N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4
ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4
Answer: Option A. First term = 16, ratio = 1/4
Answer:
Sqrt of 160
Step-by-step explanation:
The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:

In this case:

i.e.

For f(x)




Calculate f(3) and f(0)



So:



For g(x)



From the table of g(x)


So:


For h(x)



From the graph of h(x)


So:


So, the calculated rates of change are:



By comparison:
From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>
9514 1404 393
Answer:
7x
Step-by-step explanation:
We can factor out x and simplify.
4x +3x = x(4 +3) = 7x
<span>Expand
</span><span>5x+5=3x+12</span>
<span>Subtract 5 from both sides
</span><span>5x=3x+12−5</span>
<span>Simplify <span>3x+12−5</span> to <span>3x+7</span>
</span><span>5x=3x+7</span>
<span>Subtract <span>3x</span> from both sides
</span><span>5x−3x=7</span>
<span>Simplify <span>5x−3x</span> to <span>2x</span>
</span><span>2x=7</span>
<span>Divide both sides by 2
</span><span><span>x=<span>7/2</span></span></span>