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Vladimir79 [104]
3 years ago
10

 A construction contractor is purchasing granite tiles for a new kitchen floor. Each tile costs $5 and he wants to spend less th

an $1,500. The size of each tile is 1 square foot. a. Write an inequality that represents the number of tiles he can purchase with a limit of $1,500 
b. Figure out how large the new kitchen floor can be
Mathematics
1 answer:
alina1380 [7]3 years ago
6 0
P= sum of money he has= 1500$
each tile cost 5 dollars 
1500= 5x
x= 300 tiles

b.  Area of each square tiles = base x height = 1(1) = 1 square foot

1 (300) = 300 square foot 
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3 years ago
A function f is​ _____ on an open interval I​ if, for any choice of x1 and x2 in​ I, with 1 less than
Zepler [3.9K]

Answer:

If f(x_1)\leq f(x_2) whenever x_1\leq x_2 f is <em>increasing</em> on I.

If f(x_1)\geq f(x_2) whenever x_1\leq x_2 f is <em>decreasing</em> on I.

Step-by-step explanation:

These are definitions for real-valued functions f:I→R. To help you remember the definitions, you can interpret them in the following way:

When you choose any two numbers x_1\leq x_2 on I and compare their image under f, the following can happen.

  • f(x_1)\leq f(x_2). Because x2 is bigger than x1, you can think of f also becoming bigger, that is, f is increasing. The bigger the number x2, the bigger f becomes.
  • f(x_1)\geq f(x_2). The bigger the number x2, the smaller f becomes so f is "going down", that is, f is decreasing.

Note that this must hold for ALL choices of x1, x2. There exist many functions that are neither increasing nor decreasing, but usually some definition applies for continuous functions on a small enough interval I.

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2 years ago
PLEASE HELP ITSFOR GEOMETRY DO NOT WASTE ANSWERS WILL MARK BRAINLIEST
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Step-by-step explanation:

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3 years ago
Solve and graph the absolute value inequality: |2x + 4| &gt; 14.
Aloiza [94]

Answer:

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Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

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3 years ago
Help immediately please
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Answer:

35,45,55 is not a triangle

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135 does not =180

false

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3 years ago
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