4x^2-5x-14 is your answer :)
Answer:
- sin(x) = ±(√2)/2
- r.a. = 45°
- x = 45° +k·360°
- x = 135° +k·360°
- x = 225° +k·360°
- x = 315° +k·360°
- x ∈ {135°, 225°, 315°, 405°}
Step-by-step explanation:
Start by solving for sin(x).
4sin(x)² = 2
sin(x)² = 1/2 . . . . divide by 4
sin(x) = ±√(1/2) = ±(√2)/2
Use your knowledge of the sine function to recognize that the reference angle is 45°, and that the angles x will be ...
x = ±45° or 180°±45° with multiples of 360° added
The solutions in the desired range are ...
x ∈ {135°, 225°, 315°, 405°}
The outlier is the piece of data that does not fit the general data set. In this case, 46 is much higher than all of the other numbers. This is the outlier.
Answer: Local Max = (-1, 0)
Local Min = (1, -8)
<u>Step-by-step explanation:</u>
f(x) = (x + 1)² (x - 3)
<u />
<u>Step 1:</u> Find the zeros
(x + 1)² = 0 --> x = -1 <em> (multiplicity of 2)</em>
(x - 3) = 0 --> x = 3
<u>Step 2:</u> Find the Vertices
x = -1 --> (multiplicity is even which means this is a vertex)
The midpoint between x = -1 and x = 3 is x = 1
<u>Step 3:</u> Find the Local Max and Local Min
Use the x-value above to find the y-values
f(-1) = 0 <em>because it is a zero</em>
f(1) = (1 + 1)² (1 - 3)
= 2²(-2)
= 4(-2)
= -8
<u>Conclusion:</u>
(-1, 0) is the Local Max bigger y-value
(1, -8) is the Local Min smaller y-value
Answer:
Step-by-step explanation:
I=prt/100
5000×2×2=20000÷10
I=2000