Determine whether each ordered pair is a solution to the inequality x+y<3.

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.

Step-by-step explanation:

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The perimeter of a rectangle is 1144 ft. It’s length is three times it’s width.find the dimensions of the rectangle.

AVprozaik [17]

Answer:

$Length= 429 feet\\Width=143feet$

Step-by-step explanation:

Perimeter of the rectangle= 1144 feet

Length=3*Width

L=3*W

Perimeter of rectangle:

$2(Length+Width)\\\\ 1144=2(3W+W)\\\\ 1144/2=3W+W\\\\ 572=4W\\\\ W=572/4\\\\ W= 143 feet\\\\Width=143 feet\\\\Length=3*143=429 feet\\\\$

The Dimension of the rectangle is :

$Length= 429 feet\\Width=143feet$

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svet-max [94.6K]

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Alina [70]

The difference quotient of the function that has been presented to us will turn out to be 5.

<h3>How can I calculate the quotient of differences?</h3>

In this step, we wish to determine the difference quotient for the function that was supplied.

To begin, keep in mind that the difference quotient may be calculated by:

Lim h->0 $\frac{f(x+h)-f(x)}{h}$

Now, for the purpose of the function, we need this:

Then we will have:

$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$