If a diagram has a scale of 1:100, that means that the real thing is 100 times larger. To find how long the real thing is, that means that we need to multiply the length on the diagram by 100. 100 * 15 is 1500. But, that is 1,500 cm. To convert it into meters, we need to divide by 100. That's because there's 100 centimeters in every meter. 1500/100 is 15, which means that the actual length of the car park is 15 meters.
Answer: x = -11
Step-By-Step:
We can start by combining like terms on the left side.
-20 - x = 4x - (3x - 2)
Now we need to distribute the negative on the right side.
-20 - x = 4x - 3x + 2
Now combine like terms on the right.
-20 - x = x + 2
Now add 20 to the other side
- x = x + 22
Subtract x from the left side.
-2x = 22
Now divide by -2.
x = -11
Answer:
Max = 86; min = 36.54
Step-by-step explanation:
Step 1. Find the critical points.
(a) Take the derivative of the function.
Set it to zero and solve.
![\begin{array}{rcl}2x - \dfrac{85}{x^{2}} & = & 0\\\\2x^{3} - 85 & = & 0\\2x^{3} & = & 85\\\\x^{3} & = &\dfrac{85}{2}\\\\x & = & \sqrt [3]{\dfrac{85}{2}}\\\\& \approx & 3.490\\\end{array}\](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D2x%20-%20%5Cdfrac%7B85%7D%7Bx%5E%7B2%7D%7D%20%26%20%3D%20%26%200%5C%5C%5C%5C2x%5E%7B3%7D%20-%2085%20%26%20%3D%20%26%200%5C%5C2x%5E%7B3%7D%20%26%20%3D%20%26%2085%5C%5C%5C%5Cx%5E%7B3%7D%20%26%20%3D%20%26%5Cdfrac%7B85%7D%7B2%7D%5C%5C%5C%5Cx%20%26%20%3D%20%26%20%5Csqrt%20%5B3%5D%7B%5Cdfrac%7B85%7D%7B2%7D%7D%5C%5C%5C%5C%26%20%5Capprox%20%26%203.490%5C%5C%5Cend%7Barray%7D%5C)
(b) Calculate ƒ(x) at the critical point.
Step 2. Calculate ƒ(x) at the endpoints of the interval
Step 3.Identify the maxima and minima.
ƒ(x) achieves its absolute maximum of 86 at x = 1 and its absolute minimum of 36.54 at x = 3.490
The figure below shows the graph of ƒ(x) from x = 1 to x = 5.
Answer:
1 males choosing sport utility vehicle is 0.09
2 Females choosing sport utility vehicle is 0.56
3 Males choosing a sports car 0.16
4 Females choosing a sports car 0.19
5 Males or females utility is 0.65
6 Females or males sports car 0.35
Step-by-step explanation: Sorry if this is not the right answer
