Answer:
78.5 i think
Step-by-step explanation:
a) For 900 units of currency X, at an exchange rate of y = 1.05x, you could get <u>945 of currency Y.</u>
b) The inverse function is x is <u>0.9524y</u> and it represents the conversion of units of currency Y to units of currency X.
c) For 46 units of currency Y, at the exchange rate of x = 0.9524y, you could get <u>43.81 of currency X</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a value that a currency has with another.
The exchange rate shows the proportion or ratio at which two currencies are exchanged.
<h3>Data and Calculations:</h3>
The exchange rate of X (x) to Y 9y) is y = 1.05x.
For 900 units of currency X, you could get 945 of currency Y (1.05 x 900)
The inverse function is x = 0.9524y (900/945)y
For 46 units of currency Y, you could get = 43.81 of currency X (0.9524 x 46).
Learn more about exchange rates at brainly.com/question/4711402
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C. 55 degrees.
Solving: Since it’s on the same line, you can do 180 - 125 to solve for.
Answer:
Add 3 times row 1 to row 2 to obtain the new matrix
Step-by-step explanation:
Attached below is the solution
To obtain the new matrix we will add 3 times Row 1 to row 2
original matrix
New Matrix
Answer:
![3x-5y=-20](https://tex.z-dn.net/?f=3x-5y%3D-20)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.
3x-5y=7 has the same slope as the line. Let's convert.
![3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\](https://tex.z-dn.net/?f=3x-5y%3D7%5C%5C3x-3x-5y%3D7-3x%5C%5C-5y%3D7-3x%5C%5C%5Cfrac%7B-5y%7D%7B-5%7D%3D%5Cfrac%7B7-3x%7D%7B-5%7D%20%5C%5C)
![y=\frac{3}{5}x -\frac{7}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5%7Dx%20-%5Cfrac%7B7%7D%7B5%7D)
The slope is
.
2y-9x=8 has the same y-intercept as the line. Let's convert.
![2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}](https://tex.z-dn.net/?f=2y-9x%3D8%5C%5C2y-9x%2B9x%3D8%2B9x%5C%5C2y%3D8%2B9x%5C%5C%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B8%2B9x%7D%7B2%7D)
![y=\frac{8}{2}+\frac{9x}{2} \\y=4+\frac{9}{2}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B8%7D%7B2%7D%2B%5Cfrac%7B9x%7D%7B2%7D%20%20%5C%5Cy%3D4%2B%5Cfrac%7B9%7D%7B2%7Dx)
The y-intercept is 4.
We take
and b=4 and substitute into y=mx+b.
![y=\frac{3}{5}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5%7Dx%2B4)
We now convert to standard form.
![-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B5%7Dx%2By%3D%5Cfrac%7B3%7D%7B5%7Dx-%5Cfrac%7B3%7D%7B5%7Dx%2B4%5C%5C-%5Cfrac%7B3%7D%7B5%7Dx%2By%3D4)
For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.
![-5(-\frac{3}{5}x+y=4)\\3x-5y=-20](https://tex.z-dn.net/?f=-5%28-%5Cfrac%7B3%7D%7B5%7Dx%2By%3D4%29%5C%5C3x-5y%3D-20)