Please HELPPPPP , what is the solution of the system?
1 answer:
Answer:
x = 1
y = 0
Step-by-step explanation:
On a coordinate plane, the horizontal axis is the x-axis, the vertical axis is known as the y-axis. One is given a system of equations, the problem delivers this system in graphical form. This means that one can visually see the equations. The solution to a system of equations is the intersection point between the two lines. One generally writes the solution to a system of equations in the format of a point on the number line. Which would be as follows,
The intersection point of the two lines is as follows,
Thus, one would enter the following answer,
You might be interested in
<h3>Answers:</h3>
- f(-5) = 23
- f(12) = 433
==================================================
Explanation:
The given piecewise function is
At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
- f(x) = -4x+3 when x < 3
- f(x) = -x^3 when
- f(x) = 3x^2+1 when x > 8
In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
-----------------------
f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
------------------------
Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
------------------------
Side notes:
- We won't use the second definition since we don't have any x inputs between 3 and 8
- To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example,
is the same as x<=5