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han68
29.07.2019 •
Mathematics
D^2+d-30/d^2+3d-40 + d^2+14d+48/d^2-2d-48 a. d^2+14d+16/(d+8)(d-8) b. 2d^2+14d+16/(d+8)(d-8) c.2d^2+15d+18/2d^2+d-88 d.2d^2+15d+18/(d+8)(d-8)
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Ответ:
2d^2 + 14d + 16
----------------------------
(d+8)(d-8)
Explanation:
The question is:
1) Start factoring all the polynomials to rewrite the fractions.
2) d^2 + d - 30 = (d + 6)(d - 6)
3) d^2 + 3d - 40 = (d + 8)(d - 5)
4) d^2 + 14d + 48 = (d + 6) (d + 8)
5) d^2 - 2d - 48 = (d - 8)(d + 6)
6) rewrite the fractions:
(d+6)(d-5) (d+8)(d+6)
----------------- + -----------------
(d+8)(d-5) (d-8)(d+6)
7) simplify the fractions cancelling the factors that are equal in the numerator and the denominator:
d+6 d+8
-------- + -------
d+8 d-8
8) take least common denominatior: (d+8)(d-8), and sum the fractions:
(d-8)(d+6) + (d+8)^2
--------------------------------
(d+8)(d-8)
9) expand the parenthesis in the numerator and combine like terms:
d^2 - 2d - 48 + d^2 + 16d + 64
------------------------------------------- =
(d+8)(d-8)
2d^2 + 14d + 16
= ----------------------------
(d+8)(d-8)
And that is the option B.
Ответ:
Option D is correct.
The system of inequalities are:
Step-by-step explanation:
Let h represents the number of hamburgers and c represents the number of cheeseburgers.
From the given statement:
Each hamburgers sells for $3 each
then,
the total sales of hamburgers sells is 3h
Each cheeseburgers sells for $3.50 each
then,
the total sales of cheeseburgers sells is 3.50c
Since, he has 100 burgers
then the inequality :
And also, he must sell to have sales of at least $ 80
at least represented by symbol!['\geq'](/tpl/images/0471/1038/38edd.png)
then the inequality is;![3h+3.50c\geq 80](/tpl/images/0471/1038/b414d.png)
Therefore, the system of inequality: