Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:

Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:

Subtracting 10 from both sides:

For simplicity, divide both sides by -1:

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

Substitute:

Evaluate:

Simplify the square root:

Therefore:

Simplify:

Approximate:

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.
The drawing which shows two lines that intersect at Point, A is as represented in Choice 1: Top-left corner.
Discussion:
In geometry, a line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth.
- Lines are therefore an idealization of such objects, which are often described in terms of two points or referred to using a single letter.
Ultimately, The drawing which shows two lines that intersect at Point, A are as represented in Choice 1: Top-left corner.
Read more on intersection of lines:
brainly.com/question/9047265
Answer:
Linear and non-homogeneous.
Step-by-step explanation:
We are given that

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).
We have also find type of differential equation.



It is linear differential equation because this equation is of the form
y'+P(x)y=g(x)
Compare it with first order first degree linear differential equation



Homogeneous equation

Degree of f and g are same.

Degree of f and g are not same .
Therefore, it is non- homogeneous .
Linear and non-homogeneous.
The answer is <span>2^7 = 128<span>
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