Answer:
<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>
Step-by-step explanation:
![f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D%5C%5C%5C%5Cf%28-8%29%3D%5Csqrt%5B3%5D%7B-8%7D%3D-2%5Cto%28-8%2C%5C%20-2%29%5C%5C%5C%5Cf%280%29%3D%5Csqrt%5B3%5D%7B0%7D%3D0%5Cto%280%2C%5C%200%29%5C%5C%5C%5Cf%288%29%3D%5Csqrt%5B3%5D%7B8%7D%3D2%5Cto%288%2C%5C%202%29%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7Ba%7D%3Db%5Ciff%20b%5E3%3Da%5C%5C%5C%5C%5Ctext%7BTherefore%3A%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B-8%7D%3D-2%5C%20%5Ctext%7Bbecause%7D%5C%20%28-2%29%5E3%3D-8%5C%5C%5Csqrt%5B3%5D0%3D0%5C%20%5Ctext%7Bbecause%7D%5C%200%5E3%3D0%5C%5C%5Csqrt%5B3%5D%7B8%7D%3D2%5C%20%5Ctext%7Bbecause%7D%5C%202%5E3%3D8)
Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
Answer:
The distance is the absolute value of the difference
Step-by-step explanation: