The line passes through -10 on the graph therefore the slope is negative 10
Step-by-step explanation:
50 × 5/100 = 2.50
50 + 2.50 = $52.50
Answer:
<u>After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Club A = Membership fee of $ 16 + Monthly fee of $13
Club B = Membership fee of $ 22 + Monthly fee of $11
2. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
For answering the question, we will use the variable x to be the number of months of membership of the two clubs, this way:
Club A = Club B
16 + 13x = 22 + 11x
13x - 11x = 22 - 16
2x = 6
<u>x = 6/2 = 3</u>
Substituting and proving x = 3:
16 + 13x = 22 + 11x
16 + 13 * 3 = 22 + 11 * 3
16 + 39 = 22 + 33
<u>55 = 55</u>
<u>After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55</u>
Answer:
The change in the car's distance is 8 feet
Step-by-step explanation:
* Lets explain how to solve the problem
- A car is driving away from a crosswalk
- The distance d (in feet) of the car from the crosswalk t seconds
since the car started moving is given by the formula d = t² + 3.5
- The time increasing from 1 second to 3 seconds
- We need to now the change of the car's distance from the crosswalk
∵ The equation of the distance is d = t² + 3.5
∵ The time is 1 second
∴ d = (1)² + 3.5
∴ d = 1 + 3.5 = 4.5 feet
∵ The time is 3 seconds
∴ d = (3)² + 3.5
∴ d = 9 + 3.5 = 12.5 feet
∵ The change of the distance = d of 3 sec - d of 1 sec
∵ d of 3 sec = 12.5 feet
∵ d of 1 sec = 4.5 feet
∴ The change of the distance = 12.5 - 4.5 = 8 feet
∴ The change in the car's distance is 8 feet
Answer:
The x-intercepts are 
and 
.
Step-by-step explanation:
We are given the equation
Begin by dividing both sides of the equation by 2:
Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:
Split the equation into two based on the two solutions:
Solve each equation by subtracting 1 from both sides:
Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).
