Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following
x²-3-2x
Rearranging the formula to make factoring easier, we get
x²-2x-3
Factor and you should get the following:
(x-3)(x+1)
set both equal to 0 and solve for x.
x-3=0⇒x=3
x+1=0⇒x=-1
Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.
For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2
Ergo, the equations y=2x and y=x²-3 intersect at
(3,6) and (-1,-2)
Step-by-step explanation:
-2+8 is the same as 8-2 which equals 6.
Greetings!
"Write and solve an equation to determine how many servings of this item ...exactly 45 grams of cholesterol"...
The
variable in this equation would be the
amount of servings she can eat of the items.
Lets represent this as

;

=amount of servings
The item has
30 mg of cholesterol and she wants to only consume
45 mg.
The equation would be:

Solve for
x.
Divide both sides by
30.

Simplify.

Alisa can consume
1.5 servings of the item each day.
Hope this helps.
-Benjamin
Answer:
The inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.
Step-by-step explanation:
From the information provided, you can write an inequality where total cost for people attending at the party should be less than or equal to $300:
3.50p+5.00p≤300
8.50p≤300
Now, you can solve for p:
p≤300/8.50
p≤35
According to this, the answer is that the inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.