Answer:
The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.
This value of Δy is not constant for a constant increase in production.
Step-by-step explanation:
We know that the production function is
, and in the current situation
and
.
With this information we can calculate the actual budget level:

The next year, with an increase in demand of 100 more automobiles, the production will be
.
If we calculate y for this new situation, we have:

The budget for the following year is 130.
The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

This value of Δy is not constant for a constant increase in production.
Answer:
6x + 48
Step-by-step explanation:
multiply each term inside the () by 6
6x + 6*8
9514 1404 393
Answer:
a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.
b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.
Step-by-step explanation:
1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.
__
2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.
B and c, anything with an x^2 term is a quadratic.
Answer:

Step-by-step explanation:
Given that,
The sum of first n term of a sequence is
We need to find the sum of the first 5 terms.
Put n = 5,

So, the sum of first 5 terms is equal to
.