Answer:
Step-by-step explanation:
First factor the second binomial
38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)
So there's your 37. This whole expression is divisible by 37
Now do the first binomial
36^5 - (36^4)*6
36^4(36 - 6)
36^4(30) and there's your thirty.
That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9
6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9
So this factors into 30*(36^4)*37*38^9
Answer:
; minimum
Step-by-step explanation:
Given:
The function is, 
The given function represent a parabola and can be expressed in vertex form as:

The vertex form of a parabola is
, where,
is the vertex.
So, the vertex is
.
In order to graph the given parabola, we find some points on it.
Let 




So, the points are
.
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex
, it is minimum.
Answer:
d i thin;kStep-by-step explanation:
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Answer:
x = 10
Step-by-step explanation:
2(1+5x)-3x=72
Distribute
2 + 10x -3x = 72
Combine like terms
2+7x=72
Subtract 2 from each side
2+7x-2 = 72-2
7x = 70
Divide by 7
7x/7 = 70/7
x = 10