Answer:
75.6 ounces
Step-by-step explanation:
Step one.
Given data
we are told that the original quantity of food is 63 ounces
and the increase is in food is by 20%
Step two:
let us find the increase in ounces
=20/100*63
=0.2*63
=12.6 ounces
Hence the amount of food in the bag now is
=12.6+63
=75.6 ounces
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
$7.65 × 23 = $175.95
Answer: $175.95
Answer: 50 minutes
Step-by-step explanation: a quarter to 5 is always 15 minutes from 5, 4:45. So 5:35-4:45 is 50.
Answer:
f(x) = -2(x + 3)(x + 1)(x - 4)(x - 1) or
f(x) = -2x^4 + 2x^3 + 26x^2 - 2x -24.
Step-by-step explanation:
The zeros of the function are at (-3, 0), (-1, 0), (4, 0), (1, 0) so in factor form the function is:
a(x + 3)(x + 1)(x - 4)(x - 1) where a is some constant.
We find a by substituting the point (2, 60)
60 = a(2+3)(2+1)(2-4)(2-1)
-30a = 60
a = -2.
So the function is -2(x + 3)(x + 1)(x - 4)(x - 1) .
