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3 years ago

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour?

Mathematics

2 answers:

AnnyKZ [126]3 years ago

6 0

6.75 miles per half hour

kvasek [131]3 years ago

3 0

It would go 6.75 miles in 1/2

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3x+y=4 <br> 2x-y=6<br> What is the answer to this equation?

nalin [4]

Answer:Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form(2,-2)

Equation Form:x=2 y=-2

Step-by-step explanation:

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2 years ago

State the domain of the relation ? ( there is more than one?) select all that apply

Roman55 [17]

Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

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3 years ago

How do you solve an absolute value equation?

Mkey [24]

The distance between two real numbers $x,y$ is the absolute value of their difference, $|x-y|$ . So the statement "all $x$ that are 1/4 away from -6" is captured in the equation

$|x-(-6)|=\dfrac14$

$|x+6|=\dfrac14$

To solve, you can use the definition of absolute value: if $x$ is not negative, then $|x|=x$ ; otherwise, $|x|=-x$ .

So there are two cases to consider:

1. Suppose $x+6\ge0$ . Then $|x+6|=x+6$ , and the equation reduces to

$x+6=\dfrac14\implies x=-\dfrac{23}4$

2. Suppose $x+6$ . Then $|x+6|=-(x+6)=-x-6$ and

$-x-6=\dfrac14\implies x=-\dfrac{25}4$

$-6=-\dfrac{24}4$ , so the two solutions we found are correct because both $-\dfrac{23}4$ and $-\dfrac{25}4$ are indeed 1/4 away from -6.

- - -

For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no $x$ such that $|x|$ .