zeros are
2,-2,-3,4When a number is subtracted from 52 and the result is divided by 6, the answer obtained is twice the original number. What is the number?
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G
An account pays 3.1% interest compounded quarterly.
Marson will make a regular deposit at the end of every 3 months, and wishes to reach a goal of $4500 after 3 years.
What is the amount of the regular deposit every 3 months?
$356.92
$349.39
$374.95
$359.29
please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
Eduardo has in his pocket $1 in pennies, $1 in nickels, and $1 in dimes. If he randomly pulls out just one coin, what is the probability that he will pull out a dime?
The probability of picking a dime from the coins in his pocket is 1/13
1 penny = 1 cent
Hence, 100 pennies = $1
1 nickel = 5 cent
20 nickels = $1
1 dime = 10 cent
10 dime = $1
This means that :
Eduardo has :
100 pennies 100 pennies 20 nickels 100 pennies 20 nickels 10 dimesTotal coins = (100 + 20 + 10) = 130 coins
Recall :
Probability = required outcome / Total possible outcomes
P(dime) = number of dimes / total coins
P(dime) = 10 / 130 = 1/13
Hence, the probability of picking a dime = 1/13
Learn more : https://brainly.com/question/18153040
Solve. 4x + 3 = 47
A x= 11 B x=40 C x=44 D x=50
Answer:
x=11
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Hi ;-)
[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]
what is the answer to this equation. x-8/3=3
Answer:
x − 1 ⋅ 8 /3 = 3
Solve
Step-by-step explanation:
Multiply the numbers
x−1⋅3/8=3
x - 3/8 = 3
Add 8 /3 to both sides of the equation
− 8 /3 = 3
x−3/8=3+ 8/ 3 = 3
Simplify
Solution
= 1 7/ 3
there you go hope this helpedSolve for x 6(x-1)=9(x+2)
Answer:
-8
Step-by-step explanation:
6(x-1) = 9(x+2)
6x - 6 = 9x +18
-24 = 3x
-24/3 = x
x = -8
Hope this helps!!
Answer:
6(x-1)=9(x+2)
6x-6=9x+18
-18-6=9x-6x
-24=3x
-24/3=3x/3
-8=x
The total number of hours worked during d days for persons working seven hours each day. as a expression
Answer: 7d
Step-by-step explanation:
Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B
Answer:
answer is in attachment
If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
How do you solve this and method do you use?
Answer: B. 3x (1 - 3x²)
Step-by-step explanation:
Given
[tex]\frac{9x^4-27x^6}{3x^3}[/tex]
Factorize the numerator
=[tex]\frac{3x^3*3x-3x^3*9x^3}{3x^3}[/tex]
=[tex]\frac{9x^4(3x-9x^3)}{3x^3}[/tex]
Cancel terms in numerator and denominator
=[tex]\frac{3x(1-3x^2)}{1}[/tex]
=[tex]\boxed {3x(1-3x^2)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
I really need some help again
Write an equation for the situation then solve for x. After paying $7 for a sandwich, John has $11. With how much money did he start?
(I know the answer to the question but the steps on how to solve for x confuse me)
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18
Your house is located at point L. Your friend's house is located at point N.
M is the midpoint of IN. How far do you need to travel to walk home from
your friend's house?
3x
2x+ 2
M
N
Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
==============================================================
Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
LM = 3x = 3*2 = 6MN = 2x+2 = 2*2+2 = 4+2 = 6Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.
A football tournament with 12 teams is organised.
Each team will play each other exactly once.
b) Work out the total number of games played
Answer:
66 gamesStep-by-step explanation:
Team 1 will play the rest 11 teams = 11 gamesTeam 2 = 10 gamesTeam 3 = 9 games...Team 11 = 1 gameTotal games:
11 + 10 + 9 + .. + 1 = (1 + 11)*11/2 = 66Pls help me in this my math exam is Tom and I wanna know how to solve theese
Step-by-step explanation:
[tex]thank \: you[/tex]
Drag the black dots to move the
like terms next to each other.
Then simplify the expression.
4x-2y + 7-y +5-3x
Answer:
4x - 3x - 2y -y +7 + 5
Step-by-step explanation:
4x-3x =x
-2y-y = (-3y)
7+5 = 12
x-3y+12
solutions to the quadratic equation x^2+3x-28=0
Answer:
look on the graph
Step-by-step explanation:
the solutions are x = -7 and x=4
Answer:
x = -7 ; x=4
Step-by-step explanation:
The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]
what is the midpoint of (4,5) and (9,17)
Answer:
Step-by-step explanation:
Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)
where (x1, y1) and (x2, y2) are our points
Let (x1, y1) = (4, 5)
and (x2, y2) = (9, 17)
x1 = 4
x2 = 9
y1 = 5
y2 = 17
Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)
what’s the value of n?
Answer:
n=1
Step-by-step explanation:
(√5^5)^5 =5^n
5^1/5×5=5^n
1/5×5=n
5/5=n
n=1
Let A = 0, 1 , B = 2, 3, 4 and C = 3, 5 verity that A x (BUC) = (AXB) U (AXC)
A = {0, 1}
B = {2, 3, 4}
C = {3, 5}
Then we have
A × (B U C)
= {0, 1} × {2, 3, 4, 5}
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and
(A × B) U (A × C)
= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}
(underlined pairs are duplicates and common to both A × B and A × C)
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and these two sets are clearly identical.
case high school sold 120 tickets to the school play and took in $195 from ticket sales. if student tickets were $1 and adult tickets were $2, how many of each kind did they sell?
111011100 (2) write down the value in decimal system ans is 476(100) write the process.....
Answer:
here are the steps
multiply is binary number with its position value with the terms of power to starting from the extreme right digit
increase the power 1 by 1 keeping the base fixed as 2
calculate the sum of all the products to get a decimal number
PS. also see the attachment for better understanding :)
have a great day ahead!
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
what is the odd number?
Step-by-step explanation:
A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
A) Addition
B) Subtraction
C) Multiplication
D) Exponent
3+16 divided by 4
4 x 7 - 2 x 6 divided by 3
5 (power of 2) - 4 x (2 power of 3) -3)
(-3 (power of 4) divided 9 x (4-5 (power of 3) + 8
Answer:
3+16 divided by 4 is 4.75
4×7-2×6..... is5.33
168