This equation uses two properties of logarithms:
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
Answer:
See explanation and attachment.
Step-by-step explanation:
One of the ways to represent polynomial is the use of algebraic tiles.
To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.
Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.
The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.
Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.
Find attached the diagram for the tiles.
To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.
Multiply base x height then divide by 2 if finding surface are if finding volume multiple base x height x width and divide by 3
Answer: Ella got the highest mark
Step-by-step explanation:
camilla got 160/200 because 200 divided by 5 = 40
lincoln got 88/200 because 44% of 200 is 88
ella got 198/ 200
Answer:
16x - 48y +24
Step-by-step explanation:
We can use the distributive property to expand:
- 8(2x - 6y + 3)
- 8 x 2x - 8 x 6y + 8 x 3
- 16x - 48y + 24
Hope this helps!!
