Answer:
well it cant start off in the middle of the graph most graphs you start from the very beginning like lets just say we start at 11 and go all the way to the end so kinda like a straight line
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Given the inequality ![-7x+3>45](https://tex.z-dn.net/?f=-7x%2B3%3E45)
A) Add -3 to both sides of inequality:
![-7x+3-3>45-3\\ \\-7x>42](https://tex.z-dn.net/?f=-7x%2B3-3%3E45-3%5C%5C%20%5C%5C-7x%3E42)
Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):
![x](https://tex.z-dn.net/?f=x%3C-6)
B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).
The sail price would be 38.25 because the original price is 45 and the discount is 15% and that would be 0.15 you need to multiply 45 with 0.15 and that would 38.25
Answer:
![x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\](https://tex.z-dn.net/?f=x%20%3D%20-%201%20%2B%20%5Csqrt%7B17%7D%5C%5Cand%5C%5Cx%20%3D%20-%201%20-%20%5Csqrt%7B17%7D%5C%5C)
Step-by-step explanation:
given equation
![x^2 +2x +1 = 17](https://tex.z-dn.net/?f=x%5E2%20%2B2x%20%2B1%20%3D%2017)
subtracting 17 from both sides
![x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\](https://tex.z-dn.net/?f=x%5E2%20%2B2x%20%2B1%20%3D%2017%5C%5Cx%5E2%20%2B2x%20%2B1%20-17%3D%2017-17%5C%5Cx%5E2%20%2B2x%20-%2016%20%3D%200%5C%5C)
the solution for quadratic equation
is given by
x = ![x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a](https://tex.z-dn.net/?f=x%20%3D%20-b%20%2B%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%2F2a%20%5C%5C%5C%5Cand%20%5C%20%5C%5C-b%20-%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%2F2a)
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in our problem
a = 1
b = 2
c = -16
![x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4 + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x = ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\](https://tex.z-dn.net/?f=x%20%3D%28%20-2%20%2B%20%5Csqrt%7B2%5E2%20-%204%2A1%2A-16%7D%29%20%2F2%2A1%20%5C%5Cx%20%3D%28%20-2%20%2B%20%5Csqrt%7B4%20%20%2B%2064%7D%29%20%2F2%5C%5Cx%20%3D%28%20-2%20%2B%20%5Csqrt%7B68%7D%20%29%2F2%5C%5Cx%20%3D%20%28%20-2%20%2B%20%5Csqrt%7B4%2A17%7D%20%29%2F2%5C%5Cx%20%3D%20%20%28%20-2%20%2B%202%5Csqrt%7B17%7D%20%29%2F2%5C%5Cx%20%3D%20-%201%20%2B%20%5Csqrt%7B17%7D%5C%5Cand%5C%5C%5C%5Cx%20%3D%20-%201%20-%20%5Csqrt%7B17%7D%5C%5C)
thus value of x is
![x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\](https://tex.z-dn.net/?f=x%20%3D%20-%201%20%2B%20%5Csqrt%7B17%7D%5C%5Cand%5C%5Cx%20%3D%20-%201%20-%20%5Csqrt%7B17%7D%5C%5C)