Answer:
y = -(x + 1)² + 4
Step-by-step explanation:
y = -x² − 2x + 3
First, factor the leading coefficient from the first two terms.
y = -(x² + 2x) + 3
Complete the square.
y = -(x² + 2x + 1 − 1) + 3
Simplify and factor.
y = -(x² + 2x + 1) + 1 + 3
y = -(x + 1)² + 4
If you take 3 inches off each end, that means you will be taking 6 inches off. If you take 6 inches away from 7 1/4 yards ,(7 yards, 9 inches,) you get 7 1/12 yards (7 yards, 3 inches).
(7 1/12) / 5 = 1.426repeating
So each piece of rope will be (Approximately) 1.4 or 1 2/5 yards.
(I think.)
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Answer:
Step-by-step explanation:
see attached to identify which is the tenth's place
How you round the tenth's place depends on the digit in the hundredths place.
If the hundredths digit is less than 5, then you keep the tenths place the same (i.e round down)
If the hundredths digit is greater or equal than 5, then you increase the tenths place by 1 (i.e round up)
