As you progress in math, it will become increasingly important that you know how to express exponentiation properly.
y = 2x3 – x2 – 4x + 5 should be written <span>y = 2^x3 – x^2 – 4^x + 5. The
" ^ " symbol denotes exponentiation.
I see you're apparently in middle school. Is that so? If so, are you taking calculus already? If so, nice!
Case 1: You do not yet know calculus and have not differentiated or found critical values. Sketch the function </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5). Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?
Case 2: You do know differentiation, critical values and the first derivative test. Differentiate y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:
dy/dx = 6x^2 - 2x - 4 = 0. Reduce this by dividing all terms by 2:
dy/dx = 3x^2 - x - 2 = 0 I used synthetic div. to determine that one root is x = 2/3. Try it yourself. This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1. Again, you should check this.
Now we have 2 roots: -1 and 2/3
Draw a number line. Locate the origin (0,0). Plot the points (-1, 0) and (2/3, 0). This subdivides the number line into 3 subintervals:
(-infinity, -1), (-1, 2/3) and (2/3, infinity).
Choose a test number from each interval and subst. it for x in the derivative formula above. If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.
Ask all the questions you want, if this explanation is not sufficiently clear.
Answer:
Step-by-step explanation:
slope is what is infront of x and y intercept is the number after the slope
**Eddie: $72000/(14yr*12mo)=428.6$/mo+428.6$*(4.7%)/100%
Eddie pays 428.6$/mo+20.14$/mo. If he pays off his loan 6 years earlier he would save: $20.14*6yr*12mo= $1450.08
**Lee: $92000/(14yr*12mo)=547.62$/mo+547.62$*(4.7%)/100%
Lee pays 547.62$/mo+25.74$/mo. If he pays off his loan 6 years earlier he would save: $25.74*6yr*12mo=$1853.28
So its A. <span>Lee would save more, since he has $20,000 more in principal.</span>
The slop would be 1/6.
you put it into slope intercept form (y=mx+b). parallel lines always have the same slope.
Answer:try and solve it yourself
Step-by-step explanation:
