How to write 12.375 in expanded form

Mathematics

2 answers:

Vaselesa [24]2 years ago

7 0

Twelve and three hundred seventy five thousandths

posledela2 years ago

3 0

Twelve and three hundred and seventy five thousandths.

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Please solve this equations y=6x²-5,y=17x-6/x

Amiraneli [1.4K]

Answer:

$x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31$

Step-by-step explanation:

$y=6x^2-5\\y=17x-\frac{6}{x}$

Let's substitute the first equation into the second one.

$6x^2-5=17x-\frac{6}{x}$

$6x^3-17x^2-5x+6=0$ - Multiply by $x$ and bring all the terms to one side.

I'll use my graphical calculator to solve this but you could factor:

$x=3\\x=0.5\\x=-0.67$ (All rounded to 2 decimal places)

Now we can substitute these $x$ values into an equation for $y$ .

$y=6x^2 - 5$

$x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31$

5 0

2 years ago

What is the inequality?

vlabodo [156]

Answer:

y < 0.25x + 4

Step-by-step explanation:

The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.

We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.

Solving for the line:

Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using $\frac{y_2-y_1}{x_2-x_1}$ results in $\frac{1}{4}$ or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.