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Black_prince [1.1K]
3 years ago
5

The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

8x^2 - 26x + 33

Step-by-step explanation:

Add the expressions.

2x^2 - 13x + 12 + 6x^2 - 13x + 21 =

= 2x^2 + 6x^2 - 13x - 13x + 12 + 21

= 8x^2 - 26x + 33

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You earn $250 per month from your part-time job. You are in a kayaking club that costs $20 per month, and you save at least $100
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Answer:

Amounts in the intervall 130 \leq c \leq 230

Step-by-step explanation:

We will take the variables c and s, where

c = amount to spend that month

s = savings of the month.

Since each month we save at least 100, we know that

0 \leq s \leq 100

Moreover, we earn $250 per month and we spend $20 in a kayaking club, which tells us that

250=20+s+c

and so

230-s=c

By multiplying by -1, the first inequality also tells us that

-100 \leq -s \leq 0

Consequently by adding 230 to the inequality, we get that

230-100 \leq 230-s \leq 230\\\\\Rightarrow 130\leq c \leq 230

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