Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1
Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.
Answer:
Length of rectangular lawn =72 meters
Breadth of rectangular lawn =18 meters
Perimeter of rectangle =2(Length+Breadth)
So, Perimeter of rectangle =2(72+18)=2(90)=180 meters
If three shrubs can be planted in a meter of hedge.
Then, Number of shrubs planted in whole perimeter will be=3×180=540
Step-by-step explanation:
Answer: (13.4996, 32.5004)
Step-by-step explanation:
The confidence interval for mean difference is given by :-
,
where
= sample mean difference .
= critical t value (two-tailed)
SE= Standard error.
Given :

SE= 4.2
Now, the confidence interval for mean difference will be :-
Hence, the required confidence interval : (13.4996, 32.5004)
I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.
You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.
hope I helped ^^
Hello from MrBillDoesMath!
Answer:
(g o f)(0) cannot be evaluated
Discussion:
(g o f)(0) = g ( f(0)) if it exists but f(0) is not defined (as division by zero is not defined) so
(g o f)(0) cannot be evaluated
Thank you,
MrB