Step-by-step explanation:
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When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
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We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
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Move SP to right hand side and change it's sign :
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This is how , CP can be obtained when we are given loss and SP.
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3/2 - x = -12
(multiply everything by 2 to get rid of fraction)
3-2x= -24
3+24 = 2x
3/2 + 12 = x
Answer: -3/7
Step-by-step explanation:
The first step is to find the slope of the line
y = mx + c where m is the slope of the line
Rearrange the equation and we get
3y = 7x + 7
y = 7x/3 + 7/3
So the slope of the line 7x - 3y = -7 is 7/3
There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1
So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7
Evaluate using the discriminant (the part of the quadratic equation under the square root sign) b²-4ac
In your equation, a=1, b=(-2), and c=(-8)...substitute their values into the discriminant:
(-2)²-4(1)(-8)
4+32 = 36
The value is positive, therefore the equation has two real roots.
It's a perfect square (√36=6) so the roots are rational
Answer: two real, rational roots
(If the result was a negative number, the system would have two irrational roots. If the result was zero, the system would have a <em>double root </em>(one value repeated twice - when graphed, the vertex of the parabola falls on the x-axis)∨<em />
