Answer:
The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
Commutative Property
Step-by-step explanation:
The property of multiplication that is being demonstrated is known as Commutative Property. This property basically shows that when multiplying two numbers the actual order in which they are multiplied does not matter and does not affect the result at all. For example, the in this scenario to get the total number of oranges we have to multiply the number of bags by the number of oranges in each bag, but whatever way we do this they equal the same
2 bags * 3 oranges per bag = 6 oranges
3 bags * 2 oranges per bag = 6 oranges
Therefore,
2 * 3 = 3 * 2
Answer:
29
Step-by-step explanation:
Since they have given you x = 4, simply sub it into the equation,
(4)^2 + 3(4) - 7 + 8
= 29
the answer is the third option, starting with degree 11.
