All categories

4 years ago

Which of the following statements are true?

Mathematics

2 answers:

astraxan [27]4 years ago

8 0

C I think the answer is

cestrela7 [59]4 years ago

4 0

Answer:

Option: D Both graphs have exactly one asymptote.

Step-by-step explanation:

Clearly by looking at the graph of the two functions i.e. f(x) and g(x) we could observe that the graph of function f(x) is similar to the graph of the exponential function and the graph of the function g(x) is similar to the graph of the logarithmic function.

Hence, Option: B and option: C are discarded.

Also we could observe that the graph of the function f(x) with respect to the parent function $e^x$ is shifted by some units above but not flipped.
The graph of the function g(x) with respect to the parent function log (x) is both shifted as well as flipped.

Hence, option: A is discarded.

Also, we know that both the exponential function and the logarithmic function have exactly one asymptote.

Hence, option: D is the correct answer.

You might be interested in

Please help!posted picture of question

olchik [2.2K]

Answer:
$\frac{x^2 - 5}{4x + 1}$ , x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
$( \frac{g}{f} )(x) = \frac{g(x)}{f(x)} = \frac{x^2 - 5}{4x + 1}$

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)

8 0

3 years ago

Determine the amount of money you would have if you invested $15,000 dollars for 11 years at 3% annual interest compounded conti

tamaranim1 [39]

Answer:

The amount after 3 years of investment is $20763 .

Step-by-step explanation:

Given as :

The principal invested = p =$15,000

The rate of interest = r = 3% compounded annually

The time period = t = 11 years

Let The Amount after 3 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $15,000 × $(1+\dfrac{\textrm 3}{100})^{\textrm 11}$

Or, A = $15,000 × $(1.03)^{11}$

Or, A = $15,000 × 1.3842

Or, A = $20763

So, Amount = A = $20763

Hence The amount after 3 years of investment is $20763 . Answer

8 0

3 years ago

Plz help me<br> 20 points

wel

Answer:

Step-by-step explanation:

Hope this helps! Pls give brainliest!

7 0

2 years ago

Read 2 more answers

Find the volume of the figure below.

kiruha [24]

Hello!

To find the volume of a cylinder, use the formula: V = πr²h.

In the formula, r is the radius, and h is height of the figure.

In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.

V = π(5)²(8)

V = π(25)(8)

V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)

Therefore, the volume of this cylinder is 628.32 feet cubed.

8 0

3 years ago

Find the value of X.

andriy [413]

Answer:

x=3

Step-by-step explanation:

All the angles added together must equal 360 degrees.

74+43+50+37+12x+12x+11x+17x = 360

Simplify the equation by adding like numbers.

204+52x=360

Subtract 204 from both sides of the equation.

204+52x-204=360-204

52x=156

Now, divide both sides by 52.

52x/52=156/52

x=3

6 0

3 years ago