Answer:
(-2, -1)
Step-by-step explanation:
first you must reorganize the equations so that one of them has x or y equaling to something
x - y = -1 --> x = y - 1
then substitute that in for x
3(y - 1) - 5y = -1
and solve for y
3y - 3 - 5y = -1
-2y = 2
y is -1
then plug it back in to an equation to find x
x + 1 = -1
x is -2
Answer:
sin(2θ) = 1/2 has 4 solutions instead of 2
Step-by-step explanation:
The argument of the sine function (2θ) will have a possible range of 0 to 4π in the latter equation, doubling the number of possible answers.
_____
The number of cycles of the sine function you need to consider will match the coefficient of the variable in the sine function argument. Perhaps the graph below can give you a clue as to why.
Your answer would be 2x^2. Multiplying an x by an x makes it a squared variable.
Answer:
<h3>
9, 10 and 11</h3>
Step-by-step explanation:
x - the smallest of three consecutive integers (the first)
x+1 - the next of three consecutive integers (the second)
x+2 - the last of three consecutive integers (the third)
3(x+2) - three times the third integer
<u>3(x+2)+x </u> - three times the third increased by the first
5(x+1) - five times the second tnteger
<u>5(x+1)-8 </u> - 8 less than five times the second
3(x + 2) + x = 5(x + 1) - 8
3x + 6 + x = 5x + 5 - 8
4x + 6 = 5x - 3
-4x -4x
6 = x - 3
x = 9
x+1 = 10
x+2 = 11
Check: 3×11+9 = 33+9 = <u>42</u>, 5×10-8=50-8 = <u>42</u>
Answer:
Step-by-step explanation:
Since the highest power is x^4, y increases without bound as x approaches positive or negative infinity. So the end behavior is positive infinity.
