Answer:
first box 9.6 2nd box 7.2 third box 12
Step-by-step explanation:
9.6 is the missing height 12 is the hypotenuse is always last
373/100 is 224 divided by 60 in a fraction form
A rectangle has two dimensions, width and length, and the area of it is their product.
since we know its area is 3x²-11x-4, then the two factors from that trinomial are the likely width and length, namely (3x + 1) (x - 4).
you can check them with FOIL.
Answer:
<h2> 7.3%</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest to get the rate of return;
Simple Interest = Principal * Rate * Time/100
Given Principal = $450,
Time (in years) = 1 year
Simple interest = $32.75
Rate (in %) =?
Substituting the given values in the given formula to get the rate;
32.75 = 450*1*R/100
450R = 3275
R = 3,275/450
R = 7.3%
The rate of return is 7.3%
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
__
Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.