The correct question is
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?
we have that
</span>d(x)=(1/2)x² -10x
we know that
the function is quadratic (a parabola)
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure
the vertex is the point (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level
therefore
the answer is<span>
the lowest altitude is 50 meters under the sea level</span>
68 is the correct answer. Thank you for your help! Love doing this!
Answer:
The system of equations has no solution.
Step-by-step explanation:
Given the system of equations
2y = 2x+7
x = y+2
solving the system of equations

Arrange equation variables for elimination

Multiply -y+x=2 by 2: -2y+2x=4

so adding




so the system of equations becomes

0 = 11 is false, therefore the system of equations has no solution.
Thus,
No Solution!
Answer: 0.6 cm
Step-by-step explanation:
Given : Over the past 4 years, Grandpa Ernie's height decreased by a total of 2.4 cm.
If the height is decreased by the same amount each year.
Then, the change in Grandpa Ernie's height each year will be =
Total decrease in height ÷ 4
= 2.4 cm ÷ 4 = 0.6 cm
Hence, the change in Grandpa Ernie's height each year = 0.6 cm