The <u>general</u> <u>expression</u> for the <u>exponential function</u> is where
Note that the graph of each exponential function passes through the point (0,a), because Since then options A and C are false.
First point in options B and D is (0,1), then
and you get the expression for the exponential function.
Points (0,1), (1,3), (2,9) and (3,27) represent the powers of 3. In this case
Points (0,1), (1,2), (2,5) and (3,10) couldn't generate any exponential function, because if then
Answer: correct choice is D
B. 61 square units
12x3=36
8-3=5 so 5x5=25
25+36=61
You can get the conversions you want by typing the exact expression you have here into a Google or Bing search box.
For example,
h. 7 acres to square feet = 304920 square feet
_____
There are a few conversions you are expected to know: feet to inches, yards to feet, miles to feet (or yards). Acres are a little more difficult, as they are generally defined in terms of a rectangle, not a square. Raised on a farm, I know there are 640 acres in a square mile, so dividing (5280 ft)^2 by 640 gives 43560 ft^2, the number of square feet in an acre.
To do conversions of any kind (not just distance or area), you write the conversion factor as a fraction with a value of 1. That is, the numerator has the same value the denominator has, but in different units. You choose the bottom units to cancel the units you have, and the top units to give you what you want.
a. 1 mile = 1760 yd
You want yards and have miles, so you write the conversion factor as (1760 yd)/(1 mi). Multiply by this.
.. (13 mi)*(1760 yd)/(1 mi) = 13*1760 yd = 22,880 yd
For area measures, you use the square of the linear conversion factor.
b. 1 ft = 12 in
.. 67 ft^2 * ((12 in)/(1 ft))^2 = 67*12^2 in^2 = 9648 in^2
Sometimes you need to go through an intermediate step if you don't have the direct conversion factor.
d. 87120 yd^2 * ((3 ft)/(1 yd))^2 * (1 ac)/(43560 ft^2) = 87120*3^2/43560 ac
.. = 18 ac
Answer:
No.
Step-by-step explanation:
The definition of a function is that every output (x) has only one input (y).
Here -3 gives two different outputs which contradicts the definition of a function.
T . S . A = π r l + π r 2 this is the formula