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,-3,4Solve the equation for the specified variable.
Y = AD-5, for A
Help plzzzzz
Answer:
A = (Y + 5)/ D
Step-by-step explanation:
Y = AD - 5
Y + 5 = AD - 5 + 5
Y + 5 = AD
(Y + 5)/D = AD/D
(Y + 5)/ D = A
》A = (Y + 5)/ D
simplify
[tex] \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
please show all work!
Answer:
[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]
Step-by-step explanation:
we would like to simplify the following expression:
[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
recall distribution property thus:
[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]
remember that,
[tex] \displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]so assign variables:
[tex]a \implies 3n[/tex][tex]b \implies 15[/tex]simplify Multiplication:
[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]
rewrite 45 as 9×5:
[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]
utilize the formula:
[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]
simplify square:
[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]
and we're done!
[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]
[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]
Solution[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]
[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]
Or we can break 15n
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]
What is this expression in simplified form?
3/3 x 6/6
Answer:
18/18 = 1
Step-by-step explanation:
Need help ASAP pls thx
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+28+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{70}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{2}{5}[/tex]
Answer:
28/60
7/15.
7/15R.f(green)
Hope it helps
If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.
Answer:
56
Step-by-step explanation:
The numerical length of QS is 128.
We have a Line Segment QT and a point R lies on the midpoint of QS.
We have to determine length of QS.
What is Mid - Point of a line?The mid - point of a line is a point that divides it into two parts of equal lengths.
According to question, we have -
RS = 2x - 4
ST = 4x – 1
RT = 8x – 43
Since, R is the midpoint of QS -
QR = RS = 2x - 4
QS = QR + RS = 2 x QR = 2(2x - 4)
Now -
ST = RT - RS
ST = 8x - 43 - 2x + 4
ST = 6x - 39
and
ST = 4x - 1 [Given]
Therefore -
6x - 39 = 4x - 1
6x - 4x = - 1 + 39
2x = 38
x = 19
Now -
QS = QR + RS = 2RS
QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128
Therefore - QS = 128
Hence, the numerical length of QS is 128.
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ6
Cho hình chóp có cạnh đáy là hình vuông cạnh bằng . Tam giác cân tại và mặt bên vuông góc với đáy, biết . Tính thể tích của khối chóp .
Answer:
Madarchod Benchod You Idiota You French
7) 17 is this number a integer, whole number, or rational number.
Answer:
Integer, whole number, and a rational number
a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it
1 meter = 100 cm
4 meters x 100 = 400 cm
Divide total cm by cm per piece:
400/5 = 80
80 pieces.
Perform each operation. Express your answers the the correct number of significant figures
a.61.2 meters + 9.35 meters +8.6 meters
b.9.44 meters - 2.11 meters
c.1.36 meters + 10.17 meters
d.34.61 meters - 17.3 meters
Step-by-step explanation:
no calculator available ?
this is pure number typing. no problem to be solved, no trick or hidden meaning to be considered, nothing.
at least the way you were typing the "problem" definition. as there are clearly some issues with the phrasing, maybe something was missed.
but here it goes :
61.2 + 9.35 + 8.6 = 79.15 meters
9.44 - 2.11 = 7.33 meters
1.36 + 10.17 = 11.53 meters
34.61 - 17.3 = 17.31 meters
The solution to the operations are:
a 79.15 meters
b. 7.33 meters
c.11.53 meters
d. 17.31 meters
This '+' is the addition sign. For numbers that have this sign, add the numbers together. This '-' is the subtraction sign. For numbers that have this sign, subtract the numbers from each number.
In order to round off to two significant numbers, the numbers after the decimals should be two non-zero digits.
a 61.2 meters + 9.35 meters +8.6 meters = 79.15 meters
b. 9.44 meters - 2.11 meters = 7.33 meters
c. 1.36 meters + 10.17 meters = 11.53 meters
d. 34.61 meters - 17.3 meters = 17.31 meters
To learn more about addition, please check: https://brainly.com/question/17861269?referrer=searchResults
Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
in a scientific notation, M •10^n must be greater than or equal to 1 and less than
In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.
A student’s incorrect attempt to simplify an exponential expression is show in the box
What is his mistake!!!!!
Answer:
A
Step-by-step explanation:
x^a/x^b=x^(a-b). General rule of exponents
can you figure out what 2x° equals and (90-x)°
I HOPE IT WILL HELP YOU.
Have a great day ahead.
find the sum of first 50 terms in the sequence 10n-15.
Answer:
485 bro just do it with calculator
Step-by-step explanation:
10×n-15
10×50-15
485
Answer:
12,000.
Step-by-step explanation:
First term = 10(1) - 15 = -5
50th term = 10(50) - 15 = 485
Sum of 50 terms = (50/2)(-5 + 485)
= 25 * 480
= 12,000
Find the unit rate $30 for 2 1/2 hour of work.
Answer:
$12/ 1 hour of work
Step-by-step explanation:
30 : 2/12
Divide both sides by 2 1/2
12 : 1
Step by step please (variable expression)
Answer:
139
Step-by-step explanation:
Substitute x for 15.
9(15)+4
Then multiply:
135+4
And then add:
139
Oceanside bike rental shop charges 14 dollars plus 7 dollars an hour for renting a bike. Sara paid 77 dollars to rent a bike. How many hours did she pay to have the bike checked out
Answer:
she paid for 77 hours
Step-by-step explanation:
First add 14+7 which equals 21 then keep adding 7 which is the total charge each our until you reach 77.
Which of the following is the inverse of f (x) = 3 - 14x
Math help pls
giving brainly
Answer:
CStep-by-step explanation:
This is because,
As,
Negative integers are -1, -2, -3, -4, -5 .......
Also,
0 is neither negative integer nor positive integer,
And,
Positive integers are 1, 2, 3, 4, 5 .........
Therefore here ,
We get two sets of NON - POSITIVE INTEGERS,
That is 0 ( neither negative nor positive) and -1, -2, -3, -4, -5 ........ (Negative integers)
So,
Set of ( .......... -5, -4, -3, -2, -1, 0 ) is non - positive integers.
Answer:
C
Step-by-step explanation:
We are given 5 negative values plus 0. Keep in mind that 0 is not positive or negative. A non-positive integer is any negative number plus zero which the set follows. C is the only logical answer. A is incorrect because a negative number cannot be a whole number. B is incorrect because while we have negative values, we also have 0 and as stated previously, its not a negative or positive value. D is also incorrect because a non-negative integer is any positive value and zero but again, we don't have any positive values.
Best of Luck!
Tickets to a game cost 40$ each. Renting a bus costs $500. Write an algae rack expression for the total cost of renting a bus and buying (t) tickets.
Answer:
Total Cost = $500 + $40t
Step-by-step explanation:
Bus = 500
Tickets = t
1 ticket = 40
Expression =
500 + 40t
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Hi ;-)
[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]
c=2, f(x)= {3-x, x<2
2, x=2
x/2, x>2
Answer:
ball$
Step-by-step explanation:
<3
pin this .. please!! answer my question i will make you brainlist
Answer:
Rs 525.5518.5%Step-by-step explanation:
Given:
Rate of interest is rTime = 2 yearsSum = PP(c) = 738P(s) = 720Use formulas:
P(c) = P*(1 + r)²P(s) = P*(1 + r*2)Substitute the known values:
P(1 + r)² = 738 ⇒ P = 738/(1 + r)²P(1 + 2r) = 720 ⇒ P = 720/(1 + 2r)Eliminate P and solve for r:
738/(1 + r)² = 720/(1 + 2r)738(1 + 2r) = 720(1 + r)²Solving the quadratic equation we get:
r ≈ 0.185 (or 18.5%)Now find P:
P = 720/(1 + 0.185*2) ≈ 525.55Solve the equation show your steps check your solution (there is no division symbol). C divided by (-9)=2
Answer:
Step-by-step explanation:
[tex]\dfrac{C}{-9}=2\\\\\\[/tex]
Multiply both sides by (-9)
[tex]\dfrac{C}{-9}*(-9)=2*(-9)\\\\\\C=(-18)[/tex]
Answer:
C=-18.
Step-by-step explanation:
Setting up the problem,
C/-9=2
Multiplying both sides by -9, to get rid of the fraction,
C/-9x(-9)=2x(-9)
So, therefore, the final answer is C=-18.
I hope this has helped you. Enjoy your day, and take care.
PLEASE help!10 points
Answer:
-24
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
Solve the blank boxes on the graph and answer the question in red
Answer:
I can’t see the red question.
Step-by-step explanation:
An interger p is two-third of another and their difference is 10.find the two interferes
Answer:
30 , 20
Step-by-step explanation:
Let the other number = x
[tex]p = \dfrac{2}{3}x\\[/tex]
x - p = 10
Plugin p = (2/3)x in this equation,
[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]
Multiply both side by 3
x = 10*3
x = 30
[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]
p = 20
Answer:
30 and 20
Step-by-step explanation:
We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so
p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )
3p - 2p = 30 , that is
p = 30
and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20
The 2 integers are 30 and 20
is the third root of 1/8 rational or not rational?
9514 1404 393
Answer:
rational
Step-by-step explanation:
[tex]\sqrt[3]{\dfrac{1}{8}}=\dfrac{1}{\sqrt[3]{2^3}}=\dfrac{1}{2}\qquad\text{a rational number}[/tex]
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 = 66Classify each number below as a rational number or irrational number
Answer:
[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]
because -√49 = -7
[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]