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slava [35]
3 years ago
11

Showing statements are true of the graph of the function F(x)= (x+5) (x-3)

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

x intercepts are -5 and 3

the y intercept is -15  

it opens up, which means it looks like ∪


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Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
erma4kov [3.2K]
<h3>Answers:</h3><h3>6 quarters</h3><h3>2 dimes</h3>

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

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d = 70/35 ... divide both sides by 35

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q = d+4

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He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

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