This is how you would solve the problem.
Yes, 0.7 is greater than 0.49.
F(3)=53 and for f(x)=1; x=2
Answer:
Tim
Step-by-step explanation:
The best description of the graph is offered by Tim:
"She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes."
The slope of the graph is Kate's speed. When it varies, it means her speed is varying. When it is constant, it means her speed is constant. When the line is horizontal, the slope (and Kate's speed) is zero.
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<em>Comment on the question</em>
The graph describes <em>Kate's</em> distance from home. The question asks about <em>Lisa's</em> motion. We have no idea whether any of the students are describing Lisa's motion, as there is no information provided about what Lisa's motion is.
Start with
![\dfrac{5-2x}{3}+1-\dfrac{3x-2}{5}=-x](https://tex.z-dn.net/?f=%5Cdfrac%7B5-2x%7D%7B3%7D%2B1-%5Cdfrac%7B3x-2%7D%7B5%7D%3D-x)
Multiply both sides by 15 to get rid of denominators:
![5(5-2x)+15-3(3x-2)=-15x](https://tex.z-dn.net/?f=5%285-2x%29%2B15-3%283x-2%29%3D-15x)
Expand the left hand side:
![25-10x+15-9x+6=-15x](https://tex.z-dn.net/?f=25-10x%2B15-9x%2B6%3D-15x)
Move all terms involving x to the left and all numbers to the right:
![-10x-9x+15x=-25-15-6](https://tex.z-dn.net/?f=-10x-9x%2B15x%3D-25-15-6)
Sum like terms:
![-4x=-46](https://tex.z-dn.net/?f=-4x%3D-46)
Divide both sides by -4:
![x=\dfrac{46}{4}=\dfrac{23}{3}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B46%7D%7B4%7D%3D%5Cdfrac%7B23%7D%7B3%7D)