The given function is
f(x) = sec²x - sec²x sin²x

Note that
sin²x + cos²x = 1, so that 1 - sin²x = cos²x.
Also, sec(x) = 1/cos(x).

Therefore
f(x) = sec²x(1 - sin²x)
= sec²x cos²x
= 1

Answer:
The graph of the given function should be a constant value of 1.

The graph is shown below.

4 0

3 years ago

A mysterious box is delivered to the dinner party you are attending. The label on the box says that the volume of a box is the f

Lapatulllka [165]

F(x) = x³ + 3x² - 10x - 24

The root factors must be the factors of 24.
1 x 24 ; 2 x 12 ; 3 x 8 ; 4 x 6.

The most probable roots would be -4, -3, -2, -1, 1, 2, 3, or 4.

Using synthetic division, one can find that the smallest root is -3.
(x - 3)(x² - 6x - 8). The quadratic can now be factored as (x + 2)(x - 4) and further factored as (x - 3)(x + 2)(x - 4).

The correct factors are: (x - 3) (x + 2) (x - 4)

6 0

3 years ago

Peter used a $5 gift certificate to help pay for his lunch after adding a 15% tip to the cost of his meal Peter still had to pay

kogti [31]

So, because he used a five dollar certificate, the total price of his meal was 7.36. Now we need to find the price of his food. Because he gave the waiters a fifteen percent tip, his meal is 85% of the total cost:
0.85(7.36) = 6.256
We can round up:
PETER SPENT $6.26 ON HIS MEAL

5 0

3 years ago

Which expression is not equivalent to?​

Which expression is not equivalent to?