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:
If the area is 24 square inches, the lengths of the sides of a rectangle are 6 inches and 4 inches.
Step-by-step explanation:
If the lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches.
converse switches the statements
If the area is 24 square inches, the lengths of the sides of a rectangle are 6 inches and 4 inches.
Use the formula for area of a circle,
and they give an approximation so use that for pi
Answer:
10
Step-by-step explanation:
if sage is 17 and jori is 2 years older he will be 19 so in 10 years he will be 30
Answer:
She spent $33 dollars
Step-by-step explanation:
3 times 2.75 equals 8.25
4 times 5.50 equals 22
1 times 2.75 equals 2.75
8.25+22+2.75= $33
