(a). 8x + y = 20, where (b). y = x2 - 2x + 4
So where y is in equation (a), substitute in the value of y in (b).
8x + (x2 - 2x + 4) = 20
8x + (4) = 20
Get rid of the 4 on both sides (since what you do to one side, you must do to the other)
8x + 4 - 4 = 20 - 4
8x = 16
Get rid of the 8 to leave x on its own
8x ÷ 8 = 16 ÷ 8
x = 2
So now that you have x, find y but substituting in the value you just found (2) into one of the starting equations.
8x + y = 20 where x is 2.
8(2) + y = 20
16 + y = 20
Minus 16 from both sides
y = 20 - 16 = 4
So x is 2 and y is 4
The additive inverse of -7 is 7, the additive inverse of a number is when added to any number equals 0. So the additive inverse of -14=14 and 7=-7.
Answer:
x=59deg
Step-by-step explanation:
We will use tangent to find the angle because we do not know the length of the hypotenuse.
Tan(x)=opp/adj
Tan(x)=30/18
Tan(x)~59
So the last option is correct. 59deg
Answer: 8 hours
Step-by-step explanation:
Let x be the time taken by each person to paint the fence.
Given: Tom and Becky can paint Jim's fence together in 12 hours.
Since all people paint at the same rate, then we have the following equation ;-
Thus, the time taken by each person to paint the fence alone = 24 hours
Now, the time taken by all three paint together:-
Hence, it would take 8 hours if all three paint together.
