H(x) = x - 7
g(x) = x^2
(g * h)(x) = x^2 (x - 7)
(g * h)(5) = 5^2 (5 - 7)
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b* a^c = a^(b+c)
6^4×6^4 = 6^(4+4) = 6^8
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
C is the correct answer. A, B, and C have terms with different powers of y, and as a result, these terms are not like. C, however, has only multiples of y cubed, so it is a set of like terms.
We have
1.234 in-----> 1+(0.234) in
we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234
therefore
1.234 in is equal to -----------> 1 15/64 in
the answer is
1 15/64 in
