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3 years ago

What is the domain of the exponential function shown below?

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

n nn n n

Step-by-step explanation:

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How much is 2/3 - 1/6 =

Usimov [2.4K]

Answer:

1/2

Step-by-step explanation:

First create like dominators

2/3 -1/6 = 4/6 - 1/6

simplify using subtraction

4/6 - 1/6 = 3/6

Simplify the answer

3/6 = 1/2

6 0

3 years ago

Read 2 more answers

100 point reward with certified answer. 4 basic algebra questions, must show work. If the answers are wrong your response will b

ipn [44]

Y=kx
12=-4k
k = -3

so when y = 15
y = kx
15 = -3x
x = -5

----------------

$50 / 0.04 = $1250 (4% interest)

so
1250 * 0.06 = $75

answer
interest $75 at 6%

-----------------------------

y = kx
1/4 = 4k
k = 1/16

when x = 5
y = kx
y = 1/16(5)
y = 5/16

-----------
y = kx
-5 = 4k
k = -5/4

direct equation
y = -5/4x

6 0

3 years ago

Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?

9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

$f(x)=\frac{(x-1)(x^2-4)}{x^2-a}$

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that $x=\sqrt{a}$ will annulate the denominator, i.e

$(\sqrt{a})^2-a = a-a = 0$ . But, if a = 1 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}$

so, the value $x=\sqrt{a} = \sqrt{1} = 1$ won't annulate the denominator.

Now, for a = 4 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1$

so, the value $x=\sqrt{a} = \sqrt{4} = 2$ won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0

3 years ago

NEED SOMEONE TO CHECK AND TELL ME C

erik [133]

Part A:
f(x)=30(1.2)^x
f(x)=45+3x

Part B: Neighborhood A is 74.6496, so that rounds to 75 homes, and Neighborhood C is exactly 60 homes

Part C:
i would graph them in a graphing calculator, and use the functions to see where the 2 lines intersect.

The x value for when they intersect (# of years) is 3.3207883, so approx. 3.3 years for them to be equal

6 0

3 years ago

One condition for performing a hypothesis test is that the observations are independent. Marta is going to take a sample from a

AleksandrR [38]

Answer:

The correct answer to the following question will be "60 students".

Step-by-step explanation:

Marta will be taking a sampling frame from some kind of 600 student group.

Mean,

N = 60

Although the sampling method could perhaps consist of the following components 10% of the population,

⇒ $600\times 10 \ percent$

⇒ $60$

In order to view these findings as autonomous, 60 students would then have to analyze Marta lacking replacements.

6 0

3 years ago