First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have
Which means that the roots are
Next, we can expand the function definition:
In this form, it is much easier to compute the derivative:
If we evaluate the derivative in the points of interest, we have
This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation
is what we need. The three lines are:
This is the tangent at x = -2
This is the tangent at x = 0
This is the tangent at x = 1
Answer
x³ +4x²+7x+2
Step-by-step explanation:
Answer:
The answer is: y = 1/2x + 2
Step-by-step explanation:
Given equation: y = 1/2x + 5
Given point: (-2, 1)
The slope of the given line is 1/2. Parallel lines have the same slope.
Use the point slope form and solve for y:
y - y1 = m(x - x1)
y - 1 = 1/2(x - (-2))
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1/2 * 2
y - 1 = 1/2x + 1
y = 1/2x + 2
Proof:
f(-2) = 1/2(-2) + 2
= -1 + 2
= 1, giving point (-2, 1)
Hope this helps!! Have an Awesome Day!! :-)
Hey there! I'm happy to help!
Let's call our percent p. The word is means equals when working with percents. This means we can make the following equation.
10337.6=56.8p
Let's flip the equation so p is on the left.
56.8p=10337.6.
We divide both sides by 56.8.
p=182
To turn a decimal into a percent, you multiply it by 100, so our percent is 18200%.
Have a wonderful day! :D
