Answer: 12c+16d
Step-by-step explanation: 4(3c+4d)
(4)(3c+4d)
(4)(3c)+(4)(4d)
12c+16d
Answer:
its a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.
Step-by-step explanation:
Answer:
5x+15y=85
Step-by-step explanation:
X and Y are the unknown variables, just add them to 5,(cars), and 15 (minibus)
Answer:
7.59 Miles
Step-by-step explanation:
I divided 4.5 by 32 to get how many miles she runs in a minute (.1406) then I multiply it by 54 to get how many she runs in 54 minutes.
See the explanation
<h2>
Explanation:</h2>
The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:
![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
For each graph,
will be drawn in red while
will be drawn in blue.
Case 1:
![f(x)=\frac{1}{4}x+\frac{5}{2}x-2 \\ \\ g(x)=4-\frac{1}{4}x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B5%7D%7B2%7Dx-2%20%5C%5C%20%5C%5C%20g%28x%29%3D4-%5Cfrac%7B1%7D%7B4%7Dx)
So by equating both equations:
![\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B5%7D%7B2%7Dx-2%3D4-%5Cfrac%7B1%7D%7B4%7Dx)
By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:
<u>Solution:</u>
![\boxed{x=2}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D2%7D)
See First Figure below.
Case 2:
![f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16](https://tex.z-dn.net/?f=f%28x%29%3D7.9x%2Bx%2B4%20%5C%5C%20%5C%5C%20g%28x%29%3D-1.1x-16)
Applying a similar method as in case 1.
<u>Solution:</u>
![\boxed{x=-5.8}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D-5.8%7D)
See Second Figure below.
Case 3:
![f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x](https://tex.z-dn.net/?f=f%28x%29%3D3.2x%2B5.7%20%5C%5C%20%5C%5C%20g%28x%29%3D-2.5x)
Applying a similar method as in case 1.
<u>Solution:</u>
![\boxed{x=-1}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D-1%7D)
See Third Figure below.
Case 4:
![f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7](https://tex.z-dn.net/?f=f%28x%29%3D10.1x-1.6x%2B44%20%5C%5C%20%5C%5C%20g%28x%29%3D-7)
Applying a similar method as in case 1.
<u>Solution:</u>
![\boxed{x=-6}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D-6%7D)
See Fourth Figure below.
<h2>Learn more:</h2>
Methods for solving system of equations: brainly.com/question/10185505
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