Answer:
(2, 1).
Step-by-step explanation:
x^2 - 4x + 5 = 0
(x - 2)^2 - 4 + 5 = 0
(x - 2)^2 + 1 = 0
The vertex is at (2, 1).
10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181
The discount is $1.19 unless you have to round up than it is $1.20. in order to solve this problem you would set up a proportion. So your proportion would be x over 7.99 = 15 over 100. Than you would cross multiply. 7.99*15=119.85. and 100*x=100x. than u divided both sides by a 100. than x= 1.19. which 1.19 is the discount.
The answer is x is less than 1.
You need to find the least common denominator first which is 4. 3 3/4 can stay the same but you must have like denominators to add so change 1 1/2 to 1 2/4 by multiplying by 2/2. You know have like denominators and you can add whole numbers first 3+1=4 and then the fractions 3/4+2/4= 5/4 which is also 1 1/4. Now you add 4 so your answer is 5 1/4