Answer:
(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D
So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D
Put x=1 , we get 3−8+10=D
D=5
Comparing the coefficient of x3 on both sides we get , A=3 .
So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5
Now compare the constant on both sides , 10=−3+B−C+5
=>8=B−C - (1)
Comparing the coefficent of x2 we get −8=−9+B
=>B=1
So , put B=1 in (1) , we get C=−7
Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45
Step-by-step explanation:
hope it helps
What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2
Step-by-step explanation:
the typical line equation :
y = ax + b
with "a" being the slope, and b being the y-intercept (the y value when x = 0).
so, the equation starts
y = 1/2 x + b
to get b we use the given point coordinates :
1 = 1/2 × 4 + b = 2 + b
-1 = b
and the whole equation is
y = 1/2 x - 1
20 POINTS PLS
How to tell if your data has a wide range or a small range?
In a discount basis loan, interest is "pald" at the time the loan is made by deducting the Interest amount from the loan
amount.
“True
False”
Answer:
true
hope that helps
Step-by-step explanation:
Find the area of the figure below. Show all work for each step. Work should inc
radical. Take your time and be thorough. Include units in final answer.
(-5√2+5√5) ft
(3√2 + 4√5) ft
Answer:
[tex]5\sqrt{10} +70[/tex] ft
Step-by-step explanation:
AREA = LENGTH x WIDTH
[tex](-5\sqrt{2}+5\sqrt{5})(3\sqrt{2} +4\sqrt{5} )[/tex]
[tex]-15(2)-20\sqrt{10} +15\sqrt{10} +20(5)[/tex]
[tex]-30-5\sqrt{10} +100[/tex]
[tex]5\sqrt{10} +70[/tex]
Important things to keep in mind:
[tex]\sqrt{2} (\sqrt{2} )=2(2)=4[/tex] Radical goes away (same #)[tex]\sqrt{2} (\sqrt{5})=\sqrt{10}[/tex]Solve the system by graphing.
What is the solution of y=-x+4 and y=3/5x+4
Answer:
x=0 and y=4 thats where the points meet
Step-by-step explanation:
solution of x and y:
both equations equal to y so you can put them together
3/5x+4=-x+4
separate the variables and numbers...
1.6x=0
x=0
y=4
if ur using a graph, use the y intercept (0,4) for your first point
then, using y=-x+4, make -x a fraction -1/1
by using rise/run go down one unit from (0,4) since its negative 1
then one unit to the right from where you are
you should be able to connect the points for the first equation
find the second equation on your own now:)
Tammy took a total of 14 quizzes over the course of 7 weeks. How many weeks of school will Tammy have to attend this quarter before she will have taken a total of 18 quizzes? Solve using unit rates. Answer: weeks.
Answer:
9 weeks
Step-by-step explanation:
So he basically took 14 quizzes in 7 weeks.
14/7 = 2/quizzes per week
18/2 = 9 weeks
I don't know what you mean by unit rates but this is what I got.
Find the area of the figure.
(Sides meet at right angles.)
Answer:
16
Step-by-step explanation:
A of rectangle = L x W
= 3 x 4
= 12
A of square = L x W
= 2 x 2
= 4
The result is 16 squared
What’s 8.4 cm converted to in.
Answer:
3.30709
Step-by-step explanation:
FORMULA :
divide the length value by 2.54
8.4 ÷ 2.54
= 3.30709
16. Lena always keeps her bank account
balance above $50, If she spent $11.60 on
lunch, what was her balance before buying
lunch?
PLEASE HELP
Step-by-step explanation:
so you add the $50 to $11.60 to get your answer
Please help i am begging
x is equal to 3 ..
Step-by-step explanation:
hope this helps
66 is 8-% of what number?
4
the temperature on wednesday was "-17" degrees. From Tuesday to Wednesday it got 24 degrees colder. What was the temperature on Tuesday?
Answer:
-41 degrees
Step-by-step explanation:
Since we're getting colder you would subtract 24 from the current -17 degrees.
-17-24 = -41
If y - 18 = 14, what is the value of 3(y + 5)?
Answer:
y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
....
3 x 37 = 111
What type of association is seen in the scatter plot.
Answer:
Girl how do you not know this is the most easiest thing /hj
Step-by-step explanation:
its a linear and strong association bc the dots are very refined and stuck together very well
Simplify.
Rewrite the expression in the form a”.
(a”)? = 1
Please needhelp urgently
Answer:
just randomly write a¹⁰
how many 10 Kobo stamps can I buy with 40 naira
Answer:
What is a kobo stemp
Step-by-step explanation:
(n-1 +7) simplify plssss helppp
Answer: n+6
-1 + 7 = 6
So therefore, the answer is n+6
Hope this helped
Answer:
[tex]\boxed{\sf{n+6}}[/tex]Step-by-step explanation:
To solve this problem, first, you have to do is isolate it on one side of the equation.
(n-1+7)First, remove parentheses.
→ n-1+7
Add the numbers from left to right.
→ -1+7=6
→ n+6
Therefore, the final answer is n+6.I hope this helps you! Let me know if my answer is wrong or not.
How many symmetrical sides does a star have?
Answer:
Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star
Find N in this equation: N X 4 divided by 2 + 5 - 1 = 20
Hi!
4n/2+5-1=202n+4=202n=20-42n=16n=8I will give Brainliest! :<
This meal costs $75.00.
Fatima used a 20% off coupon and then tax was added.
The total after the coupon and tax was $75.00.
What was the tax rate?
Submit and EXPLAIN, please!
Answer:
25 %
Step-by-step explanation:
75 - 20% = 60
60 + 60 (x) = 75 where x = tax rate
x = .25 or 25 %
$8400 is deposited at an APR of 5%. How much interest has been accrued after 6 years ?
Answer:
$2,856.80
Step-by-step explanation:
The formula for the balance of an account earning interest compounded annually is ...
A = P(1 +r)^t . . . . where P is the principal invested at annual rate r for t years
__
Using the given values, we find the account balance to be ...
A = $8400(1 +0.05)^6 ≈ $11,256.80
The excess over the initial investment is the interest earned:
$11,256.80 -8,400 = $2,856.80
The account has accrued $2,856.80 in interest after 6 years.
_____
Additional comment
If the account earns simple interest, it is computed using ...
I = Prt = $8400(0.05)(6) = $2,520
Determine the correct answer to the following
system of equations:
=
3x – y = 2
-2x + 4y = -8
Answer:
(0,-2)
Step-by-step explanation:
one way to solve...
3x - y = 2 --> *4
-2x + 4y = -8
multiply the first equation by 4
12x - 4y = 8
-2x + 4y = -8
-----------------
10x = 0
x = 0
y = -2
this method is called elimination
another way to solve...
3x - y = 2 simplify for y to get y = 3x - 2
-2x + 4y = -8 substitute y into this equation to solve for x
-2x + 4(3x - 2) = -8
-2x + 12x - 8 = -8
10x = 0
x = 0
y = -2
substitution
alsoo if there are options, just plug in the numbers to the correct variables
Answer:
3xy=2 2x4y=8
3x2=6x8=48x8
pls help fast!!! will give brainliest!!!!!!
Answer:
A. About 47.5π
B. About 149.1
Write an expression for the area of the following regular polygon?
Answer:
126x - 42x²
Step-by-step explanation:
Finding the necessary information
P = Perimeter = 6(6 - 2x) = 36 - 12xa = 7xArea
1/2 x (36 - 12x) x 7x(18 - 6x) x 7x126x - 42x²Which decimal is greater: 4.58 or 4.5?
Answer
Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the number
There you go I hope that helps and have a great day
15√6 cm
12/54 cm
6√24 cm
Answer:
Step-by-step explanation:
15√6
12√54 = 12√(9×6) = 36√6
6√24 = 6√(4×6) = 12√6
15√6 + 36√6 + 12√6 = 63√6
Which is the best example of an out-of-pocket cost?
A. A claim
B. A benefit
C. A deductible
D. A repair estimate
A best example of an out-of-pocket cost is: C. A deductible.
What is an Out-of-Pocket Cost?An out-of-pocket cost can be described as a cost you pay from your own personal reserve, which may include coinsurance, deductibles, copays, and some services covered by an individual's health plan.
Out-of-pocket cost may be reimbursed.
Thus, a best example of an out-of-pocket cost is: C. A deductible.
Learn more about out-of-pocket cost on:
https://brainly.com/question/26217317
Answer: C. A deductible
Step-by-step explanation:
Rylee read 36 pages of a book before putting
it down for a month. She wants to resume
reading the book that is more than 480 pages
long. She plans on finishing the book in
12 days, reading the same amount each day.
5. Which inequality can be used to determine,
p, the number of pages that Rylee must read
P
each day to attain her goal?
A. 12p - 36 < 480
B. 12p + 36 < 480
C. 12p - 36 > 480
D. 12p + 36 > 480
-
Answer:
D. 12p + 36 > 480
Step-by-step explanation:
The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.
__
The inequality expressing a sum greater than 480 is ...
12p +36 > 480 . . . . choice D
Find the product of
21/3 and 3/4.
Step-by-step explanation:
[tex] 2 \frac{1}{3} \times \frac{3}{4} \\
[/tex]2 1/3 = 7/3
[tex] \frac{7}{3} \times \frac{3}{4} \\ [/tex]
21/12 = 7/4
Help Asap
One tube of paint covers 1,400 square inches of ramp. Based on this, how many tubes of paint will be needed to paint the ramp
My answer from the answer above is 3,672 sq in.
Answer:
3
Step-by-step explanation:
The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.
Let t represent the number of tubes.
1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²
t > 2.623 . . . . . divide by 1400
If only whole numbers of tubes are available, then ...
3 tubes are needed to paint the ramp.
Answer:
Step-by-step explanation:
The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.
Let t represent the number of tubes.
1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²
t > 2.623 . . . . . divide by 1400
If only whole numbers of tubes a
