Answer:
D
Step-by-step explanation:
We assume the rotation R is <em>counterclockwise</em> 60°.
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The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.
When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.
The point 120° clockwise from B is D.
The desired image point is D.
Step-by-step explanation:
When -16t² + 32t + 75 < 75, -16t² + 32t < 0.
=> 16t(2 - t) < 0, t < 0 or t > 2.
However t < 0 is rejected as time cannot be a negative value. Hence the solution in interval notation is (2, ∞).
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?
<span>Answer: the third option (12 zeroes..). </span>
<span>Use ^ to denote an exponent.. </span>
<span>f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23.. </span>
<span>We know from that fact that the number of zeroes (real or complex) in a polynomial is the same as the degree of the polynomial.. </span>
<span>The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..).. </span>
<span>The degree is 12, thus it means there are 12 zeroes.. </span>
<span>Answer: the third option (12 zeroes)...</span>
Answer:
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