Answer: -5x + 2y -9 = 0
Step-by-step explanation:
1. Move constant to the left and change its sign
2. Change the signs on both sides of the equation
Seems to be that the limit to compute is

Consider an arbitrary line through the origin

, so that we rewrite the above as

The value of the limit then depends on the slope

of the line chosen, which means the limit is path-dependent and thus does not exist.
The answer is: 
The explanation is shown below:
1. Cynthia rounds the number, which is identified as
, to one decimal place and the result is 6.3.
2. Based on this, we know that
could have been between 6.25 and 6.35. Therefore, the error interval for
is given by:

Where
indicates that the value 6.25 is included and
indicates that the value 6.35 is not included (Because if
had been exactly 6.35, Cynthia would round up to 6.4).
Answer:
Store A offers the least amount for the sofa
Step-by-step explanation:
Cost of sofa =$500
For store A
Discount =20% off
The amount of the discount is
=20/100*500
=0.2*500
=$100
6.5% sales tax
The amount of tax is
=6.5/100*500
=0.065*500
=$32.5
Total cost of the sofa
=500-100+32.5
=400+32.5
=$432.5
For store B
Discount =30% off
The amount of the discount is
=30/100*500
=0.3*500
=$150
Shipping fee $85
Total cost of sofa
=500-150+85
=350+85
=$435
Answer:
. ALL of the beverages at The Zest Nest ARE LIKELY to contain 46 grams of sugar or less, but NONE of the beverages at Jim's juice joint ARE LIKELY to contain LESS THAN 46 grams of sugar.