Recall that to get the x-intercepts, we set the f(x) = y = 0, thus
![\bf \stackrel{f(x)}{0}=-4cos\left(x-\frac{\pi }{2} \right)\implies 0=cos\left(x-\frac{\pi }{2} \right) \\\\\\ cos^{-1}(0)=cos^{-1}\left[ cos\left(x-\frac{\pi }{2} \right) \right]\implies cos^{-1}(0)=x-\cfrac{\pi }{2} \\\\\\ x-\cfrac{\pi }{2}= \begin{cases} \frac{\pi }{2}\\\\ \frac{3\pi }{2} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7B0%7D%3D-4cos%5Cleft%28x-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%20%5Cright%29%5Cimplies%200%3Dcos%5Cleft%28x-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%20%5Cright%29%0A%5C%5C%5C%5C%5C%5C%0Acos%5E%7B-1%7D%280%29%3Dcos%5E%7B-1%7D%5Cleft%5B%20cos%5Cleft%28x-%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%20%5Cright%29%20%5Cright%5D%5Cimplies%20cos%5E%7B-1%7D%280%29%3Dx-%5Ccfrac%7B%5Cpi%20%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0Ax-%5Ccfrac%7B%5Cpi%20%7D%7B2%7D%3D%0A%5Cbegin%7Bcases%7D%0A%5Cfrac%7B%5Cpi%20%7D%7B2%7D%5C%5C%5C%5C%0A%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%0A%5Cend%7Bcases%7D)
In a fish tank 8over11 of the fish have a red stripe on them if 16 of the fish have stripes, how many total fish are
2 answers:
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Step-by-step explanation:
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make the equation equal to 0
Answer:
The correct option is B.
Step-by-step explanation:
Let the boxes of nuts be x and the boxes of bolts by y.
The weight of nut box is 100 kg and the weight of bolt box is 200 kg.The maximum weight the company’s cargo container can hold is 24,000 kilograms.
.... (1)
The company needs to transport a minimum of 160 boxes per cargo container.
.... (2)
Plot the above inequalities on the coordinate plane.
The related equations are
.... (3)
.... (4)
The x-intercept of equation 3 is (240,0) and the y-intercept is (0,120).
The x-intercept of equation 4 is (160,0) and the y-intercept is (0,160).
Check the inequality by (0,0).
This statement is true, therefore the shaded region of inequality (1) contains (0,0).
\
This statement is false, therefore the shaded region of inequality (2) does not contains (0,0).
Therefore graph (2) represents the solution and option B is correct.
