Answer:
<em>The answer is (B).</em>
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = 
g(x) = 
is inverse function of f(x) and ≠ 
- 3
<em>B).</em> y = f(x) = 
- 3 ⇔ 4y = 5x - 12 ⇔ x = 
g(x) = 
is inverse of f(x)
Answer:
14000 liters
Step-by-step explanation:
500 * 4 = 2000
2000 * 7 = 14000
Answer: The unit rate is $25
Step-by-step explanation: We know that the cost of cabin lodging is 25 dollars per lodger.
Then the equation y = 25x models this relation.
Here the cost is y, and the number of lodgers is x.
We want to find the unit rate.
The actual equation should be in dollars, and the number of lodgers is just a scalar number.
so the equation should be:
y = $25*x
Now, the unit rate is defined as the rate with 1 in the denominator, in this case, is the price for each unit of x (lodgers) so is the price per lodger.
We already know that the price per lodger is $25, so the unit rate is $25.
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
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