Answer:
Point a is (-1/2,-1/4)
Point b is (-2 and 1/2,1 and 1/2)
Point c is (1/4,1/2)
The true option about the solution to the system of inequalities shown is B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).
<h3>
How to explain the inequality?</h3>
Plot these ordered pairs on a coordinate plane and connect them by straight lines.
The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.
From the below graph it is clear that all values are satisfied.
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Step-by-step explanation:
5x^2+2x=1
5x^2+2x-1=0
x=-b+/-√b^2-4ac÷2a
x=-2+/-√-2^2-(4×5×-1)÷2×5
x=-2+/+√4--20÷10
x=-2+/-√24÷10
x=-2+√24÷10 or -2-√24÷10
x=-2+4.9÷10 or -2-4.9÷10
x=2.9÷10 or -6.9÷10
x=0.29 or -0.69
sum = x(n+1)/2
where x is the number of the term ( in this case 52)
n is the last number in the series( which is not given in the problem)
D is also correct. if you need an explanation let me know