What it's asking is to put the equation in either f(x) or g(x).
so for
(a) you would replace all x in f(x) equation with g(x) equation.
f(x) = 3x - 2
f(g(x)) = 3(5x + 4) - 2
solve from there
(b) g(x) = 5x + 4
g(f(x)) = 5(3x - 2) + 4
Hey there!!
Let us take the price of cinnamon tea as ' x ' and spice tea as ' y '
Now, let us take it into equation
12x + 3y = 15 -------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Let us multiply the first equation with 4
48x + 12y = 60 --------------- ( 1 )
14x + 12y = 45 --------------- ( 2 )
Now, subtract equation 2
48x + 12y = 60
-14x - 12y = -45
Now, we get,
34x = 15
x = 15 / 34
This is the cost for cinnamon tea = $ 15 / 34
Now, substitute this into one equation
Let us take this equation - 12x + 3y = 15
Now, substitute ' x '
12 ( 15 / 34 ) + 3y = 15
6 ( 15 / 17 ) + 3y = 15
90 / 17 + 3y = 15
3y = 15 - 90/17
3y = 165 / 17
y = ( 165/17 ) ( 1 / 3 )
y = $ 55/17
Cinnamon tea = $ 15/34
Spice tea = $ 55/17
Hope helps!
Answer:
Cool
Step-by-step explanation:
Thanks !!!
I think it’s 7? Maybe because of the division
Suppose we have a triangle ΔABC,
Length of AB = 14
Length of AC = 14
Angle ∠BAC = 122 degree
This triangle is isosceles triangle so, angle B = angle C = (180 - 122)/2 = 29
We know the two side and one angle of triangle ABC, here we use Sine Rule.
(In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.)
According to the law,
Solve for a
a = 24.49 option C
