Answer:
A. 40%
Step-by-step explanation:
Model with an equation
50x = 20
Isolate x
x = 20/50
Simplify
x = 2/5
x = 0.4
Convert the decimal to a percentage (move decimal two places to the left)
0.4 = 40%
The Vertex of the parabola is V=(-5,-2)=(h,k)→h=-5, k=-2
This is a vertical parabola, then its equation has the form:
y=a(x-h)^2+k
Relacing h=-5 and k=-2
y=a(x-(-5))^2+(-2)
y=a(x+5)^2-2
When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation:
a=?
x=-4, y=2→2=a(-4+5)^2-2
2=a(1)^2-2
2=a(1)-2
2=a-2
2+2=a-2+2
4=a
a=4
Answer: The coefficient of the squared expression in the parabola's equation is 4
Answer: Option B. 4
Answer:
64
Step-by-step explanation:
The volume of a cubic box with side length of s inches can be calculated using the following formula
If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)
Therefore the final and new volume is
64
Answer:
W1 = W2 = 50k Joules (assuming W1 and W2 have the same force constant, k)
W1 - W2 = 0
Step-by-step explanation:
Work done in stretching a spring is given by 1/2ke^2
Where, k is force constant and e is extension
e1 = 30cm - 20cm = 10cm
W1 = 1/2k(e1)^2 = 1/2×k×10^2 = 50k Joules
e2 = 40cm - 30cm = 10cm
W2 = 1/2k(e2)^2 = 1/2×k×10^2 = 50k Joules
W1 = W2 = 50k Joules provided W1 and W2 have equal force constant
Therefore, W1 - W2 = 0
ANSWER
Yes,
is the restriction.
EXPLANATION
The given function is
This is a logarithmic function that is defined for
The reason is that, the logarithmic functions are not defined for negative values of x and 0.
Therefore the argument must always be positive.
When we solve the above inequality, we get,
Therefore the the restrictions is that,
This is also the same as the domain of the function.