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Verizon [17]
3 years ago
14

2x + 3 = 9x – 5 Need help please

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer: 1 \frac{1}{7}

Please read the whole thing and make sure you understand. Trust me, only copying and not learning will only make math harder.

Step-by-step explanation:

2x + 3 = 9x - 5

Add 5 to both sides, cancelling off the 5 on the right

2x + 3 + 5 = 9x

2x + 8 = 9x

Subtract 2x from both sides, cancelling off the 2x on the left

8 = 9x - 2x

8 = 7x

Divide each side by 7, cancelling of the 7 from the x on the right

8 / 7 = x

1.4285714286... = 7

1 \frac{1}{7}

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Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

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3 years ago
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