Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first
2 answers:
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We have been given that a rectangle has a height to width ratio of 3:4.5.
Let h be height and w be width of rectangle.
We can set our given information in an equation as:
Now we will substitute h=1 in this equation.
We can see that width of rectangle is 1.5 times height of rectangle.
Our one set of dimensions of rectangle will be: height=1 and width=1.5.
We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.
Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.
Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:
Answer:
There are no solutions for the pair of equations.
The lines are parallel to each other
Step-by-step explanation:
Line Q has a slope of 1/2 and crosses the y axis at 3.
This mean at x=0, y=3
Using the equation of a straight line expression to find the slope
y=mx +c where m is slope and c in the y intercept you can write the equation for Line Q as;
For the Line S , slope is 1/2 and the line crosses the y axis at -2 , which represents the c in the equation y=mx +c
The equation for S will be
Using the graphing tool to plot the two equations for line Q and line S we notice that the lines are parallel .For solutions, they have to intersect.
Answer:
B
Step-by-step explanation:
We can notice that based on the given pattern, the average rate of change from to
, where
, is
.
So, the average rate of change from to
is
.