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gulaghasi [49]
3 years ago
14

Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0
In B 5^2 = 25. There is no x anywhere.
In C f(x) = 2/x is a function of a reciprocal, not a quadratic.
In D f(x) = 2x^3 + 3x^2 - 5 is a cubic. A cubic is not a quadratic. The highest power of a quadratic is x^2

That leaves A. When you expand the brackets, you get
3(x^2 + 3x- 4x - 12)
2(x^2 - x - 12) when you remove the brackets you get
2x^2 - 2x - 24. The highest power of x is x^2. This is your quadratic.

A<<<< answer.
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Multiply both sides by x so that x will be in the numerator
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3 years ago
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The volume of a rectangular prism is 60 cubic units. What could the dimensions of the prism be?
laila [671]

Answer:1x20x3

Step-by-step explanation: 1 times 20 equals 20 and 20 times 3 equals 60 cubic units. Basically you are just multiplying 3 numbers that equal to 60.

5 0
3 years ago
-13 times the difference between a number and 60 is equal to the number plus -59
kipiarov [429]
Let n represent the number.
  -13×(n -60) = n +(-59)
  -13n +780 = n -59
  839 = 14n
  839/14 = n = 59 13/14

The number is 59 13/14.

_____
Check
  The difference between the number and 60 is
    59 13/14 -60 = -1/14
  -13 times that value is
    -13*(-1/14) = 13/14
  Compare that to the number plus -59
    59 13/14 -59 = 13/14 . . . . . the same value, as required.
8 0
3 years ago
How do I find QS here?
juin [17]
Answer: 12.
To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines. 
In the first line: QR = 15 - 4x. 
In the third line:QR = 13x - 1 - x = 12x - 1. 
Now, we have to set these equations equal to each other. 15 - 4x = 12x - 115 = 16x - 116x = 16x = 1
Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
4 0
3 years ago
Marcus wants to use a model to determine the difference
grigory [225]

Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.

<h3>What was the basic principle of Marcus theory?</h3>
  • In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
  • Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
  • Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
  • The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.

We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

#SPJ1

8 0
1 year ago
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