8000(.09)=720 8000+720=8720
0.60 km which I got from https://quizizz.com
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
c. they are all parts of 12, and when added together they equal 11/12. The formula to solve non proportionate fractions*or with different denominators* is to CROSS multiply and make the denominators equal, then add the numerators and SIMPLIFY.
*Cross multiply to make the denominator equal (you can google how to make fractions equal)
then add the numerators together
then simplify. PLEASE BE CONSIDERATE OF THE FORMULA AND DONT BE INTIMIDATED BY THE LOOK OF THE PROBLEM. They all have the same formula or method of solving. Good Luck!! I hope this helps.
