Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
is this the whole question because there's nothing to find?
Answer:
7²
Step-by-step explanation:
3*2=6 6/2=3 6-2=4 4*2=8 8/2=4 4+3=7
Answer:
f(x-3)= x^2 -11x +24
Step-by-step explanation:
We want to find an equivalent expression for f(x-3)
To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'
Therefore f(x-3)= (x-3)^2 -5*(x-3)
Lets re arrange the expression by grouping terms.
f(x-3)=x^2 - 6x +9 -5x + 15
f(x-3)= x^2 -11x +24
