The vertex form of the quadratic equation given is y = 4(2x +1)² -12
<h3>What is an Equation ?</h3>
An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.
A quadratic equation is given
y = 4x² +16x -48
The vertex form has to be written for it
The standard quadratic equation is
y = a(x-h)² +k
where h and k are the vertex
From the given equation
y = 4x² +16x +4 - 4 -8
y = (4x+2)² -12
y = 4(2x +1)² -12
So here it is in the standard form
Vertex is (-1 , -12)
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5-(-4)
5 + 4 = 9
exceeds by 9
Answer:
D
Step-by-step explanation:
Because its a line and the only three undefined terms are line,point,plane
Answer: 
Step-by-step explanation:
We have the following function:

And we have to evaluate it when
, this means we have to substitute
by
:

Solving:

Finally:

Yes. The situation is defined by a linear function.
<u>Solution:</u>
Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.
Is this situation defined by a linear function?
Yes, the above given situation is defined by a linear function.
Now, let us see the linear equation for above situation
Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"
Then, total salary is given as,
Total salary = $ 30 bonus + number of hours worked
cost per hour

Above equation is a linear equation as "c" is constant ( cost per hour )
Hence, the given situation can be defined by linear function.