Answer:
5,400
Step-by-step explanation:
Step-by-step explanation:
Transformations of graphs are fairly simple. Start with a parent function, or g(x) = f(x).
To move the graph UP or DOWN, add that number on the outside of the parenthesis with x: g(x) = f(x) + n is up, g(x) = f(x) - n is down.
To move the graph RIGHT you must SUBTRACT from inside the parenthesis. g(x) = f(x - n)
To move the graph to the LEFT you must ADD from inside the parenthesis . g(x) = f(x + n)
Answer:

Step-by-step explanation:
we want to figure out the ellipse equation which passes through <u>(</u><u>1</u><u>,</u><u>4</u><u>)</u><u> </u>and <u>(</u><u>-</u><u>3</u><u>,</u><u>2</u><u>)</u>
the standard form of ellipse equation is given by:

where:
- (h,k) is the centre
- a is the horizontal redius
- b is the vertical radius
since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

substituting the value of x and y from the point (1,4),we'd acquire:

similarly using the point (-3,2), we'd obtain:

let 1/a² and 1/b² be q and p respectively and transform the equation:

solving the system of linear equation will yield:

substitute back:

divide both equation by 1 which yields:

substitute the value of a² and b² in the ellipse equation , thus:

simplify complex fraction:

and we're done!
(refer the attachment as well)
Answer:
a. 10 buns or 10/12
b. 8 buns or 8/12
Step-by-step explanation:
You need to make the denominator into 12 since thats how much is in a dozen
5/6 of a dozen is also 10/12 (multiplied numerator and denominator by 2)
2/3 of a dozen is also 8/12 (multiplied numerator and denominator by 4)