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topjm [15]
3 years ago
5

Which value of x is in the domain of f (x) =v x-7?

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

Answer:

The domain of the function are values of x that respect the following condition: x \geq 7

Step-by-step explanation:

We are given the following function:

f(x) = \sqrt{x - 7}

Domain of the square root function:

The square root does not exist for negative values, so the domain of a square root function:

g(x) = \sqrt{h(x)}

Is h(x) \geq 0

In this question:

f(x) = \sqrt{x - 7}

Then:

h(x) = x - 7

x - 7 \geq 0

x \geq 7

The domain of the function are values of x that respect the following condition: x \geq 7

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3 years ago
Oana cheltuiește o sumă de bani în trei zile. În prima zi Oana cheltuiește jumătate din sumă, a
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Answer:

700 lei  

Step-by-step explanation:

You have a geometric sequence for which you know the common ratio and the last term.

There are only three terms, so you can solve the problem in either of two ways.

1. The brute force method (easiest for only a few terms)

Each term is half the one before it, so each term is double the one after it.

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2. Using formulas  (best for longer sequences)

The general formula for your sequence is

aₙ = a₁rⁿ⁻¹

For your sequence,

a₃ = 100; r = 0.5

(a) Calculate a₁

Set the last term equal to the general formula.

a₃ = a₁(0.5)ⁿ⁻¹

100 = a₁(0.5)² = 0.25a₁

a₁ = 100/0.25 = 400

(b) Calculate the sum

The general formula for the sum of a geometric sequence is

\begin{array}{rcl}S_{n}& =& \dfrac{a_{1}(1 - r^{n}) }{ 1 - r}\\\\S_{3}& =& \dfrac{400(1 - 0.5^{3}) }{ 1 - 0.5}\\\\& =& \dfrac{400(1 - 0.125) }{ 0.5}\\\\& =& \dfrac{400\times0.875 }{ 0.5}\\\\& = & \mathbf{700}\\\end{array}

Oana spent 700 lei.

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