Domain of
![f(x)=\sqrt{2x+1}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B2x%2B1%7D)
are the values of x for which 2x + 1 < 0
2x < -1
x < -1/2
Therefore, domain is all real numbers less than -1/2
We know the y intercept is -6 and we know the slope is positive 4 (rise over run) so the equation is y=4x-6 if we plug in a shaded point (I would choose 0,0 for convenience reasons) 0=-6 since -6 is less than 0, the expression would be y≥4x-6
Answer:
Question 2 is y = 1/2 x - 2
Question 3 is y=-2x+4
Question 4 is y = x + 3
Your other questions don't have pictures of the graph so I can't solve them sorry. Have a good day.
Answer:
x intercept = 15 # of cars to detail if no SUVs
y intercept = 10 # of SUVs to detail if no cars
Hope this helps!
Answer:
5
Step-by-step explanation:
Assuming we want to evaluate |z|, given that, z=4+3i.
Then, by definition of modulus,
![|x + yi| = \sqrt{ {x}^{2} + {y}^{2} }](https://tex.z-dn.net/?f=%20%7Cx%20%2B%20yi%7C%20%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%7D%20)
![|4+ 3i| = \sqrt{ {4}^{2} + {3}^{2} }](https://tex.z-dn.net/?f=%7C4%2B%203i%7C%20%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%7D%20)
![|4+ 3i| = \sqrt{ 16+ 9 } \\ |4+ 3i| = \sqrt{25 } \\ |4+ 3i| = 5](https://tex.z-dn.net/?f=%7C4%2B%203i%7C%20%20%3D%20%20%5Csqrt%7B%2016%2B%20%209%20%7D%20%20%5C%5C%20%7C4%2B%203i%7C%20%20%3D%20%20%5Csqrt%7B25%20%7D%20%20%5C%5C%20%7C4%2B%203i%7C%20%20%3D%205)
Therefore the modulus be of the given complex number is 5 units