9/12 is the answer, you can't simply then down anymore
Let number of senators = x, then:-
number of representatives = 5x - 25 so
x + 5x - 25 = 515
6x = 540
x = 90
number of reps = 515 - 90 = 425
so there are 90 senators and 425 representatives.
we will draw the graph according to the given constraints
NOTE: when we draw the graph from constraints inequalities becomes equalities just to draw the graph
Given constraints are:
Now we draw the graph of given constraints using graphing calculator. Please see the attachment for the graph. Shaded region is the feasible region
A terminating decimal is a number with a finite number of decimals that does not continue endlessly. We'd like to know whether the decimal value obtained by dividing the fraction 5/6 (5 6) is terminating or non-terminating.
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
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In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
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Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
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Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
