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Triss [41]
3 years ago
10

Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

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3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
sineoko [7]

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

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8 0
3 years ago
When both parties discuss the terms of a contract they are
marysya [2.9K]
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A, however, is not exactly a term used for this situation - contracting is more of a term used to say someone contracted a disease or the flu or etc. 

Therefore, B would be correct as they are indeed negotiating the terms of the contract.

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7 0
3 years ago
For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of frut Search inste
vaieri [72.5K]

This question is incomplete

Complete Question

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

8 0
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