Answer:
1) (x + 3)(3x + 2)
2) x= +/-root6 - 1 by 5
Step-by-step explanation:
3x^2 + 11x + 6 = 0 (mid-term break)
using mid-term break
3x^2 + 9x + 2x + 6 = 0
factor out 3x from first pair and +2 from the second pair
3x(x + 3) + 2(x + 3)
factor out x+3
(x + 3)(3x + 2)
5x^2 + 2x = 1 (completing squares)
rearrange the equation
5x^2 + 2x - 1 = 0
divide both sides by 5 to cancel out the 5 of first term
5x^2/5 + 2x/5 - 1/5 = 0/5
x^2 + 2x/5 - 1/5 = 0
rearranging the equation to gain a+b=c form
x^2 + 2x/5 = 1/5
adding (1/5)^2 on both sides
x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2
(x + 1/5)^2 = 1/5 + 1/25
(x + 1/5)^2 = 5 + 1 by 25
(x + 1/5)^2 = 6/25
taking square root on both sides
root(x + 1/5)^2 = +/- root(6/25)
x + 1/5 = +/- root6 /5
shifting 1/5 on the other side
x = +/- root6 /5 - 1/5
x = +/- root6 - 1 by 5
x = + root6 - 1 by 5 or x= - root6 - 1 by 5
B - Negotiating.
This is because they are communicating, they haven't yet agreed to anything or committed to the contract as neither parties have signed, thus leading to both C and D to be incorrect.
A, however, is not exactly a term used for this situation - contracting is more of a term used to say someone contracted a disease or the flu or etc.
Therefore, B would be correct as they are indeed negotiating the terms of the contract.
Hope this helps!
Answer:
2x^2+2y^2+4y would be your answer
Step-by-step explanation:
9514 1404 393
Answer:
x = 22.5
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
x/30 = 24/32
x = 30(24/32)
x = 22.5
Answer:

Step-by-step explanation:
We are given the function:

We want to find f(3), so we must substitute 3 in for x.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve the exponent first.

Multiply 8 and 3.

Add.

For the function given, f(3) is 30.