Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
F(x) = 7(x-1)+8, so f(1) = 7(1-1)+8 [sub the x value in] = 7-7+8 = 8
The Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the age of the Julia is x years when Michael is 60
Julia's age = 14 years in 2021
Age of Michael = 2.50×14 = 35 years
Increase in age Michael of 60 – 35 = 25
x = 14+25 = 39 years
Thus, the Julia age will be 39 years old if In 2021,Julia is 14 years old. Michael is 2.50 times as old as Julia.
Learn more about the linear equation here:
brainly.com/question/11897796
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Equations don't have minimum or maximum, functions do.
Function y=2n^2+5n-25 has minimum -28.125, has no maximum.
There are 4 quarts in a gallon, so 3x4=12 quarts
