Answer:
f(x) = - {x}^{2} + 7x - 10
Step-by-step explanation:
The volume (when x = 10) would be 1,000 cubic units (10^3).
Number one is he spent 12 hours driving. number two is it took elizabeth 48 seconds to travel one mile. hope it helps :)
Answer:
The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0
Step-by-step explanation:
Given equation of line as
x + 5 y = 30
Now, equation of line in standard form is y = m x + c
where m is the slope
So, x + 5 y = 30
Or, 5 y = - x + 30
Or, y = - x + 6
So, Slope of this line m = -
Again , let the slope of other line passing through point (1 , 0) is M
And Both lines are perpendicular , So , products of line = - 1
i.e m × M = - 1
Or, M = -
Or, M = - 1 × - =
So, equation of line with slope M and points (1, 0) is
y - = M × (x - )
Or, y - ( 0 ) = × ( x - 1 )
Or, y = x - × 1
Or, y = x -
or, y + = x
Or, 5×y + 1 = x
∴ 5 y + 1 = x
I.e x - 5 y - 1 = 0
Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer
It is given in the statement that the increase in number of scones is same from Robbie till Charlie.
Let us assume that Robbie buy x scones and every boy buys y more scones than the previous ones.
The number of scones for each of the boy can be written as:
Robbie = x
Cameron = x + y
Louis = x + 2y
Tom = x + 3y
Charlie = x + 4y
Total number of scones = 60
So,
Robbie and Cameron's combined total number of scones is three sevenths of the total of Louis, Tom and Charlie. Mathematically this can be stated as:
Using Solving the two equations simultaneously:
This means, Robbie buys 8 scones,
Cameron buys 8 + 2 = 10 scones,
Louis buys 8 + 4 = 12 scones,
Tom buys 8 + 6 = 14 scones,
and Charlie buys 8 + 8 = 16 scones