Set the two equal to each other and solve for x
-2x+1 = -2x²+1
-2x= -2x²
x=x²
x²-x=0
x(x-1) =0, so x is either 0 or 1
two solutions, namely (0,1) and (1,1)
Answer:
the total number who liked pop or rock music ik the age geoup is 186
Answer:
A(t) = 200+15t(1+0.02)^{t}
Step-by-step explanation:
Since the interest is calculated on the new balance every year.
Hence the formula used for compound interest is:
A = P(1+
^{nt}
where, A =Amount after t years
P =Principal amount
200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t
r = rate each year (0.02)
t = time (in years) (t)
n = no. of times the interest is compounded in a year (n=1)
Therefore, the recursive formula is:
A(t) = 200+15t(1+0.02)^{t}
Answer:
The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4
Step-by-step explanation:
-7x + 13 ≥ 41
Subtract 13 from both sides
-7x ≥ 28
Dividing both sides by the -7 changes the inequality sign and we have
x ≤ -4
Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.
Hope this Helps!!!
Answer:
Parallelogram Theorem #1 Converse
Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.