Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Answer:
b 12
Step-by-step explanation:
62=5x+2(opposite angle are equal)
5x=60
x=12
Answer:
The width is 3 yds
Step-by-step explanation:
Area = length * width
18 = 6*w
Divide each side by 6
18/6 = 6w/6
3=w
The width is 3 yds
Answer:
=3/4
⭐=1/2
Step-by-step explanation:
2=5/4 + 1/4
2=6/4
=6/4 ÷ 2
=3/4
so...+⭐=5/4
3/4+⭐=5/4
⭐=5/4-3/4
⭐=2/4
⭐=1/2
