Step-by-step explanation:
Solution given;
cost price=Rs125
profit%=?
we have
profit%=[Selling price-cost price]/cost price×100%
=[selling price-Rs.125]/Rs 125×100% is your answer
Answer:
8a+13b
Step-by-step explanation:
First start by multiplying the coefficient with the parantheses.
3(2a+3b)+2(a+2b)
6a+9b+2a+4b
8a+13b
This equation cannot be further simplified.
Answer:
False
Step-by-step explanation:
When you say "slope", Im guessing your referring to the gradient (the steepness of the line).
If two lines have the same gradient their equations won't usually describe the same line because their 'y intercepts' will be different (the point in which the line crosses the y axis)
Answer:
The equation for your graph is Y=2x+1
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
