Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
Answer: 
Step-by-step explanation:
Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.
Favorable outcomes = 2
Then the probability that me and my friend are both chosen =
Thus , the probability that me and my friend are both chosen =
Step one: set the base of each term to be the same (10)
(10ˣ)(10²)²ˣ = (10³)⁵
(10ˣ) (10⁴ˣ)= (10¹⁵)
10⁵ˣ = 10¹⁵
Because the indices are the same we can equate the two.
5x = 15
x = 3
Check 10⁵ˣ³ = 10¹⁵ 10¹⁵=10¹⁵
Answer: 2 units to the right, 5 units up
Step-by-step explanation:
Answer:
- y = 250 + 150x
- y = 1650 - 200x
Step-by-step explanation:
<u>Equation for Manuel:</u>
<u>Equation for Felicia:</u>
<u>Solving we get:</u>
- 250 + 150x = 1650 - 200x
- 150x + 200x = 1650 - 250
- 350x = 1400
- x = 1400/350
- x = 4 weeks
and
- y = 250 + 150*4 = 250 + 600 = $850
After 4 weeks Manuel and Felicia will have equal amount of money- $850
