Answer:
x = 2
y = 4
Step-by-step explanation:
y = x + 2
y = 3x - 2
From equation one, y = x + 2
So, substitute x + 2 for y into equation two
We have
x + 2 = 3x - 2
Add 2 to both sides of the equation
x + 2 + 2 = 3x - 2 + 2
x + 4 = 3x
Subtract x from both sides
x - x + 4 = 3x - x
4 = 2x
Divide both sides by by 2
4/2 = 2x/2
2 = x
x = 2
Substitute 2 for x in either of the equations to get y.
Using the first equation, we have
y = 2 + 2
y = 4
Okay. So the song lasts 221 seconds. 45 seconds have already beem done and 22 seconds is done in an hour. The equation would be set up like this:
45 + 22h = 221
Just by looking at the answer choices, A is already eliminated because it doesn't incorportate the 45 seconds. B does include the 45 seconds, but it subtracts, and in this case, we add time, not subtract. D is eliminated, because the h variable does not go with 45. The only equation that works is C and when you solve it, you get 8 hours. The answer is C.
Note: you solve the equation above by subtract 45 from both sides to get 176 = 22x, and dividing both sides by 22 to get x = 8.
Answer:
The y intercept is -1
Step-by-step explanation:
The y intercept (when written in slope-intercept form) is always the constant at the end of the equation. In this case, that constant is -1.
Answer:
A to #4
B to #3
C to #1
D to #2
Step-by-step explanation:
A. 7 + 3² = 16
B. 5 - 2²=1
C. 2 · 2³ = 2^4
D. 3^4/3^1=27
Answer:
B
Step-by-step explanation: