Answer:
The solutions are π/4, 3π/4,5π/4,7π/4
Step-by-step explanation:
The given equation is
6sin²(x) = 3
Divide by 6 to get:

This implies that;

If


in the first quadrant

in the second quadrant.
If


in the third quadrant

Answer: The bench is $150 and the garden table is $300
Answer: 1639.08
Step-by-step explanation: To find the surface area of a cylinder, multiply 2(3.14)times the radius squared. Your answer is 508.68. Then multiply 2(3.14)times the radius and the height. You'll get 1130.08. add the answers you got from both equations together. That's the surface area of your cylinder. If you have any more questions, please let me know.
<h3>
Answer:</h3>
- A. x = -2
- B. (-2, -3), (-3, -1)
- C. x = 0
<h3>
Step-by-step explanation:</h3>
Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.
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Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...
... (-2, -3) and (-3, -1)
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Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means
... p(0) = g(0) = 2
So, x = 0 is the solution to the equation p(x) = g(x).
Answer:
x^3 + 1
Step-by-step explanation:
Swap x and y and solve for y:
x =(y-1)^⅓
x³ = y-1
y = x³+1
f(x) = x³+1