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hammer [34]
3 years ago
11

What is the domain of the following exponential function f(x)=(4/5)^x

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:  The domain is the set of real numbers.

the full real number system

Discussion:

f(x) = (4/5)^x is defined for all x as the underlying function  (4/5)^x is defined for all x. Therefore the domain is the set of real numbers.

Thank you,

MrB


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What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Sq
andreev551 [17]

Answer:

Rectangle.

Step-by-step explanation:

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3 years ago
See the attachments below!!!
zavuch27 [327]

Answer:

1) x=0.465

2) option A.

Step-by-step explanation:

1) The given equation is:

{3}^{x + 2}  = 15We rewrite this as logarithm to get:

x + 2 =  log_{3}(15)

The change of base formula is:

log_{b}(y)  =  \frac{ log(y) }{ log(b) }

We apply the change of base formula on the RHS to get:

x + 2 =  \frac{ log(15) }{ log(3) }

x + 2 =  \frac{1.176}{0.477}

x + 2 = 2.465

Group similar terms:

x = 2.465 - 2.000 = 0.465

2)

From the graph, the logarithmic function approaches negative infinity as x approaches -6.

Therefore the vertical asymptote is x=-6

The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.

The correct answer is A.

6 0
3 years ago
Among the following, a perfect number a) 6 b)28 c) 625 d) 100​
Verdich [7]

Answer:

28 and 6

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
A jar contains six red marbles 10 Green marbles and eight blue marbles. A marble was elected at random, The color was recorded,
maksim [4K]
Relative frequency = (number of times an item appears) /(TOTAL numbers)

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6 0
3 years ago
2x - 5y=-15<br> can someone walk me through this?
HACTEHA [7]
The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
   = (2x/5) + (15/5)
   = (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.
3 0
3 years ago
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