Answer:
125 and 216
Step-by-step explanation:
Here,
a₁ = (1)³ = 1
a₂ = (2)³ = 8
a₃ = (3)³ = 27
a₄ = (4)³ = 64
So,
a₅ = (5)³ = 125
a₆ = (6)³ 216
Thus, The next two terms for the following sequence 1 , 8 , 27 , 64 is 125 and 216
<u>-TheUnknown</u><u>Scientist</u>
There is a 3.25% chance the card will either be an 8 or a 9. Hope this helps. :)
<h3>
Answer: -13</h3>
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Explanation:
g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)
g(1) = -4 means we have the point (1,-4)
Find the slope of the line through the two points (-3,2) and (1,-4)
m = (y2-y1)/(x2-x1)
m = (-4-2)/(1-(-3))
m = (-4-2)/(1+3)
m = -6/4
m = -3/2
m = -1.5
The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5
Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation: 2 = -1.5*(-3) + b
Let's solve for b
2 = -1.5*(-3)+b
2 = 4.5 + b
2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides
-2.5 = b
b = -2.5
Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5
The last step is to plug in x = 7 and compute
g(x) = -1.5*x - 2.5
g(7) = -1.5*7 - 2.5
g(7) = -10.5 - 2.5
g(7) = -13
