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Licemer1 [7]
2 years ago
10

There are 4 quarts in a gallon and 4 cups in a quart. How many cups are in one serving?

Mathematics
1 answer:
blagie [28]2 years ago
4 0

Answer: 16 cups

one serving is a gallon.

4c = 1q

8c = 2q

12c = 3q

16c = 4q

-ㄚㄩ尺丨

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the expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and the 2 i
gogolik [260]
5(3)+2
15+2
17 monies

Just plug the amount of games in for n
8 0
3 years ago
Read 2 more answers
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
2 years ago
Which of the following best defines 2 2/3?
inna [77]

Answer:

A. \sqrt[3]{4} = Cube root of 4.

Step-by-step explanation:

We have been given an expression 2^{\frac{2}{3}}. We are asked to find the equivalent expression for our given expression.

Using exponent property \sqrt[n]{a^m} =a^{\frac{m}{n}, we will get,

2^{\frac{2}{3}}=\sqrt[3]{2^2}

2^{\frac{2}{3}}=\sqrt[3]{4}

Upon looking at our given choices, we can see that option A is the correct choice.

3 0
3 years ago
Read 2 more answers
Solve for x. Enter your answer below as a fraction in lowest terms, using the
Eddi Din [679]

Answer:

x = \frac{9}{80}

Step-by-step explanation:

Given

x + \frac{9}{20} = \frac{9}{16}

Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions

80x + 36 = 45 ( subtract 36 from both sides )

80x = 9 ( divide both sides by 80 )

x = \frac{9}{80}

8 0
3 years ago
What is the solution to this system of linear equations?
svetoff [14.1K]
It’s B
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2
7 0
3 years ago
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