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Darina [25.2K]
3 years ago
14

Which is the solution set of the compound inequality 3.5 x -10> -3 and 8x -9 <39

Mathematics
2 answers:
aivan3 [116]3 years ago
7 0
3.5x-10>-3  add 10 to both sides

3.5x>13  divide both sides by 3.5

x>26/7

x=(26/7, +oo)

...

8x-9<39  add 9 to both sides

8x<48  divide both sides by 8

x<6

x=(-oo,6)

Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.

x=(26/7, 6)
Zielflug [23.3K]3 years ago
7 0

Answer:

2<x<6

Step-by-step explanation:

I graphed it

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Find the cardinal number of the given set.<br><br><br> A = {{3, 5, 7, ... 25}}
Allisa [31]

Answer:

<h3>12</h3>

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

7 0
2 years ago
1/4c+5/3c-4=2-1/12 What dose c equal
Ivan

Answer:

c=71/23

Step-by-step explanation:

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8 0
3 years ago
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3 0
3 years ago
A three-bedroom house in North Augusta sold for $190,000. If housing prices are expected to increase 1.8% annually in that town,
Ivahew [28]

Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

$190,000 + $190,000*0.018 = $190,000*(1.018)

another year after, we have:

$190,000*(1.018)*(1.018) = $190,000*(1.018)^2

and etc

The function that models the price as a function of the years, represented as y, is:

P(y) = $190,000*(1.018)^y

If we want to know the price in 5 years, we need to replace y = 5 in the equation:

p(5) = $190,000*(1.018)^5 = $207,726.80

Step-by-step explanation:

hope this helps you

3 0
3 years ago
H+4.78=8.02 evaluate
asambeis [7]

Answer:

h=3.24

Step-by-step explanation:

6 0
3 years ago
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