Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of ac
res, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?
A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a
Which equation models the relationship between the independent and dependent variables?
A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a
1 answer:
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<h2>Given :-</h2>
- 50 men do 10 hours work daily complete work in 20 days
- 80 men do job in 50% time
- Days required
- 1 man may do job in (50 × 20) days =
- 1 man may do job in 1000 days
Now,
- 80 man = 1000/80 = 12.5
Now,
- When hours reduced 50% then we will multiply days by 2
- Total days = 12.5 × 2 = 25 days.
- Option C is correct
The quadratic function given by:
is in vertex form. The graph of is a parabola whose axis is the vertical line
and whose vertex is the point
. So:
To translate the graph of a function to the right, left, upward or downward we have:
By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>
- Then translating<em> 5 units down:</em>
Since the new function is fatter, the factor we need to multiply the term <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>
- Then translating<em> 1 unit down:</em>
As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>