Answer:
A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points. Since complex roots always occur in pairs, a cubic function always has either 1 or 3 real zeros. It cannot have 2 real zeros.
Step-by-step explanation:
Answer:
is 58
Step-by-step explanation:
Answer:
![M = \frac{1}{8}t -223. 05](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B8%7Dt%20-223.%2005)
Step-by-step explanation:
The slope-intercept form of the equation of a line is:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where m is the slope of the line and b is the intercept with the y axis.
![m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{26.7-23.2}{1998 - 1970}\\\\m = \frac{1}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B26.7-23.2%7D%7B1998%20-%201970%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
So:
![y = \frac{1}{8}x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B8%7Dx%20%2B%20b)
To find b we take the point (1970, 23.2) and introduce it in the previous equation.
![23.2 = \frac{1}{8}(1970) + b\\\\23.2 - 246.25 = b\\\\b = -223. 05](https://tex.z-dn.net/?f=23.2%20%3D%20%5Cfrac%7B1%7D%7B8%7D%281970%29%20%2B%20b%5C%5C%5C%5C23.2%20-%20246.25%20%3D%20b%5C%5C%5C%5Cb%20%3D%20-223.%2005)
Then the equation is:
![M = \frac{1}{8}t -223. 05](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B8%7Dt%20-223.%2005)