Answer:
Step-by-step explanation:
Rewrite this in standard quadratic equation form: x^2 - 7x + 6 + 8 = 0, or x^2 - 7x + 14 = 0. This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:
The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.
Because the discriminant is negative, we know that there are two unequal, complex roots. They are:
-(-7) ± i√7 7 ± i√7
x = ----------------- = ---------------
2 2
One factor is (x - [1/2]{7 ± √7} )
First find the square root of -24 which would be -4.898979486 then either subtract 1 or add negative 1, it's the same thing, and that would give you -5.898979486.
Answer:
x = 50
R = $2500
Step-by-step explanation:
Given in the question a quadratic equation,
−x² + 100x
To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x
The value of -b/2a tells you the value x of the vertex of the function
−x² + 100x
here a = -1
b = 100
Selling price = -(100)/2(-1)
= 50
R = −(50)² + 100(50)
= 2500
If you sketch the man and the building on paper, you'll have a
right triangle. The right angle is the point where the wall of
the building meets the ground. The height of the building
is one leg of the triangle, the line on the ground from the
building to the man's feet is the other leg, and the line
from his feet to the top of the building is the hypotenuse.
We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.
Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.
The tangent of the angle is (opposite) / (adjacent)
= (350 ft) / (1,000 ft) = 0.350 .
To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .
tan⁻¹(0.350) = 19.29° . (rounded)
Answer:
35
Step-by-step explanation:
I hope this helps you.
12+24=38
38÷6=31
31+4=35
