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3 years ago

At which points do the two equations y = 5 + x and y = x2 - 7 intersect?

Mathematics

1 answer:

LiRa [457]3 years ago

8 0

Hello,

y=5+x
y=x²-7
==>x²-7=5+x
==>x²-x-12=0
==>(x-4)(x+3)=0
The points are:

(4,9) and (-3,2)

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3 years ago

Read 2 more answers

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Step-by-step explanation:

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3 years ago

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3 years ago

Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?

ivanzaharov [21]

The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
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3 years ago

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

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3 years ago