Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
Answer:
x + 2
Step-by-step explanation:
If we know one of the factors, we should be able to use long division.
We can divide the trinomial by the binomial and find the other factor.
<u>x + 2</u><u> </u>
x² + 4x + 3)x³ + 6x² + 11x + 6
<u>x³ + 4x² + 3x</u>
2x² + 8x + 6
<u>2x² + 8x + 6</u>
0
Thus,
![\dfrac{x^{3} + 6x^2 + 11x + 6} {x^{2} + 4x + 3} = \mathbf{x + 2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E%7B3%7D%20%2B%206x%5E2%20%2B%2011x%20%2B%206%7D%20%7Bx%5E%7B2%7D%20%2B%204x%20%2B%203%7D%20%3D%20%5Cmathbf%7Bx%20%2B%202%7D)
Answer:
<em>Bethany did not do better than Richie because her average score was less than his.</em>
Step-by-step explanation:
<u>Average Value</u>
The average or mean value of m successes out of n tries is given by:
![\displaystyle \bar x=\frac{m}{n}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7Bm%7D%7Bn%7D)
During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:
![\displaystyle \bar x=\frac{12}{15}=0.8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7B12%7D%7B15%7D%3D0.8)
Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:
![\displaystyle \bar x=\frac{8}{11}=0.72](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7B8%7D%7B11%7D%3D0.72)
Bethany did not do better than Richie because her average score was less than his.
When you're counting inclusively, you subtract the numbers and add one. Here, it's 89-52+1=38 numbers.