Answer:
StartFraction 15 x cubed + 25 x squared + 5 x + 2 Over (5 x squared + 1) squared EndFraction, can be written in mathematical form as
Let y = [tex]\frac{15 x^3 + 25x^2 +5x+2}{({5x^2+1})^2}[/tex]
on expanding [tex]{({5x^2+1})^2 = 25x^4 +1 + 10x^2[/tex]
⇒ y = [tex]\frac{15 x^3 + 25x^2 +5x+2}{25x^4 +1 + 10x^2}[/tex]
there correct form of partial fraction is [tex]\frac{15 x^3 + 25x^2 +5x+2}{25x^4 +1 + 10x^2}[/tex]
Answer:
Option-B
Step-by-step explanation:
edge
what is the slope of the line that passes through the point (-1,-10) and (-1,-2). answer needs to be in simplest form
Answer: m = undefined
Step-by-step explanation:
-2-(-10) = 8
-1-(-1) = 0
m = 8/0
Which is an undefined slope
Answer:
The slope is undefined
Step-by-step explanation:
Plug in the points to the formula for slope (Formula Found Below). You would get (-2 + 10)/(-1 + 1), which simplifies to 8/0. Anything divided by 0 is undefined, which means that the slope is undefined.
Furthermore, you could also tell this simply by the points given. If two points on a line have the same x - coordinate, it means that the slope is undefined and that the line formed by the points isn't a function.
Formula for Slope:
[tex]\frac{y1 - y2}{x1 - x2}[/tex]
Usable with 2 points of the line given ((x1, y1) and (x2, y2))
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3 years.
What is the smallest amount, to the nearest pound, she can invest?
Answer: £6910.7
Step-by-step explanation:
Given
Rate [tex]R=5\ \%[/tex]
Amount [tex]A=[/tex]£[tex]8000[/tex]
Time [tex]T=3\ years[/tex]
In compound interest, the Amount is given by
[tex]A=P[1+\frac{R}{100}]^T[/tex]
[tex]8000=P[1+\frac{5}{100}]^3[/tex]
[tex]P=\dfrac{8000}{1.1576}[/tex]
[tex]P=[/tex]£[tex]6910.7[/tex]
In a parallelogram ABCD with diagonal AC, a student has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle BAC is congruent to DCA.
Which of the following can be used to prove the triangles congruent by ASA? (4 points)
TB ≅ TD
DB ≅ DB
AC ≅ DB
AC ≅ AC
Answer:
AC ≅ AC
Step-by-step explanation:
A S A ---> Angle Side Angle
∠DAC ≅∠ BCA {Alternate interior angle}
AC ≅ AC {Reflexive property}
∠DCA ≅∠BAC {Alternate interior angle}
Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.
Answer:
Step-by-step explanation:
Hhahahahahahahahhahahahahahaha
Keiko drank 18 fluid ounces of juice. How much is this in cups?
Answer:
2 1/4
Step-by-step explanation:
18 fl oz= 2 1/4 or 2.25 cups
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
DJ = 48
Step-by-step explanation:
In triangle CDE, point J is the centroid.
Length of median DH = 72
By the property of the centroid of a triangle,
"Centroid of a triangle divides the medians in the ratio of 2 : 1"
By this property, length of DJ = [tex]\frac{2}{(2+1)}(DH)[/tex]
= [tex]\frac{2}{3}(72)[/tex]
= 48 units
Therefore, length of DJ = 48 units
Express "17 billion" in scientific
notation.
Answer:
The scientific notation is [tex]1.7\times 10^{10}[/tex].
Step-by-step explanation:
Consider the provided information.
We need to express 17 billion in scientific notation.
17 billion is: 17,000,000,000
We split the given number into a coefficient and a power of 10.
Move the decimal point of the given number till the coefficient of the given number is greater than 1 and less than 10 and write the power of 10 equal to the number of steps the decimal point was moved.
17 billion in scientific notation = [tex]1.7\times 10^{10}[/tex].
Hence, the required answer is [tex]1.7\times 10^{10}[/tex].
Describe how you could use algebraic operations to solve the equation 1 = -3x + 4
Answer:
x=1
Step-by-step explanation:
3x=4-1
3x=3
x=1
In the diagram, the length of segment QV is 15 units.
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?
Answer:
TQ=14
Step-by-step explanation:
Given:
QV=15
Since the figure is a kite because SR=QR and TV is perpendicular to SQ:
SV=QV and ST=TQ
so:
4x-1=15
x=4
ST=3x+2=14
TQ=14
Sorry if you can’t read it but u wasn’t paying attention in online class and I missed this out and soz if it’s blurry! 95 point in return
Answer:
the answer is at the bottom
Step-by-step explanation:
please mark me as brainliest<3
answer is attatched
write the equation of the line shown in the graph in slope intercept form
Answer:
y= 4x +3
Step-by-step explanation:
slope= rise over run
y-intercept = where the line hits the y axis
Peggy was taking a timed 50-question test. She was able to correctly answer 60% of the questions but had to skip the rest. How many questions did Peggy answer correctly?
Answer:
30 questions
Step-by-step explanation:
60% or 0.60 x 50 questions = 30
What is the interquartile range of the date shown in the box plot
Answer: 14
Step-by-step explanation: To find the Interquartile Range (IQR) you need to subtract points Q1 from Q3. The ends of the box are the Q1 and Q3 points.
Q3 = 80
Q1 = 66
80-66= 14
10 less than a number squared is 71
find the amplitude.
f(x)=2.3cos(4x)
Answer:
As cosine returns a value between -1 and 1, the amplitude will simply be the coefficient of the cosine function. In this case it's 2.3, which tells us that the amplitude is also 2.3
✨Help please it’s emergency I will mark you as brainlist ✨
Answer:
I believe the answer is A
Step-by-step explanation:
Can someone help me out with this
Answer:
b 6"
Step-by-step explanation:
because l is 3" and H" is the same so it is b
Make an equation for the area of each rectangle.Solve it to find the value of x. Area=70cm^2 l=(2x+8)cm b=5cm
Answer:
I gc bj jiu I'll vuhv jo b DDT UK k
f(x) = x² +1
g(x) = 3x + 1
Find (f ºg)(x)
Someone please help!!!!
Answer:
f*g(x) = (x²+1) (3x+1) = 3x³+x²+3x+1
Step-by-step explanation:
f*g(x) = f(x) * g(x)
f*g(x) = (x²+1) (3x+1) = 3x³+x²+3x+1
The book shelf was bought at a wholesale price of \$147.00$147.00dollar sign, 147, point, 00, and Gabriela's Furniture Store marks up all furniture by 60\%60%60, percent. At what price should the manager sell the book shelf?
Answer:
$235.20
Step-by-step explanation:
Calculation for At what price should the manager sell the book shelf
First step is to calculate the price increase using this formula
Price increase=Marks up percentage*Wholesale price
Let plug in the formula
Price increase=60%*$147.00
Price increase=$88.20
Now let calculate the price that the manager should sell the book shelf using this formula
Book shelf Price=Wholesale price+Price increase
Let plug in the formula
Book shelf Price=$147.00+$88.20
Book shelf Price=$235.20
Therefore the price that the manager should sell the book shelf is $235.20
Evaluate the following expression.
Answer:
3
Step-by-step explanation:
2 + (9/ 3) ^ 2 / 9
2 + 3^2/9
2 + 3*3 / 9
2 + 9/9
2 + 1
3
Hope this helped!
Answer:
11
Step-by-step explanation:
Following the order as set out in PEMDAS ( parenthesis, exponents, multiplication, division, addition, subtraction )
evaluating parenthesis gives
2 + [tex]3^{4}[/tex] ÷ 9 ← evaluate exponent
= 2 + 81 ÷ 9 ← evaluate division
= 2 + 9 ← evaluate addition
= 11
Write an equation in slope-intercept form thats perpendicular to the given line and goes thru the point.
1. y=-3x + 4 (6,-2)
2. -2x -8y = 16 (4,5)
3.. x+y= 2 (8,5)
(PLS HELP ME I NEED THE ANSWER RIGHT NOW ITS URGENT)
Answer:
steps below
Step-by-step explanation:
1. y=-3x + 4 (6,-2)
y' slope: 1/3 (perpendicular)
y' = mx + b
b = y' - mx = -2 - (1/3) x 6 = -4
equation: y' = 1/3 x - 4
2. -2x -8y = 16 (4,5)
8y = -2x - 16 y = -1/4 x - 2
perpendicular line slope: 4
b = y - mx = 5 - 4 x 4 = - 11
equation: y = 4x - 11
3. x+y= 2 (8,5)
y = -x + 2 slope: -1
perpendicular slope: 1
b = y - mx = 5 - 1 x 8 = -3
equation: y = x -3
PLS PLS HELP ME I WILL MARK BRAINLIEST
Answer:
A, 4 + 12i
Step-by-step explanation:
Please help me guys ill mark you as a brilliant
Answer:
so the answer is ,,5". hope this helped! Have a nice day.
Step-by-step explanation:
45:9=5
Help me with this pls
Answer:
Is there any more information about the question?
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!!!!!
A sandcastle can be modeled with four 6-inch-tall square prisms, one on top of the other, as shown in the figure below.
The base of the bottom prism has a side length of 30 inches, and the base of each of the other three prisms has a side length 7 inches less than the side length of the base of the prism below it. What is the volume of the sand castle?
Answer:
A 2808
Step-by-step explanation:
From top to bottom
The top one is 9
Second layer is 16
Third is 23
Bottom is 30
I did 9 x 6, 16 x 6, 23 x 6, 30 x 6 = 54, 96, 138, 180
Added all of them up and got 468 then I times it by 6 and got 2808
Heyo! ;D
The volume of the sandcastle above is 10,596 cubic inches.
Hope this helped! If so, please lmk! Tysm and good luck!
What is the slope of the line?
Answer:
zero slope
Step-by-step explanation:
Mr. Brown made 5 trips to the sushi bar. On his first trip, he got 14 pieces of sushi. On his second trip, he got 12 pieces of sushi. On his third trip, he got 22 pieces of sushi. On his fourth trip he got 8 pieces of sushi. On his final trip, he got 24 pieces of sushi. What was the average (use the mean) number of pieces of sushi he got on each trip to the sushi bar?
Answer: 16 pieces.
Step-by-step explanation:
Suppose that we have a set with N numbers
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is calculated as:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
In this case, our set is:
{14, 12, 22, 8, 24}
So we have N = 5.
The mean of this set will be:
M = (14 + 12 + 22 + 8 + 24)/5 = 16
The average/mean number of pieces of sushi he got on each trip is 16 pieces.
50 POINTS!!!!
Some girl that I know really likes this guy and he told her he likes her and she wants to ask him out but she is afraid what should she do
Answer:
I would say ask him out, if not she'll continue to wonder if he was ever going to be a great relationship or just a short relationship. it's also a good way to experience dating!
Step-by-step explanation:
hope this HELPS her out!
✧◝(⁰▿⁰)◜✧
B
D
A
C
side AC is extended to point D with m
Answer:
im so confused
Step-by-step explanation: