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3 years ago

What is the domain of the function Y = In

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

Answer:

Option B. x > -2 is correct

Step-by-step explanation:Domain of the function : It is defined as the set of all values of x for which the function is defined.

Now, the given function is : y = ln(x + 2).

So, to find the domain of the given function y we will find all the possible values of x such that the given function y is defined

As the ln function is not defined for any negative real number.

⇒ x + 2 > 0

⇒ x > -2

So, the domain of the given function y = ln(x + 2) is all the real number x such that x > -2

Hence, Option B. x > -2 is correct

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A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.

Molodets [167]

A^2 + b^2 = c^2
C should equal to the longer side, which would be 19. 
Plug in other two numbers for A and B. 
12^2 + 14^2 = 19^2 
Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle. 
144 + 196 = 361 
340 = 361 
It's not a right triangle.

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3 years ago

A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream the speed of the boat in Stillwater is 15 m

Dafna1 [17]

Answer:

5 mph

Step-by-step explanation:

c+15+c=2c+15 mph going down stream.

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3 years ago

NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest

Olegator [25]

Answer: This is kinda confusing but I would say no

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3 years ago

Read 2 more answers

The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the

stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

$f'(t)=2000-12t^{2}$

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (t = 0) to 2000 (t = 10) as follows:

$\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000$

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

$=40000+16000\\=56000$

Thus, the worth of the company in 2000 is $56,000.

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3 years ago

Solve for c. Give an exact answer. 0.2(10−5c)=5c−16

Zielflug [23.3K]

C = 3
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3 years ago