Answer:

Step-by-step explanation:
Let
be the number of gallons so
is the number of miles traveled per
gallons.
We know for our problem that Brian's car gets 25 miles per gallon. Since the gallons is represented by
, his car will travel a total distance of 25g (where g is the number of gallons.
We also know that the total distance is given by
, so we can put the two expressions together to get our function:

Let's check:
- If he uses 1 gallon (g=1), so

miles
He will travel 25 miles with one gallon.
- If he uses 2 gallons (g=2), so


He will travel 50 miles with two gallon.
Answer:

Step-by-step explanation:


Answer:
Put an open circle over the 1 to the right of 0. The arrow should point all the way to -5 or the 5 to the left of 0.
Step-by-step explanation:
In order to solve this, we know that x is less than one. That means that we need to circle to be over the 1, since it is the only known number in this inequality.
Since the phrase "less than" means that x cannot be more than 1, we know that in order to find the value of "x", then we need an amount lower than one, therefore, we move to the left.
Answer:


Step-by-step explanation:
<u>Trigonometric Formulas</u>
To solve this problem, we must recall some basic relations and concepts.
The main trigonometric identity relates the sine to the cosine:

The tangent can be found by

The cosine and the secant are related by

They both have the same sign.
The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.
The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.
We are given

Find the cosine by solving





We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.
Now compute the tangent

Rationalizing

