Y = 10x + 35
if y is cost per occupant and x is occupants, then we can read the equation as such:
Cost is equal to 10 times number of occupants plus a 35$ fee
10 times the number of occupants is the part we are worried about
The cost increases by 10$ for every occupant
Answer:
Step-by-step explanation:
The equation for that is

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
and now we will factor by grouping:
and factor out what's common:

The factor (x + 10) is common, so we will now factor that out:

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
simplifies to
100 - 30 which does in fact equal 70. OR
which simplifies to
49 + 21 which also equals 70.
So you're done!
Answer:
-3x
Step-by-step explanation:
Answer:
b = 1
Step-by-step explanation:
Given the equation is:
- 5b + 2b - (-b) + 7 = 5
We separate the terms of b and the constants. To do that we subtract 7 from both the sides. We get:
- 5b + 2b - (-b) + 7 - 7 = 5 - 7
⇒ - 5b + 2b - (-b) = - 2
Now, simplifying the terms with 'b'.
⇒ -5b + 2b + b = - 2
⇒ (-5 + 2 + 1)b = - 2
⇒ -2b = -2
Dividing both the sides by -2, we get:
b = 1 which is the required answer.
There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '

' in a right triangle, '

' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:

Now, we solve for x:
So, answer is 3.4