Important: to denote exponentiation use " ^ ":
<span>(x + y)1 = ___ x + ___ y NO
</span><span>(x + y)^1 = ___ x + ___ y YES
(x+y)^1 = 1x + 1y
(x+y)^2 = 1x + 2xy + y^2
(x+y)^3 = 1x^3 + 3x^2*y + 3x*y^2 + y^3
and so on. Look up "Pascal's Triangle" if you want more info on this pattern.
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</span><span>(x + y)4 = ___ x4 + ___ x3y + ___ x2y2 + ___ xy3 + ___ y4 NO
</span>
<span>(x + y)^4 = ___ x^4 + ___ x^3y + ___ x^2y^2 + ___ xy^3 + ___ y^4 YES
(x+y)^4 = 1x^4 + 4x^3*y + 6x^2*y^2 + 4x*y^3 + y^4</span>
Answer:
True
Step-by-step explanation:
An integer is anything that's not a fraction/decimal, and being even is common knowledge
Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
