Answer:
y=1.3 x - 0.21
Step-by-step explanation:
![y = (slope) \times x + (constant)](https://tex.z-dn.net/?f=y%20%3D%20%28slope%29%20%5Ctimes%20x%20%2B%20%28constant%29)
set (-2.3,-3.2) in above
![- 3.2 = 1.3 \times ( - 2.3) + c](https://tex.z-dn.net/?f=%20-%203.2%20%3D%201.3%20%5Ctimes%20%28%20-%202.3%29%20%2B%20c)
then c=-0.21
Answer: She could create 60 platters.
Step-by-step explanation:
Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.
Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-
![^nC_r=\dfrac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
So, the number of combinations of selecting 2 different vegetables from 6 = ![^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cdfrac%7B6%21%7D%7B2%214%21%7D%3D%5Cdfrac%7B6%5Ctimes5%7D%7B2%7D%3D15)
Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)
= 15 x 4
= 60
Hence, she could create 60 platters.
Answer:
360 is the LCM of 4,6,10 and 12
√z = 13 - 8
√z = 5
z = 5²
z = 25
In this case the z can be any number, however z cannot be less than 0 and that is the restriction. (for example; √-1 = irrational number, cannot be solved.)
In this question the main part is to convert the kilometer to miles and
then writing the answer to the nearest tenth of a mile. the information
given in the question is that the race is for a distance of 5
kilometers.
Now we already know
1 km = 0.6214 mile
Then
5 km = ( 0.6214 * 5) miles
= 3.107 miles
= 3.11 miles
So
the actual distance when converted to miles will be 3.11 miles. I hope
this is the answer you were looking for. This is the simplest way for
doing such problems and in future you can follow this method to find the
answers without the need of any help.