Let us examine the given statements:
1. Over the interval [-2.5, 0.5], the local maximum is 2.
TRUE
2. As the x-values go to positive infinity, the function's values go to
negative infinity.
The opposite happens.
FALSE
3. The function is decreasing over the interval (-1, 0.75).
The function decreases in (-1, 0), but it increases in (0, 0.75).
FALSE
4. The function is negative for the interval [-2, 0].
The function is positive in [-2, -1). It is negative only in (-1, 0].
FALSE
The only thing in the question I am not totally certain about is the definition of a 'zero' on a polynomial - I will assume this means an x-intercept, which seems to make sense since these are the points where the value of the function is zero.
Taking the first polynomial: the maximum number of turning points for a polynomial of order n is (n-1). Take the example of a quadratic, which always has 1 turning point. Therefore the minimum order of the first polynomial is 6.
The maximum number of x-intercepts for a polynomial of order n is n. Therefore the second polynomial has a minimum order of 6.
Multiplication of two polynomials can get very messy very quickly. However, picture putting the two in brackets next to each other, such that the terms are in decreasing orders. You can easily see the maximum order term is found by multiplying the first term in each bracket. A polynomial's order is judged solely on the maximum power of the variable, so this is all we need to consider.
This multiplication becomes ax^6 * bx^6 where a and b are arbitrary constants in this context. Hence this product is abx^12 (exponents add when the terms are multiplied, where 12 = 6 + 6), so minimum degree of new polynomial = 12
Answer:
radians per minute.
Step-by-step explanation:
In order to solve the problem you can use the fact that the angle in radians of a circumference is 2π rad.
The clock can be seen as a circumference divided in 12 equal pieces (because of the hour divisions). Each portion is 
So, you have to calculate the angle between each consecutive hour (Let ∅ represent it). It can be calculated dividing the angle of the entire circumference by 12.
∅=
Now, you have to find how many pieces of the circumference are between 12 and 4 to calculate the angle (Because 4 o'clock is when the minute hand is in 12 and the hour hand is in 4)
There are 4 portions from 12 to 4, so the angle (Let α represent it) is:
α= 
But the answer is asked in radians per minute. So you have to divide the angle by the amount of minutes between the hands of the clock at 4 o'clock.
There are 60 divisions in a clock for representing minutes, therefore in every portion there are:
minutes
So, from the 12 mark to the 4 mark there are 20 minutes
The angle per minute is:
α= 
rad/min
Notice that the minimum angle is the angle mesured clockwise.
Answer:
Ok but what is this for
Step-by-step explanation:
Answer:
Jersey cost (without discount)= $65
Step-by-step explanation:
<u>First, we need to determine how much he spent on the jersey:</u>
Jersey cost (with discount)= 83.39 - 37.89
Jersey cost (with discount)= $45.5
<u>Now, the original cost of the jersey:</u>
Jersey cost (without discount)= discount cost / (1 - discount)
Jersey cost (without discount)= 45.5 / 0.7
Jersey cost (without discount)= $65
