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Ad libitum [116K]
3 years ago
6

Given the following table, determine the missing value. Growth Factor 1.13 ? 1.28 1.97 Percent 13% 256% 28% 97%

Mathematics
2 answers:
omeli [17]3 years ago
5 0
To get the growth factor from a percentage increase, express the percentage as a decimal, then add 1.
  256% = 2.56
  2.56 + 1 = 3.56

The appropriate choice is ...
  c. 3.56
lisov135 [29]3 years ago
3 0

Answer:

missing value in the table is 3.56

Step-by-step explanation:

Percent              13%          256%        28%     97%

Growth Factor    1.13              ?             1.28      1.97

To find growth factor first we remove the percentage and then we add 1

we are given with 246 %

to remove percentage we divide by 100

\frac{256}{100} = 2.56

To get growth factor we add 1

1+2.56= 3.56

so growth factor is 3.56

missing value in the table is 3.56

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i \cdot i^2\cdot i^3\cdot i^4=i^2\cdot i^8=-1\cdot1=-1
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3 years ago
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Andre45 [30]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Exercise 3.5. For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ [x^2 − 25}.
masya89 [10]

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is g^{-1}(x) = e^{x}

c. The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

<h3 /><h3>The domain of T</h3>

Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

⇒ x ≥ ±5

⇒ -5 ≤ x ≤ 5.

<h3>Inverse image of f(x)</h3>

The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

f : R → R defined by f(x) = 3x³

Let f(x) = y.

So, y = 3x³

Dividing through by 3, we have

y/3 = x³

Taking cube root of both sides, we have

x = ∛(y/3)

Replacing y with x we have

y = ∛(x/3)

Replacing y with f⁻¹(x), we have

So,  the inverse image of f(x) is f⁻¹(x) = ∛(x/3)

<h3>Inverse image of g(x)</h3>

The inverse image of g(x) is g^{-1}(x) = e^{x}

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

e^{y} = e^{lnx} \\e^{y} = x

Replacing x with y, we have

y = e^{x}

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is g^{-1}(x) = e^{x}

<h3>Inverse image of h(x)</h3>

The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

h : R → R defined by h(x) = x − 9

Let y = h(x)

y = x - 9

Adding 9 to both sides, we have

y + 9 = x

Replacing x with y, we have

x + 9 = y

Replacing y with h⁻¹(x), we have

So, the inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

Learn more about inverse image of a function here:

brainly.com/question/9028678

5 0
2 years ago
How many solutions does 2(3x -4) = 3x -8+3x
never [62]

Answer:

no solutions

Step-by-step explanation:

6 0
3 years ago
Helpppppppp plssssdds
sashaice [31]

Answer:

A. 8.008, 8.08, 8.081, 8.09

B. 14.200, 14.204, 14.210, 14.240

Step-by-step explanation:

4 0
3 years ago
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