A triangle has coordinates A (1, 5), B (-2, 1) and C (0, -4). What are the new coordinates if the triangle is dilated with a sca
1 answer:
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The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0
- Change in weight per day of hibernation = - 0.03
- Change in weight for 115 days = - 3.45 ounces
A linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
- y = - 0.03x + 0
- y = change in weight
- x = number of days of hibernation
- Intercept = 0
- Slope = -0.03
- The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.
- Using the regression equation, substitute, the vlaue of x = 115
- -0.03(115) + 0 = - 3.45
Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.
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Answer:
The number of people who ordered steak dinner is 5
The number of people who ordered chicken dinner is 2
Step-by-step explanation:
Given as :
The total number of people went for the dinner = 7
The total bill price for the dinner = $ 109
The price for the chicken dinner = $ 12
The price for the steak dinner = $ 17
Let The number of people who ordered chicken dinner = c
And The number of people who ordered steak dinner = s
Now, According to question
The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner
Or, c + s = 7
And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner × The number of people who ordered steak dinner
Or, $ 12 × c + $ 17 × s = $ 109
Now, solving the equations
$ 12 × ( c + s ) = $ 12 × 7
Or, $ 12 × c + $ 12 × s = $ 84
Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84
Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25
Or, ( 0 ) + ( $ 5 s ) = $ 25
∴ s =
I.e s = 5
So, The number of people who ordered steak dinner = s = 5
Put the value og s in Eq A
∵, c + s = 7
or, c = 7 - s
Or, c = 7 - 5
I.e c = 2
So , The number of people who ordered chicken dinner = c = 2
Hence The number of people who ordered steak dinner is 5
And The number of people who ordered chicken dinner is 2 Answer