Answer:
1^x = 1
Step-by-step explanation:
If b = 1,
It will be a horizontal line:
y = a
Not an exponential curve
Because
y = a(1^x)
1 power anything is 1
y = a × 1
y = a
Answer:
-5 when ...
Step-by-step explanation:
The rules of exponents can help you simplify the given product.
<h3>Rules</h3>
(a/b)^c = (a^c)/(b^c)
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
<h3>Application</h3>
This expression does not match any of those offered.
When x=-1 and y=5, this becomes ...
Answer:
31
Step-by-step explanation:
210 ft ÷ 7 ft = 30
There are 30 7-ft lengths of fence.
Think of putting a post at the end of each 7-ft length. That means you need 30 posts. Now you must add 1 post for the beginning.
Answer: 31
Answer: $20
Step-by-step explanation:
From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.
Therefore, the total commission received from John's payment will be:
= 25% × $80
= 25/100 × $80
= 0.25 × $80
= $20
The commission is $20
Answer:
The equation can define y as a function of x and it also can define x as a function of y.
Step-by-step explanation:
A relation is a function if and only if each value in the domain is mapped into only one value in the range.
So, if we have:
f(x₀) = A
and, for the same input x₀:
f(x₀) = B
Then this is not a function, because it is mapping the element x₀ into two different outputs.
Now we want to see it:
x + y = 27
defines y as a function of x.
if we isolate y, we get:
y = f(x) = 27 - x
Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.
Now we also want to check if:
x + y = 27
defines x as a function of y.
So now we need to isolate x to get:
x = f(y) = 27 - y
Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.
