1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mihalych1998 [28]
2 years ago
6

What values of a and b make the equation true?

Mathematics
1 answer:
iogann1982 [59]2 years ago
4 0

Answer:

O a = 3, b = 4

Step-by-step explanation:

plug the values in the equation

please mark brainliest

You might be interested in
This is the other post, ill give brainlist to the best answer.<br>​
snow_tiger [21]

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

6 0
3 years ago
Please, I need help in this ??
nignag [31]

Answer:

\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c

Step-by-step explanation:

\int\frac{x^{4}}{x^{4} -1}dx

Adding and Subtracting 1 to the Numerator

\int\frac{x^{4} - 1 + 1}{x^{4} -1}dx

Dividing Numerator seperately by x^{4} - 1

\int 1 + \frac{1}{x^{4}-1 }\, dx

Here integral of 1 is x +c1 (where c1 is constant of integration

x + c1 + \int\frac{1}{(x-1)(x+1)(x^{2}+1)}\, dx----------------------------------(1)

We apply method of partial fractions to perform the integral

\frac{1}{(x-1)(x+1)(x^{2}+1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{x^{2} + 1}------------------------------------------(2)

\frac{1}{(x-1)(x+1)(x^{2}+1)} = \frac{A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)}{(x-1)(x+1)(x^{2} +1)}

1 = A(x+1)(x^{2} +1) + B(x-1)(x^{2} +1) + C(x-1)(x+1)-------------------------(3)

Substitute x= 1 , -1 , i in equation (3)

1 = A(1+1)(1+1)

A = \frac{1}{4}

1 = B(-1-1)(1+1)

B = -\frac{1}{4}

1 = C(i-1)(i+1)

C = -\frac{1}{2}

Substituting A, B, C in equation (2)

\int\frac{x^{4}}{x^{4} -1}dx = \int\frac{1}{4(x-1)} - \frac{1}{4(x+1)} -\frac{1}{2(x^{2}+1) }

On integration

Here \int \frac{1}{x}dx = lnx and \int\frac{1}{x^{2}+1 } dx = arctanx

\int\frac{x^{4}}{x^{4} -1}dx = \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1) - \frac{1}{2} arctanx + c2---------------------------------------(4)

Substitute equation (4) back in equation (1) we get

x + c1 + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1) - \frac{1}{2} arctanx + c2

Here c1 + c2 can be added to another and written as c

Therefore,

\int\frac{x^{4}}{x^{4} -1}dx = x + \frac{1}{4} ln(x-1) - \frac{1}{4} ln(x+1)-\frac{1}{2} arctanx + c

4 0
3 years ago
You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon
sergejj [24]

Answer:

  $13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

  FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

  FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

  FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

  $1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  = $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0
3 years ago
Find x: 2(4x − 3) − 8 = 4 + 2x
MariettaO [177]
X = 3

2(4x - 3) - 8 = 4 + 2x

1. Distribute

8x - 6 - 8 = 4 + 2x

2. Collect like terms

8x - 14 = 4 + 2x

3. Collect like terms again (add 14 and subtract 2x)

6x = 18

4. Divide by 6

x = 3
4 0
3 years ago
Read 2 more answers
If a line is equation 5 x + 6 Y is equal to 2 k together with the coronavirus access from a triangle of area 135 square unit.fin
Marina CMI [18]

Answer:

hdhdkdbddkdgsjshzcssjsn

4 0
2 years ago
Other questions:
  • Holly's fitness tracker shows how many
    8·1 answer
  • Write a linear Write a linear function f with f(−9)=10 and f(−1)=−2.function f with f(−9)=10 and f(−1)=−2.
    9·1 answer
  • Find the midpoint of AB given A(-1, 4) and B(7, 6).
    5·1 answer
  • $249 rounded to the nearest dollar ​
    8·1 answer
  • The cost of sending a package by an express delivery service is $15.00 for the first two pounds and $5 for each pound or fractio
    8·1 answer
  • Help with 8, 9 and 10 plz :’)
    7·2 answers
  • A ladder is placed against a wall, such that it touches the top of the wall 6 meters above the ground. The ladder is inclined at
    13·1 answer
  • True or false? The point (−5, 0) lies on the y-axis.
    11·1 answer
  • A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 420 kilometers in 3 hours. Answer part
    7·1 answer
  • Write the equation x^2 - 10x + 17 = 0 in the form (x+p)^2 = q (50 points!)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!