Answer:
4
Step-by-step explanation:
6*(8*2)^2/(6*8^2)=2^2=4
5x + 8y = -29
7x - 2y = -67 ..... multiply both sides by 4
5x + 8y = -29
28x - 8y = -268
33x + 0y = -297
x = -9
(-9, 2)
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
Step-by-step explanation:
LHS= sin 3x/sin x - cos 3x/cosx
Taking LCM,
<u>=</u><u>sin3xcosx- cos3xsinx</u>
sinxcosx
<u>=</u><u>sin(3x-x)</u>
sinxcosx
= <u>2sin2x</u>
2sinxcosx
=<u> </u><u>2sin2x</u><u> </u>
sin2x
=2
= RHS.
Proved.
Average must be 225 or more
4 games so
score1=192
score2=214
score3=250
score4=?
so
times both sides by 4 to clear fraction
656+?≥900
minus 656 from both sides
?≥244
min score is 244
