Answer: No solution
Step by step:
10x-2(5x+2)=12
10x-10x-4=12
0x=16
No solution
Answer:
Step-by-step explanation:
Finding an equation of a tangent line to that function requires that we find the derivative of the function at that point. Since this is an absolute value function with its cusp at (2, 5), the function is not differentiable here.
Answer:
![y](https://tex.z-dn.net/?f=y%3C-%5Cfrac%7B3x%7D%7B2%7D%2B1)
Step-by-step explanation:
The straight line passes through (0,1) and (2,-2).
Equation of a straight line passing through two points (x1,y1) and (x2,y2)
is given by:
![y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%28x-x_%7B1%7D%29)
![y-1=\frac{-2-1}{2-0}(x-0)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B-2-1%7D%7B2-0%7D%28x-0%29)
![y=-\frac{3}{2}x+1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B1)
Everything to the left of the line is shaded.
We have to visualize the graph:the straight line has a positive y-intercept and a negative slope.The graph is given in the attachment below.
From the figure we can see origin lies on the shaded region.Hence (0,0) should satisfy the inequality.
LHS=y=0
RHS=![-\frac{3x}{2}+1=1\ (x=0)](https://tex.z-dn.net/?f=-%5Cfrac%7B3x%7D%7B2%7D%2B1%3D1%5C%20%28x%3D0%29)
LHS<RHS as 0<1
Hence , the inequality is:
![y](https://tex.z-dn.net/?f=y%3C-%5Cfrac%7B3x%7D%7B2%7D%2B1)
C. 309,058,304
Three hundred nine million is in the millions bracket; wherein, three is in the hundred million place and nine is in the one million place.
fifty-eight thousand is in the thousands bracket; wherein 0 is placed in the hundred thousand place, five is in the ten thousands place, and eight is in the one thousands place.
three hundred four is placed as such because three should be in the hundreds place, 0 is in the tens place, and 4 is in the ones place.