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ryzh [129]
2 years ago
13

Which term describes the set of all possible output values for a function?

Mathematics
2 answers:
dexar [7]2 years ago
3 0
The set of all output values for a function is called the range.
malfutka [58]2 years ago
3 0

C. Range


Explanation:


The definition of domain is the set of all possible input values, or x-values, of a function.


The definition of range is the set of all possible output values, or y-values, of a function.



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2 years ago
Apopulation grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.a) Write a function to model the
solong [7]

Answer:

a) P(t) = 22000(1.071)^{t}

b) The population increases 7.1% each year.

Step-by-step explanation:

The continuous population growth model is given by:

P(t) = P_{0}(1+r)^{t}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

In this problem, we have that:

A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.

This means that P_{0} = 22000, r = 0.071

a) Write a function to model the population increase.

P(t) = 22000(1 + 0.071)~{t}

P(t) = 22000(1.071)^{t}

b) By what percent does the populaiion increase each year?

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6 0
3 years ago
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
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