Answer:
y=4
Step-by-step explanation:
The first step to solving this equation is to get rid of the brackets, which we do by multiplying each term on the brackets with the term outside it, so:
5y+34=-2*-7y+-2*1
Then we multiply and merge any like terms:
5y+34=14y-2
Now we need to move all y terms to one side and numbers on the other which we do by reversing the sign:
5y+34-5y+2=14y-2+2-5y
This leave us with:
9y=36
Now all that's left to do is divide both sides by 9 so we are left with:
y=4
Hope this helped!
R = 6x + 5y
x = 7, R = 18
Substitute them in: 18 = 6(7) + 5y
18 = 42 + 5y
-24 = 5y
y = -24/5
It’s already in its simplest form
Answer:
D
Step-by-step explanation:
Every second the amount of gallons goes up by 2, so the equation y = 2x would match.
Answer:
B. csc²(x)
Step-by-step explanation:
You can use the relations ...
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
cot(x) = cos(x)/sin(x)
to replace the functions in your expression. Then you have ...
sec²(x)·cot²(x) = (1/cos(x)·cos(x)/sin(x))² = (1/sin(x))² = csc²(x)
___
Alternate solution
You can also use the relation
cot(x) = csc(x)/sec(x)
Then ...
(sec(x)·cot(x))² = (sec(x)·csc(x)/sec(x))² = csc²(x)