B. 45 feet/second
To find out how fast it can go in 1 second, we divide it by 2
90 divided by 2 is 45, so the average speed of a baseball that is thrown 90 feet in 2 seconds is 45 feet/second
Nearest tenth = 8.0
Nearest hundredth = 7.95
Nearest ones = 8
Answers:
Functions
- y = -x+11
- y = 2x^2-6x+4
- y = -7
Not functions
- x = 3
- x^2+y^2 = 81
- y^2 = -5x-12
=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would <u>not</u> be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
-----------------
In summary, we have these three non-functions:
- x = 3
- x^2+y^2 = 81
- y^2 = -5x-12
Everything else is a function. You can use the vertical line test as a visual way to check.
Answer:
y = (3/2)x + 8
Step-by-step explanation:
Hi
First let's find the slope of the given line by converting to slope-intercept form:-
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3
From this we see that the slope is -2/3.
The slope of a line perpendicular to this one will be - 1 / (-2/3)
= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).
Using the point-slope form to find the equation of this line
y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.
Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-
y - 5 = 3/2 (x - -2)
y - 5 = 3/2x + 3
y = (3/2)x + 8 which is the equation in slope-intercept form.
Step-by-step explanation:
First u have to do the work of bracket and the solve