Answer:
This is not a function.
Step-by-step explanation:
Note, that set A contains 3 elements that only map to 2 elements in set B. A function would require that each element of set A to match to only one element of set B.
Since set B contains an element with no mapping to an element in set A, this does not represent a function.
Answer:
y = (-5/7) x + 1
Explanation:
The slope-intercept form of the line has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
5x + 7y = 7
To put this in slope-intercept form, we will need to isolate the y as follows:
5x + 7y = 7
7y = -5x + 7
y = (-5/7) x + (7/7)
y = (-5/7) x + 1
where:
m is the slope = -5/7
c is the y-intercept = 1
Hope this helps :)
Yes these triangles are similar
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!
The Sun transforms nuclear energy into heat and light energy.
Our bodies convert chemical energy in our food into mechanical energy for us to move.
An electric fan transforms electrical energy into kinetic energy.
