We are trying to find the number that when added to 19, gives us less than 42. We can set up this simple inequality:
19 + x < 42
Now, subtract 19 from both sides:
x < 23
Our number can be anything less than 23.
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
Ok, so IDK if I'm about to do this problem right, but here we go;
so first, lets change these all to decimals (I more of a decimal gal)
3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375
So now, just order them from greatest to least.
3.66666, 3.6, 3.5, 3.375.
Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8
So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!
Answer:
D
Step-by-step explanation:
A is (-8,8) so you would divide each 8 by 4 because 8 divided by 1/4 so you will have (-2,2)
B is (-8,4) so divide the by 1/4 which would be (-2,1)
C is (4,-4) so divide that and and you get (1,-1)
