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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

Answer:

-41

Step-by-step explanation:

Use 2 points to find the equation of the line using the 2-point form of the equation of a line. Then we write the equation in the slope-intercept form to find the y-intercept.

$y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

We can use points (-36, -117) and (-27, -98), so

x1 = -36

x2 = -27

y1 = -117

y2 = -98

$y - (-117) = \dfrac{-98 - (-117)}{-27 - (-36)}(x - (-36))$

$y + 117 = \dfrac{19}{9}(x + 36)$

$y + 117 = \dfrac{19}{9}x + 76$

$y = \dfrac{19}{9}x - 41$

The y-intercept is -41.

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Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family

RideAnS [48]

A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2 if x < 5

f(x) = x - $3 if x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2 if x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3 if x ≥ 5 (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612

3 0

3 years ago

Explain how the inverse and the contopositivve of a conditional are alike and how they are different

anygoal [31]

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

Here is an example:

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

Based on the information from the example, you can conclude:

Primary Similarity:

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

Primary Difference:

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

5 0

3 years ago

They crawled in until 51,416 had

tino4ka555 [31]

Step-by-step explanation:

do 51,416×4

ans is 245,664