Answer:
96 cm³
Step-by-step explanation:
V=1/2×6×8×4=196/2=96cm³
Hello there!
To find the increasing intervals for this graph just based on the equation, we should find the turning points first.
Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3
Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x
This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.
This means that the interval by which this parabola is increasing is...
(-∞,3/2)
PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.
I really hope this helps!
Best wishes :)
Given:
32 and 28 are the two numbers.
To find:
(a) The GCF of 32 and 28.
(b) Using the GCF, find the factor of (32-28).
Solution:
(a)
The factor forms of the given numbers are:
It is clear that, 2 and 2 are the common factors in both.
Hence, the GCF of 32 and 28 is 4.
(b)
Using the GCF we need to find the factor of (32-28).
Taking out the GCF, we get
Hence, .
26 is 40 percent of x
Make "is" an = sign and "of" a × sign
26 = 40% × x
rewritten: convert 40% into a decimal by moving the decimal twice to the left
26 = .40x
Divide both sides by 0.40.
x = 65
D) 65
