Answer:
B. 17
Step-by-step explanation:
The question requires substitution skills.
When given the expression "5+y+8" and "y=4", evaluating the expression would be substituting "y=4" into "5+y+8" which gives you "5+4+8".
From there, you equate the expression and you will obtain "5+4+8=17".
That would be -1, -4. since it is in quadrant 3. :)
Step-by-step explanation:
step 1 = Divide 675 by 8 keeping notice of the quotient and the remainder.
step 2 =Continue dividing the quotient by 8 until you get a quotient of zero.
step 3 = Then just write out the remainders in the reverse order to get octal equivalent of decimal number 675.
Using the above steps, here is the work involved in the solution for converting 675 to octal number:
675 / 8 = 84 with remainder 3
84 / 8 = 10 with remainder 4
10 / 8 = 1 with remainder 2
1 / 8 = 0 with remainder 1
Then just write down the remainders in the reverse order to get the answer, The decimal number 675 converted to octal is therefore equal to :
1243
Answer:
C.
Step-by-step explanation: the domain is all even integers from 0 to 6 hours
We have to find the values of F.
In this case. F is unlikely to be a polynomial.
But the problem is, we can’t calculate the values of F directly.
There is no real value of x for which x = x−1 x because F isn’t defined at 0 or 1. so,
substituting x = 2.
F(2) + F(1/2) = 3.
Substitute, x = 1/2
F(1/2) + F(−1) = −1/2.
We still are not getting the required value,
therefore,
Substitute x = −1
As, F(2) +F(−1) = 0.
now we have three equations in three unknowns, which we can solve.
It turns out that:
F(2) = 3/4
F(3) = 17/12
F(4) = 47/24
and
F(5) = 99/40
Setting
g(x) = 1 − 1/x
and using
2 → 1/2
to denote
g(2) = 1/2
we see that :
x → 1 - 1/x → 1/(1-x) →xso that:
g(g(g(x))) = x.
Therefore, whatever x 6= 0, 1 we start with, we will always get three equations in the three “unknowns” F(x), F(g(x)) and F(g(g(x))).
Now solve these equations to get a formula for F(x)
As,
h(x) = (1+x)/(1−x)which satisfies
h(h(h(h(x)))) = xNow, mapping x to h(x) corresponds to rotating the circle by ninety degrees.