Answer:
Here you are. I hope this helps.
Answer:
9
Step-by-step explanation:
If you add 9 to both sides, you will isolate the 'x' term.
hope this helps :)
Both these expression are written in slope-intercept form. y = mx + b
m = slope
b = y-intercept
We can find the slope of each expression by finding what m is in each equation.
y = -3x + 2 -> m = -3
y = 4x - 5 -> m = 4
Remember that m = slope
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Best Regards,
Wolfyy :)
Answer:
![y = .5x^2 -2x -5](https://tex.z-dn.net/?f=y%20%3D%20.5x%5E2%20-2x%20-5)
Step-by-step explanation:
Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )
In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.
This is not true for our parabola.
So we can widen it by to the desidered width by making the x^2 into a .5x^2.
So far we’ve got y = .5x^2
Now the parabola y intercept is at -5.
So we can add a -5 into the equation making it.
y = .5x^2 - 5
Now for the x value.
So we can find the x value by seeing how far away the parabola is from from the y axis.
So the x value is -2x.
So the full equation is ![y = .5x^2 -2x -5](https://tex.z-dn.net/?f=y%20%3D%20.5x%5E2%20-2x%20-5)
Look at the image below to compare.
<h3>Morgan invested for 17 years</h3>
<em><u>Solution:</u></em>
From given,
Principal = $ 50, 000
Total amount = $ 177, 500
Rate of interest = 15 %
Number of years = ?
Interest amount = Total amount - principal
Interest amount = 177, 500 - 50, 000
Interest amount = 127500
<em><u>Use the formula,</u></em>
![Interest = \frac{p \times n \times r}{100}\\\\127500 = \frac{ 50000 \times n \times 15}{100}\\\\127500 = 500 \times 15 \times n\\\\75n = 1275\\\\n = 17](https://tex.z-dn.net/?f=Interest%20%3D%20%5Cfrac%7Bp%20%5Ctimes%20n%20%5Ctimes%20r%7D%7B100%7D%5C%5C%5C%5C127500%20%3D%20%5Cfrac%7B%2050000%20%5Ctimes%20n%20%5Ctimes%2015%7D%7B100%7D%5C%5C%5C%5C127500%20%3D%20500%20%5Ctimes%2015%20%5Ctimes%20n%5C%5C%5C%5C75n%20%3D%201275%5C%5C%5C%5Cn%20%3D%2017)
Thus he invested for 17 years