Whitney needs to borrow $200 for school supplies. If she borrows the same amount from 5 friends, which equation will show now mu
2 answers:
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We know that is a parabola, concave up, with vertex in the origin
So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.
Here's the examples:
- The horizontal line
intercepts the parabola twice: the system
is solved by
- The horizontal line
intercepts the parabola only once: the system is
which yields
which is a repeated solution
- The horizontal line
intercepts the parabola only once: the system is
which yields
which is impossible, because a squared number can't be negative.
We have to determine the complete factored form of the given polynomial
.
Let x= -1 in the given polynomial.
So,
So, by factor theorem
(x+1) is a factor of the given polynomial.
So, dividing the given polynomial by (x+1), we get quotient as .
So, = (x+1)
.
=
=
= is the completely factored form of the given polynomial.
Option D is the correct answer.
Answer:
221.87 feet
Step-by-step explanation:
Given that,
A 525 ft cable runs from the top of an antenna to the ground.
The angle of elevation made by the ground to the top of an antena 25°
We need to find the height of the antenna.
Using trigonometry,
Hypotenuse, H = 525 ft
θ = 25°
So,
So, the height of the antenna is equal to 221.87 feet.
Answer:
8.3 L/s
Step-by-step explanation:
To find the answer you need to find the slope also known as the rate of change. When you find slope it is always change in y over change in x.
Then simplify
Then divide to get your slope/average rate of change
= 8.3