Consider the two expressions $\frac{4x^3+2x^2+6x+7}{2x+1}$ and $2x^2+3+\frac4{2x+1}.$

a) show that the two expressions are equal to each other when $x=10.$

b) explain why these two expressions are not equal to each other when $x=-\dfrac12.$

c) show that these two expressions are equal to each other for all $x$ other than $-\dfrac12.$

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Factor x2 – 8x + 15. which pair of numbers has a product of ac and a sum of what is the factored form of the

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?