Answer:
g = At/60
Step-by-step explanation:
Given:
A = 60(g/t)
60(g/2) is a mistake in the question which the question has corrected in the comments)
A is the average for a professional hockey goalie.
g is the number of goals scored against the goalie.
t represents the time played in minutes.
Finding 'g':
A = 60(g/t)
can be written as A = (60*g)/t
Multiplying by 't' on both sides:
At = (60*g)*t/t
At = 60*g
Dividing by '60' on both sides:
At/60 = 60*g/60
At/60 = g
⇒ g = At/60
Rewrite equation so that it is homogeneous .
Solve characteristic equation:
The solutions to the homogeneous equation are:
Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
<span><u><em>The correct answer is: </em></u>
129,407.
<u><em>Explanation</em></u><span><u><em>: </em></u>
12 ten-thousands = 12*10000=120,000.
8 thousands = 8*1000=8000;
<u>this gives us</u> 120,000+8,000=128,000.
14 hundreds = 14*100=1400;
<u>this gives us</u> 128,000+1,400=129,400.
7 ones = 7*1=7;
<u>this gives us</u> 129,400+7=129,407.</span></span>
8 x - 4 (5 - x) = -44
mutiply the bracket by -4
(-4)(5) = -20
(-4)(-x)= 4x
8x-20+4x= -44
8x+4x-20= -44 ( combine like terms )
12x-20= -44
move -20 to the other side
sign changes from -20 to +20
12x-20+20= -44+20
12x= -44+20
12x= -24
divide both sides by 12
12x/12= -24/12
Answer: x= -2
