Answer:
3x
Step-by-step explanation:
The answer is 3 times x.
Because we do not know how much days you are running for, replace the it with x.
x = the number of days you have ran.
Hopes this helps you.
Answer:
The function is
g(x) = 5^(-x)
This question can be easily solved by using a graphing calculator
and plotting the graph of g(x)
In the image below, we can see that for each value of x , there is a corresponding value for g(x)
This means that the function does not have any discontinuities. Therefore,
The domain of g(x) is all real numbers (x ∈ R)
The range is related to the values that can be achieved by g(x),
Since it is a positive exponential function, all values will be g(x)>0
And the range would be (0,∞)
Answer:
Step-by-step explanation:
The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:
L = "length is"
2W is "twice the width"
5 inches shorter is " - 5". Putting it all together:
L = 2W - 5. Now we can fill in the perimeter formula:
68 = 2W + 2(2W - 5) and
68 = 2W + 4W - 10 and
68 = 6W - 10 and
78 = 6W so
W = 13. The width is 13 inches and the length is
L = 2(13) - 5 so the length is
L = 21 inches.
When you draw this out, what you have is a right triangle problem. The height of the rope from the ground is 12 (a side), the distance she is from the base of the tree is 5 (a side), and the length of the rope is the hypotenuse. Use Pythagorean's Theorem to find the length of the hypotenuse: 5^2+12^2 = c^2 or
25+144 = c^2 and c^2 = 169, which makes the length of the rope come out to be 13 feet long.
