Answer:
- -35/3, -140/3, - 560/3, -2240/3
- 7, -28, 112, - 448
Step-by-step explanation:
<u>The terms are:</u>
<u>Given:</u>
- a₁ = a₂ + 35
- a₃ = a₄ + 560
<u>Use the nth term formula:</u>
- a₂ = a₁r
- a₃ = a₁r²
- a₄ = a₁r³
<u>Substitute:</u>
- a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
- a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
<u>Divide the second equation by the first:</u>
- r² = 560/35
- r² = 16
- r = √16
- r = ± 4
<u>Use the first equation to find the first term:</u>
- a₁( 1 ± 4) = 35
- 1. a₁ = 35/-3 = -35/3
- 2. a₁ = 35/5 = 7
<u>We have two sequences:</u>
r = 4
- -35/3, -140/3, - 560/3, -2240/3
r = -4
First of all, the average speed is the ratio between the distance traveled and the time elapsed. So, the average speed of a car that travelled 720 kilometers in 6 hours is
kilometers per hour.
As for the second exercise, you can simply write this proportion:
Because we expect the distance traveled in 3 hours to be proportional to the distance traveled in 2 hours, if the (average) speed is the same.
Solving for x, we have
To find the x intercept of this line, we simply need to set y equal to 0 and solve for x.
8x = 4
Divide both sides by 8.
x = 1/2
<h3><u>The x-intercept of this line is equal to 0.5, or 1/2.</u></h3>
The equation would be .35x +15.50!
You can subtract 15.50 from 16.90 to get 1.40. Then divide 1.40 by .35! You would get 4! Good luck!
Answer:
slope = 7 y intercept = 12
Step-by-step explanation