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andrew11 [14]
2 years ago
7

The expression 11(1.022)^t11(1.022)

Mathematics
1 answer:
Lena [83]2 years ago
6 0

Answer: growth factor = 1.022

Step-by-step explanation:

The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%

What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US

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What are the zeros of the quadratic function f(x) = 6x^2 + 12x – 7?
strojnjashka [21]

Answer:

x1=\frac{-2+\sqrt{26/3}}{2}

x2=\frac{-2-\sqrt{26/3} }{2}

Step-by-step explanation:

To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.

To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:

x=\frac{-b±\sqrt{b^{2}-4ac}}{2a}

So, the first thing we're going to do is divide the whole function by 6:

6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6

This step is optional, but it makes things quite easier.

Then we using the quadratic formula, where:

a=1, b= 2, c = -7/6.

Then:

x=\frac{-2±\sqrt{2^{2}-4(1)(-7/6)}}{2}

x=\frac{-2±\sqrt{4 +14/3}}{2}

x=\frac{-2±\sqrt{26/3}}{2}

So the zeros are:

x1=\frac{-2+\sqrt{26/3}}{2}

x2=\frac{-2-\sqrt{26/3}}{2}

4 0
2 years ago
A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual fo
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Answer: A Only

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8 0
2 years ago
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Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th
oksian1 [2.3K]
Equation represents the difference in the number of foreign and domestic stamps Malik collected: X-34=y

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so,
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Situation :
Y= X-34
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2 years ago
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Answer:

  (x, y) = (0, 1/2) or (1, 3)

Step-by-step explanation:

The first equation factors as ...

  x(3x -y) = 0

This has solutions x=0 and y=3x.

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<u>x = 0</u>

Using this in the second equation gives ...

  2y -0 = 1

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  (x, y) = (0, 1/2) is a solution

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<u>y = 3x</u>

Using the expression for y in the second equation, we get ...

  2(3x) -5x = 1

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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.

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2 years ago
PLEASE HELP !!! The cost of a pottery painting party is $9 per person, plus a one-time supply fee of $89. Which of the following
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c(x)=9x+89


I know that you don't have the answer listed, but it is the correct answer.

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