The correct solution is 75.
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
- <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
- <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>
Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
- Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr
<u>Using the general form</u> :
At, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
<u>The expression in slope intercept form becomes</u> ;
<u>If Raul lives 5 miles closer to the beach</u> ;
<u>Time it will take Luis to get to the beach</u> :
- Time taken = (15 ÷ 7.5) = 2.5 hours
Distance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
- Speed required = (10 ÷ 2.5) = 4 mi/hr
Therefore, Raul has to ride at 4 miles per hour for the plan to work.
Learn more :brainly.com/question/18405415
Answer:
Step-by-step explanation:
x^2 + 10x + 5 - 30 = 0
x^2 + 10x - 25 = 0
x^2 + 10x = 25
x^2 + 10x + 25 = 25 + 25
(x + 5)^2 = 50 <====
y = (t x - m -s)/r
Step-by-step explanation:
Step 1 :
Given,
r y + s = t x - m
=> r y = t x - m -s
=> y = (t x - m -s)/r
Step 2 :
A) r can take any values except 0.
This is because when r = 0, the denominator becomes 0 and division by 0 is undefined
The limitation for r is r should not be equal to 0
The other variables can take any value. Hence the other variables do not have any limitation
