2x+10=0
subtract 10 from both sides
2x=(-10)
divide 2 from both sides
x=-5
Answer:
![Total = \$5d - 2](https://tex.z-dn.net/?f=Total%20%3D%20%5C%245d%20-%202)
Step-by-step explanation:
Represent Alice with A, her friend with F and you with Y.
From the question, we have:
![A = \$d](https://tex.z-dn.net/?f=A%20%3D%20%5C%24d)
--- Twice as much Alice means 2 times Alice's earnings
--- 2 less than her friend
Required
Determine the total amount
![A = \$d](https://tex.z-dn.net/?f=A%20%3D%20%5C%24d)
Substitute
for A in
![F = 2 * \$d](https://tex.z-dn.net/?f=F%20%3D%202%20%2A%20%5C%24d)
![F = \$2d](https://tex.z-dn.net/?f=F%20%3D%20%5C%242d)
Substitute
for F in ![Y = F - 2](https://tex.z-dn.net/?f=Y%20%3D%20F%20-%202)
![Y = \$2d - 2](https://tex.z-dn.net/?f=Y%20%3D%20%5C%242d%20-%202)
The total amount is calculated by adding the earnings of Alice, her friend and you
![Total = A + F + Y](https://tex.z-dn.net/?f=Total%20%3D%20A%20%2B%20F%20%2B%20Y)
![Total = \$d + \$2d + \$2d - 2](https://tex.z-dn.net/?f=Total%20%3D%20%5C%24d%20%2B%20%5C%242d%20%2B%20%5C%242d%20-%202)
![Total = \$5d - 2](https://tex.z-dn.net/?f=Total%20%3D%20%5C%245d%20-%202)
<em>Hence, the total earnings is 5d - 2</em>
Answer:
Step-by-step explanation:
Find the equation of the segment going from (0,-5) to (3,7)
y intercept = -5
Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4
equation: y = 4x - 5
g(x) = x^2 / f(x)
f(x)= (4x - 5)
g(x) = x^2 / (4x - 5)
g'(x) = x^2 * (4x - 5)^-1
g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2
I will leave that monster the way it is and just find g'(1)
g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2
g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2
g'(1) = -2 + (-1) (1)^2 (4)
g'(1) = - 2 + (-1) (1)^2 (4)
g'(1) = - 2 - 4
g'(1) = - 6
Answer:
The least amount of dimensions would be using a 4ft x 4ft base.
Step-by-step explanation:
When looking to maximize area and minimize materials, a perfect square always does this. To prove the point, consider the 4 x 4 box in the answer to say a 16 x 1 box, which would have the same area.
The 4 x 4 box would have 4 sides each of 4 ft. Therefore, it would have 16 feet of sides to construct.
Meanwhile, there would be two sides on the other one that were 16 ft alone.
C² = a² + b²
c² = 17.5² + 47.1²
c² = 306.25 + 2218.41
c² = 2524.66
c ≈ 50.2
It is correct.