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3 years ago

What's greater 1/2 gallon or 2 liters

2 answers:

5 0

1/2 gallon is greater

5 0

They look like...
<span>a 2 liter is like the big bottles that coke come in </span>
<span>and 1/2 a gallon is the smaller bottle of milk</span>

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Sauron [17]

Answer:

$x < \frac{20}{17}$ and $y \ge \frac{-5}{17}$

Step-by-step explanation:

Given

$y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1$

Required

Find x and y

In the second equation. Assume that:

$y = \frac{3}{5}x - 1\\$

Substitute $y = \frac{3}{5}x - 1$ in the first equation

$y > 4x - 5$

$\frac{3}{5}x - 1 > 4x - 5$

Collect like terms

$\frac{3}{5}x - 4x > - 5 + 1$

$\frac{3}{5}x - 4x > -4$

Multiply through by 5

$3x - 20x > -20$

$-17x > -20$

Solve for x

$x < \frac{20}{17}$

Substitute this value of x in $y \ge \frac{3}{5}x - 1$

$y \ge \frac{3}{5}*\frac{20}{17} - 1$

$y \ge \frac{3}{1}*\frac{4}{17} - 1$

$y \ge \frac{12}{17} - 1$

$y \ge \frac{12- 17}{17}$

$y \ge \frac{-5}{17}$

3 0

3 years ago

bekas [8.4K]

Using the concept of domain, the domain of (f.g)(x) is given by:

{x ∈ ℝ | x ≠ 3}

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The domain of a function is given by all possible input values, that is, <u>on a graph, all values that the x-axis assumes.</u>
In the graph, <u>function f assumes all real values.</u>
Function g is not defined for x = 3, thus, it's domain is all real values except 3.
Thus, the multiplication, as $fg(x) = f(x) \times g(x)$ , will also not be defined at x = 3, and the domain of the multiplication is: