Answer:
all values! x ∈ R
Step-by-step explanation:
The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!
<span> f(2) = 2×2 − 1 = 3</span>
The point of intersection is (2, 3).
The example shows that we can find the point of intersection in two ways.
Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.
<span>Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.
Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators</span>
The slope-intercept form is y = 2x-3.
<u>Step-by-step explanation</u>:
Given,
- The equation of the line is y=2x+7.
- The general equation of the line is in the form y= mx+c.
- where 'm' represents the slope of the line.
<u>Comparing the given equation with general equation, it can be determined that</u> :
m = 2 and c = 7 (y-intercept).
The given line passes through the point (3,3) which is equal to (x1,y1)
Therefore, x1=3 and y1=3.
Substitute m=2 and the values of (x1,y1) in the slope-intercept form,
The slope-intercept form is (y-y1) = m (x-x1)
(y-3) = 2(x-3)
y = 2x-6+3
y = 2x-3
Hong kong and Indonesia maybe
Start out by adding 50 to both sides.
2x - 50 + 50 = 150 + 50
which simplifies to
2x = 200
then divide both sides by 2
2x ÷ 2 = 200 ÷ 2
which simplifies to
x = 100
And that is your answer! Hope this helps :)