Answer:
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Step-by-step explanation:
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Hello :
y = 3x²+9x
= 3(x² + 3x )
= 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
= 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex is : - 3/2</span>
Answer:
ttrhrtherhhhtrhtr
Step-by-step explanation:
1 5/10 = 1.5 minutes
1 minutes is 60 seconds
1.5 * 60 = 90 second
90 seconds = 1 minutes and 30 seconds.
The series is -10-2+6+14+...+110
We see that the common ratio is 8, so it is of the form T0+8n
We also see that T0=-10 (i.e. when the pattern starts.
So we have
Tn=-10+8n
and the summation would be
∑ (-10+8n)
Next to determine the limits.
We know that the first term is -10, which fits T0=-10+8(0).
The last term is 110, which gives the equation Tn=110=-10+8(n)
Solving for n gives
n=(110+10)/8=15
Therefore the limits of summation are 0, 15
hence the summation formula is

I will leave the other problem you posted for your own exercise.