Hello from MrBillDoesMath!
Answer:
4( x + 1.5)^2 + 0
Discussion:
4x^2 + 12x + 9 = => factor "4" from first 2 terms
4 (x^2 + 3x) + 9 = => complete the square, add\subtract (1.5)^2
4(x^2 + 3x + (1.5)^2) - 4 (1.5)^2 + 9 =
4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) = => as (1.5)^2 = 2.25
4 ( x + 1.5)^2 + ( 9 - 4(2.25)) = => as 4 ( 2.25) = 9
4 ( x+ 1.5)^2 + 0
Thank you,
MrB
Answer:
B
Step-by-step explanation:
It's most probably B
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
Answer:
The expression that shows how long the two machines will operate simultaneously is:

Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:

So, the remaining decks are given by:

Then, the combined rate of machines A and B would be:

The work-rate formula is:

Hence, the time that the two machines work simultaneously is:


Answer:
A. 103 degrees
B. 77 degrees
C. 60 Degrees
Step-by-step explanation:
A. Triangles' interior angles add up to 180, so if you already have 2 angles you just need to put them together, and subtract them from 180.
47+30=77
180-77=103
B. Lines also are 180, so 103-180=77
C. Interior angles of a triangle add up to 180, so 180/3 is how you get your answer.