The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
<h3>What is a directrix?</h3>
A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.
As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.
As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.
Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
Learn more about Directrix:
brainly.com/question/2629634
The LCD = 6x^2y^3 ( because LCD of 3 and 6 = 6, LCD of x^2 and x = x^2 and LCD of y and y^3 = y^3)
now divide 3x^2y into the LCD then multiply this by 5 to get the first term in the numerator and do similar process to get second term, so we get:-
5(2y^2) - 4(x)
------------------
6x^2y^3
= 2( 5y^2 - 2x)
-----------------
6x^2y^3
= 5y^2 - 2x
-----------
3x^2y^3
Ralph hires 8 workers
What is variable cost ?
Variable costs are expenses that alter as the volume of a good or service a company produces fluctuates. Marginal costs multiplied by the number of units produced make up variable costs. They can be regarded as typical expenses as well. Total cost is divided into two parts: fixed costs and variable costs.
Workers paid = $100
Assuming $1600 is given as a Total cost for the 2000 quantity for chicken and Fixed cost is $800
Total cost = $1600 out of which $800 is the fixed cost
Variable cost = Total cost - Fixed cost
= 1600 - 800
= 800
Numbers of workers hired = Variable cost / Workers pay
Numbers of workers hired = 800 / 100
Numbers of workers hired = 8
Therefore, the number of workers that Ralph hires is 8 workers
To learn more about variable cost from the given link
brainly.com/question/14313017
#SPJ4
Answer:
Donuts(b) = 12*b
Step-by-step explanation:
Notice that the question is:
What's an expression to model the number of donuts in b boxes?
We know that we are talking of boxes of a dozen donuts.
We know that in one dozen, we have 12 donuts.
Then if we have b boxes, and in each box we have 12 donuts, we will have a total of b times 12 donuts, the expression is:
Donuts(b) = 12*b
There is a lot of information here that we did not use (like the cost of cardboard and donuts), and that may be there just to distract us, the important thing to do here is:
See what is the thing we want to find (in this case, the number of donuts in b boxes)
Find the relevant information to solve this. (ignore the irrelevant information)
Solve the question.
Answer:
A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.
