Answer:
1. y = 9(x+1/2)^2 -13/4
Step-by-step explanation:
y = 9x^2 + 9x – 1
first isolate the x terms
y = 9(x^2 +x) -1
then add 1/4 inside the brackets to make it a perfect square trinomial (half of the coefficient of the x term squared is how we get 1/4)
since we just added 1/4 we need to subtract what we just added to balance the equation. so 1/4 times 9 is 9/4 ( the number we just added to the equation). then you subtract 9/4 outside of the brackets.
y = 9(x^2 +x +1/4) -1 -9/4
then simplify
y = 9(x+1/2)^2 -13/4
Answer: 1/3
Step-by-step explanation:
From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.
The amount of pizza that Pranav ate on Tuesday will be:
= 1/2 × 2/3
= 1/3
She ate 1/3 on Tuesday
Answer:
10
Step-by-step explanation:
2/3 can be multiplied by 5 to equal 15ths since we can know 15 (seconds number fraction) is 5 times the originals (first numbers fractions)
This equals to 10/15 and means that with 1/15th on each 10 sandwiches can be made.
The answer gives it straight forward but explanation gets in depth
Edit: I saw your answer and yes it equals 10 but you multiply what it is a fraction of too.
2/3
x5
10/15
Hope that helps some more
Each piece will be 1/9 of the total length of the original board.
1/9 of 8 ft is <em>8/9 foot</em>.
That's the same as <em>(10 and 2/3) inches</em>.
11= x because if you simply the question you get 13= x+ 2 and then you subtract 2 from each side and cross out the 2 from 2/2 and get left with 11=x
