You could simplify this work by factoring "3" out of all four terms, as follows:
3(x^2 + 2x - 3) =3(0) = 0
Hold the 3 for later re-insertion. Focus on "completing the square" of x^2 + 2x - 3.
1. Take the coefficient (2) of x and halve it: 2 divided by 2 is 1
2. Square this result: 1^2 = 1
3. Add this result (1) to x^2 + 2x, holding the "-3" for later:
x^2 +2x
4 Subtract (1) from x^2 + 2x + 1: x^2 + 2x + 1 -3 -1 = 0,
or x^2 + 2x + 1 - 4 = 0
5. Simplify, remembering that x^2 + 2x + 1 is a perfect square:
(x+1)^2 - 4 = 0
We have "completed the square." We can stop here. or, we could solve for x: one way would be to factor the left side:
[(x+1)-2][(x+1)+2]=0 The solutions would then be:
x+1-2=0=> x-1=0, or x=1, and
x+1 +2 = 0 => x+3=0, or x=-3. (you were not asked to do this).
Answer:
The miles-per-gallon rating of this car is 20.83.
Step-by-step explanation:
This question can be solved by a rule of three.
What is the miles-per-gallon rating of this car?
How many miles for 1 gallon?
4.8 gallons are used for 100 miles. So
4.8 gallons - 100 miles
1 gallon - x miles
The miles-per-gallon rating of this car is 20.83.
Answer:
Convert 15
% to a decimal.
Then multiply 0.15 x 13450. That means the answer is $2,017.50
Please mark brainliest if this helped.
Answer:
15
Step-by-step explanation:
a^2+b^2=c^2
y^2+8^2=17^2
Step 1: Simplify both sides of the equation.
y^2+64=289
Step 2: Subtract 64 from both sides.
y^2+64−64=289−64
y^2=225
Step 3: Take square root.
y=15
