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lesya692 [45]
3 years ago
7

An item costs $430 before tax, and the sales tax is $25.80.

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

if the item is 430, and the sales tax is 25.80

we can find how much is 1%

430/100=4.30

25.80/4.30=6

the sales tax is 6%

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Which terms complete the factorization of x2+27x+162 represented by the model?
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4 0
2 years ago
Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
3 years ago
If the pressure in the tank is 1.5 bar and atmospheric pressure is 1 bar, determine l, in m, for water with a density of 997
il63 [147K]

this can be solve using the formulaP = rghwhere P is the total pressurer is the densityh is the heightg is the acceleration due to gravity
fist solve the total pressureP = 1.5 bar + 1 barP = 2.5 barP = 250,000 Pa
P = rgh250,000 = (997)(9.81)hh =25.56 m 
6 0
3 years ago
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