<span>Price of the dishwashers on sale are represented with the function: p ( d ) = 0.75 d ( 100 % - 25 % = 75 % or 0.75 d ): After that we have additional 14 % on the discounted price ( 100 % + 14 % = 114 % OR 1.14 ): C ( P ) = 1.14 P. Finally, c ( p ( d ) ) = 1.14 * 0.75 d = 0.855 d. Answer: C ) c [ p ( d ) ] = 0.855 d Hope I helped! :) Cheers!</span>
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
You flip the sign from > to < only when you are dividing by a negative number and in this case it would be negative 9.
Answer:
Triangle 1: 9
Square: 57.76
Triangle 2: 20.91
Step-by-step explanation:
Square area formula: area=
Triangle: area=
