Answer:
n = 18
Step-by-step explanation:
Hi there!
Isolate <em>n</em> by multiplying both sides by 30:
Simplify the fraction:
I hope this helps!
If (x+2) is a factor of 3x^2+14x+k, the equation must equal zero when x=-2 so:
3(-2)^2+14(-2)+k=0
12-28+k=0
-16+k=0
k=16
Answer:
A discrete graph is a graph that is composed of distinct isolated points. A discrete graph has space between possible data values
Step-by-step explanation:
i hope this helps :)
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
Answer is D
b - 1/5
hope it helps
