It's a quadratic so the parent function will be
We can see that it has been shifted to the right 5 units, which gives us a new function
It has also been shifted up 9 units:
But it has also been flipped across the y-axis which makes this the final change we need to do:
<u>Explaining the Concept:</u>
We need to find the slope of the given line:
We know that Slope of a line = Rise/Run. So, to calculate the rise and the run, we will use the points (0,4) and (2,0) on the line
<u>Finding the Slope:</u>
<u>Rise:</u>
We know that the rise of a line is its change in y-coordinate
So, rise of the given line = y₂ - y₁
Rise = 0 - 4 [Since y₁ = 4 and y₂ = 0]
Rise = -4
<u>Run:</u>
We know that the run of a line is its change in x-coordinate
So, Run = x₂ - x₁
Run = 2 - 0 [Since x₁= 0 and x₂ = 2]
Run = 2
<u>Slope:</u>
As we said before,
Slope = Rise/Run
<em>replacing the variables</em>
Slope = -4/2
Slope = -2
Hence, the slope of the given line is -2
Answer:
108 units
Step-by-step explanation:
(6x4x9)divided by 2
Answer:
$50,000
Step-by-step explanation:
The computation of the amount received after paying off the mortgage is shown below
= Value of the house - mortgage amount
= $150,000 - $100,000
= $50,000
By deducting the mortgage amount from the value of the house we can get the amount received and the same is shown in the computation part
Since in the question it is given that the Rosetta sells her house and paid off mortgage so only these two items are considered and others are to be ignored
6x + 52 > 130
Subtract 52 from both sides:
6x > 78
Divide both sides by 6:
X > 78/6
X > 13
