Answer:
Step-by-step explanation:
y + 29 = 3(x+6)
y + 29 = 3x + 18
y = 3x - 11
Mathematical Models
Given a set of two-variable data, we can tell if there is a linear relationship between them by analyzing the change of values of y with respect to the change of values of x.
If the relationship was linear, the change in values of y should be the same when the change in x is equal.
Note that between 2016 and 2017 there was only one year and the value of the house increased by $20,000.
For the next two years, the value increased by $21,000. This means the relationship is not linear.
The possible exponential relationship is also easy to spot. If the ratio between the values of y is constant, then it's an exponential function.
Testing the ratios:
420,000 / 400,000 = 1.05
441,000 / 420,000 = 1.05
463,050 / 441,000 = 1.05
Since the ratio is constant, the growth can be modeled with an exponential function.
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
![\theta=\frac{2\pi}{7} \\\\r=3\ cm](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B2%5Cpi%7D%7B7%7D%20%5C%5C%5C%5Cr%3D3%5C%20cm)
An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.
Since we know the formula for "Length of an arc " , we get
![L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}](https://tex.z-dn.net/?f=L%3Dr%5Ctimes%20%5Ctheta%5C%5C%5C%5CL%3D%5Cfrac%7B2%5Cpi%7D%7B7%7D%5Ctimes%203%5C%5C%5C%5CL%3D%5Cfrac%7B6%5Cpi%7D%7B7%7D)
Hence, Option 'C' is correct.
Answer:
1/2 and 2/4 both are equal to 5/10.
Step-by-step explanation: