Do you mean y = mx + b instead of y = mc + b? In that case:
b in y = mx + b format is the y-intercept, as this kind of equation is called slope-intercept form.
Answer:
y < -3x + 2
Step-by-step explanation:
The shading is below the line meaning the inequality is less than. Moreover, the line is dashed meaning there is no 'equal to'.
Therefore, the inequality is y < -3x + 2.
Answer:
r = 6.4/(1+sin(θ))
Step-by-step explanation:
As the attachment shows, for the given directrix and eccentricity, the equation is ...
![r=\dfrac{ed}{1+e\sin{\theta}}\\\\r=\dfrac{1.6\cdot 4}{1+1.6\sin{\theta}}\\\\\boxed{r=\dfrac{6.4}{1+\sin{\theta}}}\qquad\text{matches the 2$^{\text{nd}}$ choice}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bed%7D%7B1%2Be%5Csin%7B%5Ctheta%7D%7D%5C%5C%5C%5Cr%3D%5Cdfrac%7B1.6%5Ccdot%204%7D%7B1%2B1.6%5Csin%7B%5Ctheta%7D%7D%5C%5C%5C%5C%5Cboxed%7Br%3D%5Cdfrac%7B6.4%7D%7B1%2B%5Csin%7B%5Ctheta%7D%7D%7D%5Cqquad%5Ctext%7Bmatches%20the%202%24%5E%7B%5Ctext%7Bnd%7D%7D%24%20choice%7D)
Answer: 3/5
Step-by-step explanation: Notice that the fractions that we are comparing in this problem have different denominators. When fractions have different denominators, they are called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 3 and 5 will be the least common multiple of 3 and 5 or 15.
To get a 15 in the denominator of 1/3, we multiply the numerator and the denominator by 5 which gives us 5/15.
To get a 15 in the denominator of 3/5, we multiply the numerator and the denominator by 3 which gives us 9/15.
Notice that we now have like fractions since both fractions have a 15 in the denominator.
To compare like fractions, we simply look at the numerators.
9/15 - 5/15
Since 9 is greater than 5, 9/15 is greater than 5/15.
This means that 3/5 is bigger than 1/3.