Answer:
The zeros of the function are -0.488 and -7.39
Step-by-step explanation:
Given the quadratic function
f(x) = 2x²+16x-9
The zeros of the function is gotten at when f(x) = 0
2x²+16x-9 = 0
Using the general equation
x = -b±√b²-4ac/2a
From the equation, a = 2, b = 16 and c= -9
x = -16±√16²-4(2)(-9)/2(2)
x = -16±√256-72/4
x = -16±√184/4
x = -16+13.56/4
x = -16+13.56/4 and -16.13.56/4
x = --2.44/5 and -29.56/4
x = -0.488 and -7.39
Answer:
18 and 9
Step-by-step explanation:
The numbers are x and 1/2x.
x + 1/2x = 27
3/2x = 27
x = 18 so the numbers of 18 and 9.
Angles<span> larger than a right </span>angle<span> and smaller than a straight </span>angle<span> (between 90° and 180°) are </span>called<span> obtuse </span>angles<span> ("obtuse" meaning "blunt"). An </span>angle<span> equal to </span>12<span> turn (180° or π radians) is </span>called<span> a straight </span>angle<span>.</span>
Answer:
6 problems per hour
Step-by-step explanation:
Total problems = 24
she completed the first 12 problems in 1 hour
The last 12 in 3 hours.
Total time = 1 hour + 3 hours
= 4 hours
unit rate for all 24 problems = total number of problems / total time taken
= 24 problems / 4 hours
= 6 problems per hour
In seven years her mother will be 38 +7 = 45 years old.
She will be 5 times as old, so divide 45 by 5: 45/5 = 9. Elaine will be 9 years old then, so she is 9-7 = 2 years old now.
