Answer:
h=s+2 because to find haileys age you have to subtract two to her sisters name which is what s represents so whatever 2+s eqauls is h haileys age
Step-by-step explanation:
Answer: An inequality
Step-by-step explanation:
An inequality is a mathematical sentence written with a greater than
sign, or less than sign, or equal to sign or not equal to sign or more than two of these signs at the same time to join two expressions.
Answer:
B
Step-by-step explanation:
Subtracting v - q, will be subtracting the atmosphere to the sun - surface to the sun.
The answer will be negative distance of the atmosphere.
However, we cant really have a 'negative' atmosphere, this is where the |absolute value| signs make this problem correct.
Answer:
x-intercept of the graph of the function
is, ![(\frac{\pi}{6} \pm \frac{n\pi}{3} , 0)](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Cpi%7D%7B6%7D%20%5Cpm%20%5Cfrac%7Bn%5Cpi%7D%7B3%7D%20%2C%200%29)
Step-by-step explanation:
Given the function:
......[1]
x-intercept defined as the graph crosses the x-axis.
Substitute value of y = 0 in [1] and solve for x;
or
Take the inverse cotangent of both sides of the equation and solve for x;
3x = arccot (0)
We know the exact value of ![arc\cot(0) = \frac{\pi}{2}](https://tex.z-dn.net/?f=arc%5Ccot%280%29%20%3D%20%5Cfrac%7B%5Cpi%7D%7B2%7D)
then;
![3x = \frac{\pi}{2}](https://tex.z-dn.net/?f=3x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B2%7D)
Divide both sides by 3 we get;
![x = \frac{\pi}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%5Cpi%7D%7B6%7D)
Since, the cotangent function is positive in the first and third quadrants.
The period of the function
is
so values will repeat every
radians in both directions.
we have;
![x =\frac{\pi}{6} \pm \frac{n\pi}{3}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B%5Cpi%7D%7B6%7D%20%5Cpm%20%5Cfrac%7Bn%5Cpi%7D%7B3%7D)
Therefore, the x-intercept of the graph of the function
is ;
for every integer n;