Answer:
f(2) = 9
Step-by-step explanation:
It's give in the question,
Two different functions are,
f(x) = 4x + 1
g(x) = -2x
Then we have to find the output value of function 'f' for the input value x = 2.
By substituting the value of x in the function 'f',
f(2) = 4(2) + 1
= 9
f(2) = 9
First, put it into slope/intercept form so you can see what you've got.
"Slope/intercept form" is <em> y = everything else</em> .
So that means you have to take the equation you have and "solve it for 'y' ".
<u>2y - 10x = 20</u>
Add 10x to each side: 2y = 10x + 20
Divide each side by 2 : <em> y = 5x + 10</em>
There it is.
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is 5, and the line crosses the y-axis at 10.
And that's exactly the information you need to graph it. On your graph,
mark a little dot on the y-axis at 10, and draw a line through that dot
with a slope of 5.
One solution- if the graphs of the equations intersect, then there is one solution that is true for both solutions.
No solutions- If the graphs of the equation do not intersect (example-if they are parallel) there are no solutions that there are true for both equations.
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Half right. The discriminate is whats under the square root in the quadratic equation, so when it's negative you get 2 complex conjugate roots. It's the +/- before it that gives one root for + and one root for -
2 roots, non-real