Given:
The expression is
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
We know that,
Using this formula, the given expression can be written as
Therefore, the given expression is equivalent to 1.
A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
Answer:
C, 7 1/2
Step-by-step explanation:
12 is 2/3 of 18, therefore 5 is 2/3 of something, so you divide 5 by 2/3 which is 15/2 which is 7 1/2
15-t + 8t = -13
15 + 7t = -13
7t = -13-15
7t = -28
t = -4
4a + 11-a = 2
3a = 2-11
3a = -9
a = -3
