Solve for x. Round to the nearest tenth of a degree, if necessary.
1 answer:
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Changing the equation into slope form: 
, where 
is the slope [gradient] and 
is the y-intercept.
The gradient is
and y-intercept is at 
Graphing using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
So, x-intercept is at (735, 0)
The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735
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Next month's profit equation
Rewriting this into slope-equation form
The gradient,, equals to
The y-intercept,, equals to 531
The equation still has the same gradient with last month's profit equation but different y-intercept.
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A linear graph show points of (0, 300) and (450, 0)
We work out the slope:
Y-intercept at x = 0, so it's at y = 300
Equation
The gradient is
Graphing
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
So, x-intercept is at (735, 0)
The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735
-----------------------------------------------------------------------------------------------------------
Next month's profit equation
Rewriting this into slope-equation form
The gradient,
The y-intercept,
The equation still has the same gradient with last month's profit equation but different y-intercept.
-------------------------------------------------------------------------------------------------------------
A linear graph show points of (0, 300) and (450, 0)
We work out the slope:
Y-intercept at x = 0, so it's at y = 300
Equation
The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9
Step-by-step explanation:
The formula of the average of a set of data is , where
- S is the sum of the data in the set
- N is the number of the data in the set
∵ The low temperatures in Anchorage, Alaska, for a week were
− 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius
∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}
- Add the data in the set
∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14
∴ S = -35
∵ The set has 7 data
∴ N = 7
- Use the formula of the average above to find it
∴
∴ A = -5
∴ The average of the original set of numbers is -5
To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum
∵ The number of data after removing two numbers is 5
∴ N = 5
∵ A = -5
- By using the rule of average
∴
- Multiply both sides by 5
∴ -25 = S
∴ The new sum is -25
- Lets find which two numbers of have a sum of -10 because
the difference between -35 and -25 is -10
∵ -1 + -9 = -10
∵ -6 + -3 + 1 + -3 + -14 = -25
∴ We could removed -1 and -9
The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9
Learn more:
You can learn more about the average in brainly.com/question/10764770
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