Answer:
y=1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6=2(y+2)
6=(2)(y)+(2)(2)(Distribute)
6=2y+4
Step 2: Flip the equation.
2y+4=6
Step 3: Subtract 4 from both sides.
2y+4−4=6−4
2y=2
Step 4: Divide both sides by 2.
2y/2 2/2
Answer:
15/61+18/61i
Step-by-step explanation:
80 possible 2 digit passwords
5040 possible 4 digit PIN's with no repeats
can't see 7 to answer pls tell
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
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<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)
Answer:
4 roots: 2 , -3, 1+√2, 1 - √2
Step-by-step explanation:
x⁴ − x³ − 9x² + 11x + 6 = 0 leading: 1 (x⁴) Trailing: 6 (1,2,3,6)
possible roots: trailing/leading (±1 , ±2, ±3, ±6)
Test: x = 2 (2)⁴ - (2)³ - 9*(2)² + 11*(2) + 6 = 0
x = -3 (-3)⁴ - (-3)³ - 9*(-3)² + 11*(-3) + 6 = 0
By rational roots test: possible roots (x-2)(x+3) are factors
Long division: (x⁴ − x³ − 9x² + 11x + 6) / (x-2)(x+3) = x²-2x-1
roots of x²-2x-1: x= (-b±√b²-4ac) / 2a
x = (2 ± √4+4) / 2 = (2 ± 2√2) / 2 = 1 ± √2
