Answer:
$2.00 is the original price
Step-by-step explanation:
Step 1:
Turn 25% into a decimal which makes it 0.25
ex. 50% would be 0.50, 5% would be 0.05 etc.
Step 2:
Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price
x - 0.25x = 1.50 this is basically 1x - 0.25x = 1.50 so,
Solving the left side of our equation gives us 1x - 0.25x = 0.75x
so now you have: 0.75x = 1.50
Step 3:
Divide both sides by 0.75 which gets x by itself and gives us the original price which is $2.00
Answer:
![\huge\boxed{f^{-1}(x)=\dfrac{1}{5}x-3}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D%5Cdfrac%7B1%7D%7B5%7Dx-3%7D)
Step-by-step explanation:
![f(x)=5x+15\to y=5x+15\\\\\text{exchange x to y and vice versa}\\\\x=5y+15\\\\\text{solve for}\ y\\\\5y+15=x\qquad|\text{subtract 15 from both sides}\\\\5y=x-15\qquad|\text{divide both sides by 5}\\\\y=\dfrac{1}{5}x-3](https://tex.z-dn.net/?f=f%28x%29%3D5x%2B15%5Cto%20y%3D5x%2B15%5C%5C%5C%5C%5Ctext%7Bexchange%20x%20to%20y%20and%20vice%20versa%7D%5C%5C%5C%5Cx%3D5y%2B15%5C%5C%5C%5C%5Ctext%7Bsolve%20for%7D%5C%20y%5C%5C%5C%5C5y%2B15%3Dx%5Cqquad%7C%5Ctext%7Bsubtract%2015%20from%20both%20sides%7D%5C%5C%5C%5C5y%3Dx-15%5Cqquad%7C%5Ctext%7Bdivide%20both%20sides%20by%205%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B1%7D%7B5%7Dx-3)
Answer:
b) 158
Step-by-step explanation:
The two horizontal lines are called parallel lines so x is the same as the given angle and the ones diagonal from them would be the same as well.
Answer:√40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.
Answer:
Opposite angles of a cyclic quadrilateral add to 180°
Angel CBA and angle ADC adds up to 180°.
CBA + ADC = 180
CBA = 180 - ADC
x + CBA = 180
x + 180 - ADC = 180
x - ADC = 0
x = ADC
y + ADC = 180
y + x = 180