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:
44
Step-by-step explanation:
is times 5.5
A + b +c = 75; where a is the greatest number; b is the middle number; c is the least number;
a = 2 * c;
b = 3 + c;
then, 2 * c + 3 + c + c = 75 => 4 * c = 72 => c = 72 / 4 => c = 18 => a = 2 * 18 => a = 36; b = 3 + 18 => b = 21;
Answer:
x = 2
y = 1
Step-by-step explanation:
-2x-3y=-7, y=6x-11
-2x - 3(6x - 11) = -7
-2x - 18x + 33 = -7
-2x - 18x = -40
-20x = -40
<u><em>x = 2</em></u>
y = 6(2) - 11
y = 12 - 11
<u><em>y = 1</em></u>
