Answer:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
Step-by-step explanation:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
<span>In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an.
Then write the first four terms of the sequence.
Use the formula L = A + (N-1)D, where L represents the nth term.
Then, based upon the given info,
18 = A + (4-1)D and 30 = A + (10-1)D.
The first equation boils down to 18 = A + 3D, so that A = 18 - 3D. Subst. 18-3D for A in the second equation: 30 = 18-3D + 9D. Then 12=6D and D = 2.
</span><span>
Use </span>A = 18 - 3D to determine the value of A. Recall that D=2.
Then A = 18 - 3(2), or A = 18-6, or A = 12.
Then L = A + (N-1)D becomes L = 12 + (N-1)(2).
First term is 12. Next is 14; next is 16; last is 18.
12/4=3
6/3=2
and 2/1=2
Hope this helps!
Answer:
1.6 hours
Step-by-step explanation:
The computation of the number of hours is shown below:
For water sports
= 20x + 8
And,For splash of fun
= 25x
Now the cost of both would be same
i.e.
20x + 8 = 25x
8 = 5x
x = 1.6 hours
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Below is the solution:
<span>E(X) = 50*1 - 3*8000/10000
E(X) = 50 - 24 = $26 per year</span>