Subtract -9 from both sides.
x2+6x−(−9)=−9−(−9)
x2+6x+9=0
Factor left side of equation.
(x+3)(x+3)=0
Set factors equal to 0.
x+3=0 or x+3=0
x=−3
Answer:
x=−3
Hi there!
First we need to remember the following.
Now substitute both of the formulas.
Work out the parenthesis.
And finally collect terms.
~ Hope this helps you!
If the price of paper increases by a lot, then book producers would respond by supplying less books.
Answer:
Step-by-step explanation:
We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.
Now lets translate the words into algebra:
"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32
"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75
There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:
3s + z = 0.75
-3s -3s
------------ -------------
z = -3s +0.75
Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:
5s + 2(-3s + 0.75) = 1.32
Can you handle it from here?
(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)
