Given:
The height h of an object after t seconds is
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
Here, t is the time in seconds.
For t=-2,
For t=5,
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
A) 40
b) 3
c) 5
Hope this helps
<h3>Answer:</h3>
2.4 potatoes/pound
<h3>Explanation:</h3>
The unit rate is the slope of the line. The slope of the line is ...
... (change in y-value)/(change in x-value)
... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)
... = (24 potatoes)/(10 pounds)
... = 2.4 potatoes/pound
_____
The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:
... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound
Answer:
The equation of the line is y - 6 = -14/11(x + 4)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -8)/(-4 - 7)
m = (6 + 8)/(-4 - 7)
m = 14/-11
m = -14/11
Now that we have the slope, we can use it and either point in point-slope form and solve for the equation.
y - y1 = m(x - x1)
y - 6 = -14/11(x + 4)
First we need to convert the mixed umber to an improper fraction...
3 2/9
Multiply the denominator by the whole number the. add the numerator the. put that over the original denominator.
9×3 = 27 + 2 = 29/9
now we can multiply the two fractions... numerator × numerator and denominator × denominator.
29/9 × 7/3 = 203/27
reduce the fraction to 7 14/27
