By definition the rate of change of a function is given by:
Or equivalently:
Substituting the values given in the problem we have:
Rewriting we have:
Answer:
the rate of change of the ramp is:
Answer:
Part A: No it is not a function
Part B: The equation
Part C: x = 3
Step-by-step explanation:
Part A - The table:
Input (x) Output (y)
6 14
12 15
15 15
25 16
This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.
Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.
y = 7(6) -15
y = 42 - 15
y = 27
The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.
Part C: To find when y = 6, set it equal to 6 and solve for x.
6 = 7x - 15
21 = 7x
3 = x
Answer:
Yes
Step-by-step explanation:
Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.
When you have a negative number, you just take the reciprocal of the whole exponent number.
What is a reciprocal?
Let's take an integer for example, let's take the number 3.
The reciprocal for 3 is (1/3)
Let's take an other number, let's take 2/3
The reciprocal for 2/3 is (3/2)
In conclusion, we just reverse the denominator and the numerator or just switch it.
We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)
Now, coming to the negative integers. Taking an example:
(2)⁻¹
This would be become (1/2¹) = (1/2)
Hence, the result of a negative integer is positive but would be a fraction.
Hope I helped!
Answer:
y = x - 7
Step-by-step explanation:
