What is the quotient and remainder, written as partial fractions, of StartFraction 4 x cubed + 11 x squared minus 9 Over x squared + 3 x + 2 EndFraction?
Answers
Answer:
D
Step-by-step explanation:
trust
The quotient and remainder, written as partial fractions will be [tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex].
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The degree of the numerator is the same as the degree of the denominator, this fraction needs to be simplified.
The rational expression is
[tex]\frac{4x^{3} +11x^{2} -9}{x^{2} +3x+2}[/tex]
Now, the denominator needs to be factored in to split up the second part of the simplified expression into two different partial fractions.
x^2 + 3 x + 2
( x + 1) (x + 2)
The general form of partial fractions.
[tex]A + \frac{B}{x +a} + \frac{C}{(x +a)^2}[/tex]
This gives us,
[tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex]
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Related Questions
water is being added to a pool. The height of the water is the pool is 4 feet when the Water is first turned on. After 6 minutes, the height of the water is 7 feet. Which equation describes the height of the water in the pool?
A.) y = 1/2 + 4
B.) y = 7/6 + 4
C.) y= 7/6 - 4
D.) y = 1/2 - 4
Answers
Answer:
A
Step-by-step explanation:
Y'ALL PLEASE HELP 8TH GRADE MATH PLEASEEEEEE
Answers
Answer:
option d (or the last one)
Step-by-step explanation:
-4 - (-1) = -4 + 1
-4 + 1= -3
hope this helpsss :>>
Answer:
D
Step-by-step explanation:
When you minus any negative number from a negative number, it is basically positive and that makes the answer D because it represents those transactions
What is the scale factor of the dilation shown?
need help really will appreciate it.
Answers
Answer:3/4
Step-by-step explanation:
What is the slope of the line passing through the point (2,1) and the origin ?
Answers
Answer:
[tex]m=\frac{1}{2}[/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
Random Point (2, 1)
Origin (0, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{0-1}{0-2}[/tex]Subtract: [tex]m=\frac{-1}{-2}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]4x-8y=-26 9x+4y=13
Stuck on my math homework again
Answers
Answer:
x = 0, y = 13/4
Step-by-step explanation:
I used elimination to solve the system of equations, but it might be easier to use substitution.
Anyway, hope this helps.
a sales person at a jewelry store earns 3% commission each week. Last week, Heidi sold $680 worth of jewelry. How much did she mKe in commission? How much did the jewelry store make from her sales?
Heidi earned $20.4 in commission
The store made __ from her sales
Answers
Answer: $659.60
Step-by-step explanation:
Heidi commission = 3% * 680
= $20.40
The amount the Jewellery store made will be what she sold less the commission owed to her:
= 680 - 20.40
= $659.60
Suppose a city has 200 hotels. If 142 of the hotels have a pool, what
percent of hotels do not have a pool?
A 29%
D
Answers
Answer:
29%
Step-by-step explanation:
200-142=58, 58 is 29% of 200
Which expressions are equivalent to -2(2h+10)+4h−2(2h+10)+4h
A.−20−4h+4h
B.-20
C.none of the above
Answers
Answer:
A and B
Step-by-step explanation:
Khan
And its 100% right promise
Help me I don't know this answer please
Answers
4) Which pair of triangles is congruent by Angle - Angle- Side
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Answer:
2
Step-by-step explanation:
Two angles are congruent, and one side is congruent in the pair of triangles, option 2.
Answer:
2 should be the answer
Step-by-step explanation:
since two angles are equal and one side in equal you can write triangle ABC=TAY by angle angle side axiom
Please help to solve. ASAP
Answers
Answer:
i think it's 46 miles
Step-by-step explanation:
Solve the two-step equation.
-0.45x + 0.33 = -0.66
What is the solution?
x = -2.2
x = -1.4
x = 1.4
x = 2.2
Answers
Answer:
LAST ONE: x=2.2Step-by-step explanation:
-0.45x + 0.33 = -0.66
Hope this helps
Answer:
x = 11/5 or 2.2Step-by-step explanation:
-0.45x + 0.33 = -0.66 subtract 0.33 both sides
-0.45x = -0.66 - 0.33 simplify
-0.45x = -0.99 multiply both sides by 100
-45x = -99 divide -45 both sides
x = -99 / -45 simplify
x = 11/5 or 2.2
PLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZ HELP ASAP 10 POINTSSSSS > < and plz do both if u know them! <3 <3 <3
Answers
Answer:
what do u want me to do
Step-by-step explanation:
What is the length of the hypotenuse in the triangle below?
A right triangle is shown. 2 sides have lengths of 14 centimeter. The length of the hypotenuse is unknown.
Answers
Answer:
your answer will be 14 square root 2cm :)
Step-by-step explanation:
Just got done with the pretest this is correct also known as answer B!
The required length of the hypotenuse is 14√2.
The 2 sides of the right angle triangle are known i.e. 14 centimeters. Length of the hypotenuse to be determined.
The right angle triangle is defined as which contains at least one angle of 90°.
Here, other two side of hypotenuse is 14 centimeter.
Hypotenuse = [tex]\sqrt{14^2+14^2}[/tex]
= [tex]14\sqrt{2}[/tex]
Thus, the required length of the hypotenuse is 14√2.
Learn more about right angle triangle here:
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2x – 3 = 7.
What’s the answer
Answers
Answer: The answer is x=5
Step-by-step explanation: 2x-3=7
+3=+3
2x=10
x=5
A lent B rs 32500 to purchase a car at 12.5% p.A
Answers
Answer:
6,483.75
Step-by-step explanation:
Calculation to find the interest paid by B after 3/2 year
First step is to calculate the Compound interest amountUsing this formula
Interest paid= P(1 + r/100)^Time
Where,
P represent principal=32,500
r represent Rate of interest = 12.5%/2 = 6.25%
T represent Time=3/2 years
Let plug in the formula
Compound interest amount= 32,500(1 + 6.25/100)^2*3/2
Compound interest amount= 32,500([1+.0625)^3
Compound interest amount= 32,500(1.0625)^3
Compound interest amount= 32,500 *1.1995
Compound interest amount= 38,983.75
Now let calculate the Interest paid by B
Interest paid by B = 38,983.75 - 32,500
Interest paid by B = 6,483.75
Therefore the interest paid by B after 3/2 year will be 6,483.75
If m ABC = 122°, and m then m
Answers
Answer:
DBC = 122 - 71 = 51°
Step-by-step explanation:
Answer:
Step-by-step explanation:
122-71 = 51°
K
Writing Quadratics
Write the equation of a quadratic with focus at (4,6) and
directrix at y = 2
You answer should be entered in the format:
y=a(x - h)+k
Answers
need points. X-y=837
Value of the derivative of g(x)=8-10Cosx at 'x=0' is?
Answers
Answer:
g'(0) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationPre-Calculus
Unit CircleCalculus
DerivativesDerivative NotationThe derivative of a constant is equal to 0Derivative Property: [tex]\frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]Trig Derivative: [tex]\frac{d}{dx} [cos(x)] = -sin(x)[/tex]Step-by-step explanation:
Step 1: Define
g(x) = 8 - 10cos(x)
x = 0
Step 2: Differentiate
Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]Simplify Derivative: g'(x) = 10sin(x)Step 3: Evaluate
Substitute in x: g'(0) = 10sin(0)Evaluate Trig: g'(0) = 10(0)Multiply: g'(0) = 0What is the relationship between 21 and 22?
2
1
a
They are Alternate Interior
They are congruent
They are right angles
They are adiacent
Answers
someone please help her or him please
If X=sin 130° + cos 130° then
1)X<0 2)X=0 3)X>0 4)X greater than or equal to 0
Answers
Answer:
hy are u indian ?
------------------------
What answer fills in the blank ?
Answers
how to convert 1.86 m to feet
Answers
Answer:
5.905
Step-by-step explanation:
Formula
For an approximate result, multiply the length value by 3.281
1.8 × 3.281 = 5.905
-TheUnknownScientist
The sum of two numbers is 23. The difference of those two numbers is 13. The larger number is x, and the smaller number is y.
Answers
So x=13 y=10
For each handmade greeting card Jacqui sells, she makes a profit of $0.35. In one week, she made a profit of $42. About how many greeting cards did Jacque sell that week
Answers
Answer: Jacque sold 120 greeting cards in that week.
Step-by-step explanation:
Given : Profit per card = $ 0.35
Total profit = $42
Number of greeting cards Jacque sold = (Total profit) ÷ (Profit per card)
[tex]=\$42\div\$0.35\\\\=\dfrac{4200}{35}\\\\= 120[/tex]
Hence, Jacque sold 120 greeting cards in that week.
A circular wire of length 176 cm is rebound to a rectangle whose length is same as the diameter of the circle. Find the difference in both the areas ?
Answers
Answer:
The difference in area is 672 cm^2
Step-by-step explanation:
Firstly, let us get the diameter of the circle
The length of the wire is the measure of the circle’s circumference
mathematically;
C = pi * d
176 = 22/7 * d
22d = 7 * 176
d = (7 * 176)/22
d = 56 cm
So, the area of the circle will be;
pi * d^2/4
= 22/7 * 56 * 56 * 1/4
= 2464 cm^2
Also, the length of the circumference is same as the perimeter of the rectangle
From the perimeter of the rectangle, we can get the width and use that to calculate the area of the rectangle
The formula for the perimeter of the rectangle is;
2(l + b)
2(56 + b) = 176
56 + b = 88
b = 88-56
b = 32 cm
So, the area of the rectangle will be;
32 * 56 = 1792 cm^2
The difference between the two areas will be;
2464-1792 = 672 cm^2
3 fewer than than a number ,p
Answers
Answer:
p - 3
Step-by-step explanation:
If the number is "p", it would be p - 3
Hope this answered your question! <3
Can u plz help me answer this question plz
Answers
Answer:
12
Step-by-step explanation:
44/3 2/3 (Divide)
12
how can -3/5 + 2/5 be modeled on a number line?
Answers
Answer:
You cab try to divide it evenly as best you can into 5 different sections and then mark them
Step-by-step explanation:
you go in between 1 and -1 and make them go up by fifths to show you work and then just use the numbee line as you know how to
expressed as a single logarithm. you do not need to expand the polynomials
Answers
Answer:
Step-by-step explanation:
ln(x-2)^5
ln(x + 3)^8
ln(x + 3)^3
(x - 2)^5 * (x + 3)^8
================ Cancel the (x + 3)s
(x + 3)^3
(x- 2)^5 * (x + 3)^5
( (x - 2) *(x + 3) )^5
ln( (x - 2)(x + 3)^5 You could expand what's in the brackets.
ln( x^2 - 2x + 3x - 6)^5
ln(x^2 + x - 6)^5
the answer all depends on what you are given. If this answer proves to be wrong, write me a note under comments and I'll alter my answer.