Find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!
Answer:
∴(x+5)(x+3) =x²+8x+15
Step-by-step explanation:
Standard form of a polynomial:
Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.
Example:
Given,
(x+5)(x+3)
=x(x+3)+5(x+3)
=x²+3x+5x+15
=x²+8x+15
∴(x+5)(x+3) =x²+8x+15
The degree of the polynomial is 2 and is a one variable polynomial.
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Reflection across the y-axis, one unit down, one unit to the right.
Hope It Helps!
