They both have the same number and relat togethor
Answer:
Table 3; Blue graph; y = -4; 2x-3y = 7.
Step-by-step explanation:
Table 3 is a linear relationship because the y-coordinates, or outputs, change by the same rate throughout the table. A constant rate of change defines a linear function.
The blue graph is linear because it is a straight line.
The equation y = -4 is linear because it is the equation of a horizontal line at -4. A function with a line for a graph is linear.
The equation 2x-3y = 7 is linear because it is written in standard form of a linear function, Ax+By = C (in this case A = 2, B = -3 and C = 7).
Answer:
1875 arrangements
Step-by-step explanation:
Break-Even is the point when costs are equal to profit.
The cost is 15,000
We need to cover this up with the profit we get from sales.
Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:
25 - 17 = 8
So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??
We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:
Number of Arrangements Needed to Break-Even = 15,000/8 = 1875
After 1875 arrangements, the boutique breaks even.
Answer: 0.6000
Step-by-step explanation:
Given : The annual increase in height of cedar trees is believed to be distributed uniformly between 5 and 10 inches.
Then the probability density function:-
Then , the probability that a randomly selected cedar tree will grow less than 8 inches in a given year will be :-
![P(x\leq8)=\int^8_5f(x)\ dx\\\\=\int^8_5(\dfrac{1}{5})\ dx\\\\=\dfrac{1}{5}[x]^8_5\\\\=\dfrac{1}{5}\times(8-5)=\dfrac{3}{5}=0.6000](https://tex.z-dn.net/?f=P%28x%5Cleq8%29%3D%5Cint%5E8_5f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E8_5%28%5Cdfrac%7B1%7D%7B5%7D%29%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E8_5%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Ctimes%288-5%29%3D%5Cdfrac%7B3%7D%7B5%7D%3D0.6000)
Hence, the probability that a randomly selected cedar tree will grow less than 8 inches in a given year =0.6000
Answer:
x=6/x=-6
Step-by-step explanation:
subtract 5 from each side to isolate the absolute value function
2x=12
divide to isolate the x simplified down all the way// x=6, absolute value will have a positive and a negative answer.
