Answer:
slope of the line=5/3
Step-by-step explanation:
The general slope-intercept form of a line is given by,
y=mx+c
where, m is the slope of the line and c is the y-intercept
Here, m=5/3
Answer:
both are right
Step-by-step explanation:
okay so you already know that the y-intercept is 4 since a point is (0, 4)
but not to find the slope you can use the y2-y1/x2-x1
16 - 4/ -8 - 0 = 12/-8 = 3/-2
or
4 - 16/ 0 - (-8) = -12/8 = -3/2
it doesnt matter which you plug in first
so we know the slope (m) is -3/2 and the y-intercept (b) is 4, now to put it into an equation:
y = mx + b
y = -3/2x + 4
also im going to put this in slope-intercept form
3x + 2y = 8
-3x -3x
2y = -3x + 8
/2 /2
y = -3/2x + 4
y = -3/2x + 4 = y = -3/2x + 4
so both answers equal each other, meaning they both are right
Answer:
The number of people that received copies of the letter at the twentieth stage is<em> 9.537 × 10¹³ </em>.
Step-by-step explanation:
Using the discrete model,
a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a
then,
aₙ = a rⁿ for all integers n ≥ 0
Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.
Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,
a = a₀ = 1
The people who received he chain letter at stage (k - 1), will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,
a_k = 5 a_(k - 1)
Thus,
aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ
The number of people that received copies of the letter at the twentieth stage is
<em>a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies</em>
Answer:
2.8409091 miles
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
The slope increases by 1/3.
The slope formula is y2-y1/x2-x1.
When you plug in the points and simplify, you get 1/3.
