Answer: the equation is
5x^2 -30x - 25
Step-by-step explanation:
A quadratic equation is one in which the highest power of the unknown is 2.
The general form of a quadratic equation is expressed as
ax^2 + bx + c
Where c is a constant and a is the leading coefficient
Assuming we want to write the quadratic equation in x, from the information given, the given roots are 5 and 1 and the leading coefficient is 5. We will just multiply the expression by the leading coefficient.
Therefore, the linear factors of the quadratic will be (x-5) and (x-1)
With the leading coefficient as 5, the equation becomes
5(x-5)(x-1)
= 5(x^2 - x - 5x + 5)
= 5(x^2 - 6x + 5)
= 5x^2 -30x - 25
Answer:
82 feet
Step-by-step explanation:
50 feet + 32 feet = 82 feet
Answer:
7.4 · 10^4
Step-by-step explanation:
For scientific notation, multiplication is pretty simple.
In this case, you would only multiply the "regular" number by 2.
(3.7 · 2) · 10^4
= 7.4 · 10^4
However, if it were asking about multiplying the number with something else in scientific notation, in addition to what we did above, you'd add together the exponents.
I hope this helped!
Part A
Given that

Then,

For

, then

Thus,

For

, we have

Part B
Recall that from part A,

Now, at initial position, t = 0 and

, thus we have

and when the velocity drops to half its value,

and

Thus,

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by