We will see that f'(x) > 0, which means that f(x) is an increasing function.
<h3>
How to prove that the function is increasing?</h3>
For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.
Here we have the cubic function:
f(x) = x³ + 4x
If we differentiate this, we get:
f'(x) = df(x)/dx = 3x² + 4.
And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.
If you want to learn more about cubic functions:
brainly.com/question/20896994
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Answer:
6
Step-by-step explanation:
There's 10 fans, so each is worth 10%
If 60% of them are not working, that means that 6 fans are not working.
10 - 6 = 4
There are 6 not working fans
and there are 4 working fans
Answer:
y = 2x + 2
Step-by-step explanation:
<h3>
<u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>
- The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,
the point (0, 2)
- The line also meets the x-axis two units before the origin, I.e.,
the point (-1, 0)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3><u>Intercepts</u><u>:</u></h3>
<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.
There are two types of intercepts:
- x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
- y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>
Each of their length is equal to their distance from the Origin(0, 0)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3><u>Equation of a line (intercept form):</u></h3>
If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3>
<u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>
- x-intercept (a) = -1
- y-intercept (b) = 2

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>Isolating</em><em> </em><em>y</em><em>:</em>
<em>
</em>
That's the equation of the given line!
Answer:
i hope its correct
Step-by-step explanation:
11x + 2y=68 ------------1
5x+y=13 ------------2
y= 13-5x. ------------3
put 3 into 1
11x +2(13-5x) =68
11x +26 -10x =68
x=42
put x =42 into 2
5(42) +y =13
210+y=13
y=13-210
y=197
It would be the same as measure of triangle RQP