We are given with the equation y = x^3 -9x^2 - 16x +1. It is said that when the slope is 5, there are two points tangent to the graph. the slope is equal to the y'.y' = 3x2 -18x -16 = 5 3x2 -18x - 21 = 0x1 = 7 and x2 = -1The two points are (7,-209) and (-1,7)
Answer:
![m =5](https://tex.z-dn.net/?f=m%20%3D5)
Step-by-step explanation:
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The "<em>constant rate of change</em>" is also known as the slope (in straight line equations).
The equation is in <em>slope-intercept form</em>.
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<em>Slope-Intercept Form is: </em>
<em></em>![y = mx + b\\ \rule{150}{0.5}\\ \text{m - slope}\\ \text{b - Y-Intercept}](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%5C%5C%0A%5Crule%7B150%7D%7B0.5%7D%5C%5C%0A%5Ctext%7Bm%20-%20slope%7D%5C%5C%0A%5Ctext%7Bb%20-%20Y-Intercept%7D)
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<em>Since '5' takes up 'm's spot, it is the slope, or the constant rate of change. </em>
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<em>Hope this helps.</em>
Answer:
1/9
Step-by-step explanation:
The probability of picking a even number is 1/3
The probability of picking another even number is 1/3(if u put the first one back)
So u multiply 1/3 times 1/3 which gives u 1/9 which is ur answer hope this helps
Hello,
A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2
Slope of the perpendicular: 1
y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.
Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q
|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....
Answer:
What is the area? 266 square inches
Step-by-step explanation:
the area = 19 × 14
the area = 266 square inches