Potential roots have the format
factors of the constant term
-------------------------------------
factors of the initial term
Here, 7/3 is the only possible root that has a 7 in the numerator and a factor of 9 in the denominator.
Verify that 7/3 is a root using synthetic division.
Average = (A₁+A₂+A₃+A₄+A₅)/5. Since average = 20 (GIVEN), then:
20 = (A₁+A₂+A₃+A₄+A₅)/5
Or (A₁+A₂+A₃+A₄+A₅) = 20x5
(A₁+A₂+A₃+A₄+A₅) = 100
Make 4/5 into 8/10 which would make the decimal .8.
We are given that ABCDE is congruent to TVSRK and want to find what corresponds to VSR.
Look at the ordering of the letters. VSR is the second, third, and fourth letters of TVSRK, respectively.
Thus, we just have to select the second, third, and fourth letters of ABCDE and we get BCD.
Thus, VSR corresponds to BCD. Let me know if you need any clarifications, thanks!
Answer:
The three numbers are 12, 11, and 6
Step-by-step explanation:
Let
First Number be x
Second Number be y
Third Number be z
Now, we can come up with equations from the word problem.
The 2nd is 1 less than 1st means:
y = x - 1
3rd is 5 less than 2nd means:
z = y - 5
1st is TWICE as large as 3rd means:
x = 2z
We have 3 equations. Let's put 3rd into 1st, we get:
y = 2z - 1
Now put this into 2nd equation, we get:
z = 2z - 1 - 5
Solving for z:
5 + 1 = 2z - z
z = 6
We know x = 2z, so x = 2(6) = 12
x = 12
and y = x - 1, this means y = 12 - 1 = 11
y = 11