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2 years ago

(x + x - 8x? - 13x - 7) = (x + 2)

Mathematics

1 answer:

WINSTONCH [101]2 years ago

7 0

Why is there a question mark?

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Step-by-step to reduce the radical of the square root Of 160

notka56 [123]

Answer:

$4\sqrt{10}$

Step-by-step explanation:

$\sqrt{160}$

$\sqrt{16 * 10}$

$4\sqrt{10}$

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

8 0

2 years ago

Read 2 more answers

Inverse of y equals 12 to the x

e-lub [12.9K]

Answer:

$f^{-1}(x) = log_{12}(y)$

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

$f^{-1}(x) = log_{12}(y)$

5 0

2 years ago

Find h(-5) for the function h(x)= -5x+9. h(-5) =

Helga [31]

Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

7 0

2 years ago

“Solve the equation. Determine if it is undefined or not.”

lozanna [386]

Answer: a) No Solution

b) Infinite Solutions (All Real Numbers)

Step-by-step explanation:

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g distributed 4 into g + 8

32 = 7 subtracted 4g from both sides

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16 = 20h + 16 distributed

16 = 16 subtracted 20h from both sides

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

8 0

2 years ago

Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago