First, we multiply 2.5 feet per second by the amount of seconds we are given.
2.5 * 5 = 12.5 feet
Now, let's subtract that number from 270 to find the height after 5 seconds.
270 - 12.5 = 257.5 feet above the ground.
After 5 seconds, the block is 257.5 feet above the ground.
Hope that helped!
Answer:
All Real Numbers
Step-by-step explanation:
<u>The Domain for a function simply is all the possible x values.</u>
When graphing this function, you'll realize that it's continuous and passes all x values.
Additionally, when looking at it, you'll realize you can input any number of your choosing.
When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.
For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.
Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.
Hope that helps, please let me know if you have any queries.
Answer:
(4x2 + 1) • (5x - 3)
Step-by-step explanation:
A)
If it has an area of 4(x+3) we can think that one side has a length of 4, and the other has a length of (x+3).
So, if the dimensions were doubled, 4 x 2 = 8. And 2(x+3) = 2x+6.
The new area would be:
8(2x+6) = 16x+48.
B)
The ratio will be the same. For example lets plug in some points:
x=0
4(0+3) = 4(3) = 12
And
16(0)+48 = 0+48 = 48
So the ratio is 48/12 = 4
Lets plug in another point.
x=2
4(2+3)= 4(5) = 20
And
x=2
16(2)+48 = 32 + 48 = 80
80/20 = 4
So the ratio is the same :)