Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at 
, and it's value is 
.
Equation for the height:
The height of the bird after x seconds is given by:
Which is a quadratic equation with 
.
When the bird is at its highest?
Quadratic equation with 
, and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
The bird will be at a ground distance of 10.04 units away.
Answer:7 quarters and 6 dimes
Step-by-step explanation:
Step-by-step explanation:
a general line equation is
y = ax + b
"a" being the slope is the line, "b" being the y-intercept (the y value when x = 0).
we see from the 2 marked points (by we could choose any points on the line) that
y changes by 2 units, when x changes by 3 units.
so the slope is 2/3.
we use one point (1, 2) to solve for b
2 = 2/3 × 1 + b = 2/3 + b
6/3 = 2/3 + b
4/3 = b
and the full equation is
y = 2/3 x + 4/3
The linear equation is 45x+50
Linear equation is the equation having the degree 1
Given that the charge per computer repair service is $50
The charge per hour of work is $ 45
We need to show the linear equation that expresses the total amount of money Charlie earns per computer is y
So , Let the number of hours be x
Therefore, the Charlie working hours charge will be 45x
The total amount of money Charlie earns per computer is y
Therefore the linear equation will be
y = 50+45x
Where y = Total amount of money
x = number of hours
Hence the linear equation is y = 45x+50
Learn more about linear equation here
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Answer:
The augmented matrix associated to the linear system is
![\left[\begin{array}{ccc}3&5&-2\\6&7&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%265%26-2%5C%5C6%267%26-1%5Cend%7Barray%7D%5Cright%5D)
Using row operations we reduce the system to echelon form:
1. We substract to the second row three times the first row and obtain the matrix
![\left[\begin{array}{ccc}3&5&-2\\0&-3&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%265%26-2%5C%5C0%26-3%263%5Cend%7Barray%7D%5Cright%5D)
that is the echelon form of the system.
Now we use backward substitution to find the solution.
1. 
2. 
The the unique solution is 
