It can be written as 1.0625
Answer:
240 miles
Step-by-step explanation:
Step 1
We find the constant rate at which the family travels
Speed(Rate) = Distance/Time
A Family travels at a constant rate and drove 420 miles in 7 hours.
Speed(Rate) = 420 miles/7 hours
= 60 miles per hour
Step 2
If they drive at the same speed ,How many miles will they drive in the next four hours.?
We are to finally calculate the distance for the next 4 hours
Distance = Speed × Time
Speed = 60 miles per hour
Time = 4 hours
Distance = 60 miles per hour × 4 hours
Distance = 240 miles
Therefore, for the next 4 hours the number of miles they would drive is 240 miles
Steps:
1. Change 1/11 to 2/22 by multiplying by 2
2. 9/22 + 2/22
3. 11/22
Then, to simplify it you divide by 11
4. Your answer is
1/2
Given that a polynomial function P(x) has rational coefficients.
Two roots are already given which are i and 7+8i,
Now we have to find two additional roots of P(x)=0
Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.
conjugate of a+bi is given by a-bi
So using that logic, conjugate of i is i
also conjugate of 7+8i is 7-8i
Hence final answer for the remaining roots are (-i) and (7-8i).
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: 




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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: 




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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: 



