Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
Answer:
X - 2
Step-by-step explanation:
simplify: 5 (6 - ab) + 2 (-7 + 3ab)
Answer:
30-5ab-14+6ab
16-ab ans
Answer:
[tex] \boxed{ab + 16} [/tex]
Step-by-step explanation:
5 (6 – ab) + 2 (-7 + 3ab)
[distribution property]
(6)(5) – (ab)(5) + (-7)(2) + (3ab)(2)
30 – 5ab – 14 + 6ab
[group like terms]
(6ab – 5ab) + (30 – 14)
ab + 16
F(x)= 8/x+2 , g(x)=4x^2+2 what is the answer to (f•g)(-1)
Answer:
The value of (f•g) (-1) is 1
What makes a trapezoid an isosceles trapezoid
Answer:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.
Fill the empty slots by dragging tiles from the left to show the next step for sloving the equation solve the two step equation negative nine and a mumber plus zero point four equals to four
Step-by-step explanation:
gjlhcohuguo
y.krgkyfjfhcxhhhxhhxfucuchhcjvgjjgvjvkvkx
If I needed to write in this format (A U B) how would i write it
Answer:
n(AUB)=n(A)+n(B)–n(AnB)
n(AUB)=n⁰(A)+n⁰(B)+n(AnB)
Step-by-step explanation:
This is the formula i have learned. Hope this will help u. U can use them according the question type.
The cost price of a box and a pen is Rs 120. The box is sold at 10% profita the pen is sold at 10% loss. If the selling price of the box is Rs 52 more than of the pen, calculate the profit or loss percent in the whole.
Answer:
3.803% Profit
Step-by-step explanation:
First let us calculate total sales, then calculate the total cost, and then divide the two.
Sale: 120*1.1=132 and 52*.9=46.8
Cost: 120 and 52
Profit equation:
[tex]\frac{Net sales-COGS}{Net Sales} =Profit[/tex]
[tex]\frac{(132+46.8)-(120+52)}{(132+46.8)}[/tex]
Simplify:
[tex]\frac{6.8}{178.8} =.03803[/tex] or 3.803% Profit
Help please…
If (tan^30-1/tan0-1)-sec^20+1=0, find cot0
Answer:
dl5fgtrrfhrruf ofender fkufgj jjgglr
An American sausage is 4/3 inches long. How many pieces of sausage can be cut from the 4/3 inch piece of sausage if each piece is two-thirds of an inch?
Answer:
2 Pieces can be cut
Step-by-step explanation:
We know that our sausage is 4/3 inches and we want to know how many 2/3 pieces can be cut. we start by examining our fractions.
4/3 & 2/3, since they have the same denominator we can simply divide the total length by how big each cut should be!
4/3 ÷ 2/3 = 2
Complete table of values
Step-by-step explanation:
here's the answer to your question
expand this question (x+5)(x-3)
Can someone help me with this math homework please!
9514 1404 393
Answer:
7/3-3y = 7/3x - 3Step-by-step explanation:
1) The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-3))/(3 -0) = 7/3
__
2) The y-intercept is the point where x=0:
(x, y) = (0, -3) . . . . . y = -3
__
3) Then the slope-intercept equation is ...
y = mx + b . . . . . . . line with slope m and y-intercept b
y = 7/3x -3
what is 3^-8 x 3^-4 x 3^-2
Answer:
Value of given expression is 3⁻¹⁴
Step-by-step explanation:
Given expression:
3⁻⁸ x 3⁻⁴ x 3⁻²
Find:
Value of given expression
Computation:
⇒ 3⁻⁸ x 3⁻⁴ x 3⁻²
⇒ 3[⁻⁸⁻⁴⁻²]
⇒ 3⁻¹⁴
Value of given expression is 3⁻¹⁴
Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0
Answer:
[tex]{ \tt{ {x}^{2} + {y}^{2} - 6x - 2y + 4 = 0 }} [/tex]
Center:
[tex]{ \tt{(3, \: 1)}}[/tex]
Radius:
[tex]{ \tt{radius = \sqrt{ {g}^{2} + {f}^{2} - c } }} \\ = \sqrt{36 + 4 - 4} \\ = 6 \: units[/tex]
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is
replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answer:
25%
Step-by-step explanation:
4+3+5=12
3/12 ×100=25
Write (4√81)^6 in exponential form.
Answer:
Step-by-step explanation:
[tex](4\sqrt{81})^{6} = (4*\sqrt{9*9} )^{6}\\\\=(4*9)^{6}\\\\=(2^{2}*3^{2})^{6}\\\\=[(2*3)^{2}]^{6}\\\\=(6)^{2*6}\\\\=6^{12}[/tex]
Exponent Laws:
[tex](a^{m}*b^{m}) = (a*b)^{m}\\\\(a^{m})^{n}=a^{m*n}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{(4\times\sqrt{81})^6}\\\\\mathsf{\sqrt{81} = \bf 9}\textsf{ because half of \underline{81} is \underline{9} or 9 multiplied by itself gives you 81}\\\\\mathsf{= (4\times9)^6}\\\\\mathsf{4\times9 = \bf 36}\\\\\mathsf{36^6}\\\mathsf{= 36\times36\times36\times36\times36\times36}\\\mathsf{= 1,296\times1,296\times1,296}\\\mathsf{= 1,679,616\times1,296}\\\mathsf{= \bf 2,176,782,336\ also\ known\ as \ 6^{12}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6}^{\bf 12}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
find the range. 130,131,132,134,135136,137,138,139,141,142,143,144,146,148,146,149,158,169
Answer:
The answer is 12
Step-by-step explanation:
The range is the difference between the lowest and highest values. In this case, this means 142 - 130 which equals 12.
Answer:
12
Step-by-step explanation:
Range = Largest number - Smallest number
Larger number = 142 ; Smallest number = 130
142-130 = 12
Range = 12
A cash register at a store contains $277 bills. There are six more $5 bills than $10 bills. The number of $1bills is two more than 24 times the number of $10 bills. How many bills of each kind are there
Answer: See explanation
Step-by-step explanation:
Your question isn't well written, the store contains $227 and not $277.
let c be the number of $1 bills
let f be the number of $5 bills
let t be the number of $10 bills.
Therefore, the equation will be:
1c + 5f + 10t = 227
Since there are six more $5 bills than $10 bills, therefore,
f = t+6
Also, the number of $1 bills is two more than 24 times the number of $10 bills and this will be:
c = 24t + 2
Now, we substitute the equation for f and c into the main equation and this will be:
1c + 5f + 10t = 277
1(24t + 2) + 5(t + 6) + 10t = 227
24t + 2 + 5t + 30 + 10t = 227
39t + 32 = 227
39t = 227 - 32
39t = 195
t = 195/39
t = 5
Therefore, there are 5 $10 bills
Since c = 24t + 2
c = 24(5) + 2
c = 120 + 2
c = 122
Therefore, there are 122 $1 bills
Since f = t+6
f = 5+6
f = 11
Therefore, there are 11 $5 bills.
Relationship between s and b helpppppp pleaseeee anyoneeeee
Answer:
see the table below
Step-by-step explanation:
s b
1 18
3 23
5 27
7 31
if you reflect ABC over the x axis, what will be the location of C’?
Suppose f(x)=x^3 what is the graph of f(x+3)
Answer:
[tex]f(x + 3) = {(x + 3)}^{3} [/tex]
Shifted left with x-intercept at (-3,0) and the y-intercept at (0,27)
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
A. 3x ≥ -6
B. 3x < -6
C. 3x > -6
D. 3x ≤ -6
Line r is parallel to line c.
Answer:
I think ∆5 is the correct Ans
Can you answer this math homework? Please!
Help fast pleaseeeeeeee
Answer:
Domain: { -7, -4, 0, 1 }
Range: { -7, -4, 1, 5 }
Step-by-step explanation:
Note: when writing the domain and range you must write the values in order from least to greatest
another note: Coordinates are written as (x,y)
Domain = set of x values
The x values of the coordinates given in the relation are: 1 , 0 , -4 and -7
Rearrange in order from least to greatest
We get: -7, -4, 0 and 1
The domain would be
{ -7, -4, 0, 1 }
The range is the y values
The y values of the coordinates of the relation are -7, 5,-4 and 1
Rearrange in order from least to greatest
We get -7, -4, 1 and 5
The range would be
{ -7, -4, 1, 5 }
Pedro signed up for a streaming music service that costs $13 per month. The service
allows Pedro to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.75 per song. How much total money would
Pedro have to pay in a month in which he downloaded 45 songs? How much would he
have to pay if he downloaded s songs?
Cost with 45 songs:
Cost with s songs:
Answer:
Cost with 45 songs: $46.75
Cost with s songs: $13 + (s * $0.75)
Step-by-step explanation:
First multiply the number of songs by the cost per song (45 * $0.75 = $33.75), then add the monthly service cost to that number ($13 + $33.75 = $46.75) to get the total monthly cost to Pedro.
What is the perimeter of the rectangular narrow on the aircraft carrier HMS Queen Elizabeth
Answer:
dddjshsbs zhzusushwbsgzyzhsbssbs s hsbd d dhd ssbshebebs shyshs s sbshss s s
Step-by-step explanation:
shshshsnsnsjzj shsjs s sjsn s s snsnsbzbznnz ssjs s snsnsmkzkxnz
a line has slope 3 and y-intercept 4
Answer:
y = 3x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 3x+4
Given m||n, find the value of x.
+
mm
(6x+4)
(4x-14)
Answer:
Submit Answer
attempt out of 2
Answer:
x = 19
Step-by-step explanation:
6x+4 + 4x - 14 = 180
10x - 10 = 180
10 X = 190
x = 19
hi these are geometry questions, :)
========================================================
Explanation:
For any inscribed quadrilateral like this, the opposite angles are always supplementary. This means the angles add to 180
B+D = 180
(2x-1) + (3x-59) = 180
(2x+3x) + (-1-59) = 180
5x-60 = 180
5x = 180+60
5x = 240
x = 240/5
x = 48
Use this x value to find angle A
A = 2x+4
A = 2*48+4
A = 96+4
A = 100
This then means,
A+C = 180
C = 180-A
C = 180-100
C = 80 degrees
Side note: The term "cyclic quadrilateral" is the same as "inscribed quadrilateral".
Question 6 of 10
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cen
(0) - P(144
A $674,43
B. $886,41
C, 5669.11
D. $512,68
9514 1404 393
Answer:
A. $674.43
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^(12t) . . . . . principal P invested at annual rate r for t years
A = $500(1 +0.06/12)^(12·5) = $500(1.005^60)
A ≈ $674.43