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Tasya [4]
2 years ago
6

What are the domain and range of the function mc013-1

Mathematics
1 answer:
lozanna [386]2 years ago
6 0

The domain and range of the function are:

<h3>How to determine the domain of the function?</h3>

In this exercise, you're given the following function f(x) = 5ˣ ⁻ ³ + 1. Next, we would equate the function to zero (0) to determine its domain as follows:

0 = 5ˣ ⁻ ³ + 1.

-1 = 5ˣ ⁻ ³

-(5⁰) = 5ˣ ⁻ ³

-0 = x - 3

x = 3.

Therefore, the domain are all real numbers and they can be substituted for x to return a valid f(x) value.

From the graph of the given function (5ˣ ⁻ ³ + 1), we can logically deduce that the range comprises all real numbers that are greater than 1.

Read more on domain here: brainly.com/question/17003159

#SPJ1

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4 0
3 years ago
If b is the midpoint of AC, which of the following choices is the value of x?
katrin [286]
If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:

8x + 4 = 10x - 6

Solving for x:

4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)

So, x = 5, which is the second option given.
8 0
4 years ago
I need help with this! Quick ASAP?
sp2606 [1]

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the <em>y </em>to the<em> </em>x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.

6 0
3 years ago
The perimeter of a​ standard-sized rectangular rug is 4040 ft. the length is 22 ft longer than the width. find the dimensions.
Nataly_w [17]
L = w+22

2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft

l = w+22 = 999+22 = 1021ft
w = 999 ft
3 0
3 years ago
How do you get the range?​
stira [4]

Answer:

[7, -8)

Step-by-step explanation:

qwerttiwisnxnsnandj ahjsxkkanas gwhdjxx

4 0
3 years ago
Read 2 more answers
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