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:
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Step-by-step explanation:
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Answer: 48cm^2
Step-by-step explanation:
LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of triangle LPQ is 16 cm work out area of LQM
Kindly see attached picture for detailed explanation
Answer:
y = x
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-8 - 0) / (-8 - 0)
-8 / -8
= 1
So, the slope is 1.
Plug in the slope and a point into y = mx + b and solve for b:
y = mx + b
-8 = 1(-8) + b
-8 = -8 + b
0 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 1x + 0
y = x
So, the equation of the line is y = x
Answer:
then there is 3 dog owners with dogs and 2 with
