Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is
, where the quadratic is in the form
. The discriminant of this one is therefore:
![2^2-4(4)(6)=4-96=-92](https://tex.z-dn.net/?f=2%5E2-4%284%29%286%29%3D4-96%3D-92)
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
19200 all you have to do to figure this out is multiply 100 times 8 since the is 8 halfs in 4 hours.
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Answer:
1. equation
2.equation
3.equation
4. expression
5.expression
6.equation
7.expression
8.equation
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anything with = is an equation, without is expression.
Answer:
7.07 units
Step-by-step explanation:
Use the Pythagorean theorem for the right triangle:
![\text{hypotenuse}^2=\text{leg}_1^2+\text{leg}_2^2,\\ \\c^2=a^2+b^2.](https://tex.z-dn.net/?f=%5Ctext%7Bhypotenuse%7D%5E2%3D%5Ctext%7Bleg%7D_1%5E2%2B%5Ctext%7Bleg%7D_2%5E2%2C%5C%5C%20%5C%5Cc%5E2%3Da%5E2%2Bb%5E2.)
If a = x, b = x, and c = 10, then
![10^2=x^2+x^2,\\ \\100=2x^2,\\ \\x^2=50,\\ \\x=\sqrt{50}=5\sqrt{2}\approx 7.07\ units.](https://tex.z-dn.net/?f=10%5E2%3Dx%5E2%2Bx%5E2%2C%5C%5C%20%5C%5C100%3D2x%5E2%2C%5C%5C%20%5C%5Cx%5E2%3D50%2C%5C%5C%20%5C%5Cx%3D%5Csqrt%7B50%7D%3D5%5Csqrt%7B2%7D%5Capprox%207.07%5C%20units.)
Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5