Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>
From the problem, we know the following data of the problem:
- Laval parked at the beach.
- Laval paid a fixed price of $4 for a pass.
- Laval paid $1.50 for each hour.
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:
Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:
Finally, we can write total cost (C) as the sum of these two expressions:
Finally, our correct option is A:
<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:
Finally, he spent 5 hours at the beach
Answer:
A=pq
2
Step-by-step explanation:
A=35
Because the area in the drawing is 36 cm^2, one side length is 6 cm.
On the actual floor, this equates to 24 ft.
This means the area of the floor in real life is 576 square feet.
Therefore the ratio is 36 square centimetres : 576 square feet.
This is the same as 1 square centimetre : 16 square feet.
Answer:
The function f(x) has a vertical asymptote at x = 3
Step-by-step explanation:
We can define an asymptote as an infinite aproximation to given value, such that the value is never actually reached.
For example, in the case of the natural logarithm, it is not defined for x = 0.
Then Ln(x) has an asymptote at x = 0 that tends to negative infinity, (but never reaches it, as again, Ln(x) is not defined for x = 0)
So a vertical asymptote will be a vertical tendency at a given x-value.
In the graph is quite easy to see it, it occurs at x = 3 (the graph goes down infinitely, never actually reaching the value x = 3)
Then:
The function f(x) has a vertical asymptote at x = 3
Answer:
Step-by-step explanation:
y = 1/3x + 6
y = 1/4x + 3
this is just a matter of substitution...subbing in one y for the other
y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work
1/3x + 6 = 1/4x + 3
1/3x - 1/4x = 3 - 6
4/12x - 3/12x = -3
1/12x = -3
x = -3 * 12
x = - 36
now sub that back into either of ur original equations to find y
y = 1/3x + 6
y = 1/3(-36) + 6
y = - 12 + 6
y = - 6
solution is : x = -36 and y = -6 or (-36,-6)
