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zmey [24]
3 years ago
5

A faucet is used to add water to a large bottle that already contained some water. after it has been filling for 4 ​seconds, the

gauge on the bottle indicates that it contains 12 ounces of water. after it has been filling for 11 ​seconds, the gauge indicates the bottle contains 26 ounces of water. let y be the amount of water in the bottle x seconds after the faucet was turned on. write a linear equation that relates the amount of water in the​ bottle, y, to the time x.
Mathematics
1 answer:
mina [271]3 years ago
7 0
The problem gives us points (4, 12) and (11,26). We first find the slope using m=(y2-y1)/(x2-x1). We substitute and get m=(26-12)/(11-4). This simplifies to m = 2. We can then use the point-slope form y-y1 = m(x-x1). We substitute and get y - 12 = 2(x - 4). We distribute: y - 12 = 2x - 8. We add 12 to both sides to get our final answer, y = 2x + 4.
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Apply the product rules to determine the sign of each expression
sammy [17]

Answer:

Step-by-step explanation:

1). (\frac{-4}{9})\times (\frac{7}{4})=(-1)(\frac{4}{9})(\frac{7}{4} )

                =-\frac{7}{9} [Negative]

2). (-2\frac{3}{4})(-1\frac{1}{5})=(-1)(2\frac{3}{4})(-1)(1\frac{1}{5})

                        =(-1)^2(2\frac{3}{4})(1\frac{1}{5})

                        =(2\frac{3}{4})(1\frac{1}{5}) [Positive]

3). (3)(-3)(-3)(-3)(-3) = 3.(-1).3.(-1).3.(-1).3(-1).(3)

                              = (-1)⁴(3)⁵

                              = (3)⁵ [Positive]

4). (-\frac{1}{6})(-2)(-\frac{3}{5})(-9) = (-1)(\frac{1}{6})(-1)(2)(-1)(\frac{3}{5})(-1)(9)

                                   = (-1)^4(\frac{1}{6})(2)(\frac{3}{5})(9)

                                   = (\frac{1}{6})(2)(\frac{3}{5})(9) [Positive]

5). (-\frac{4}{7})(-\frac{3}{5})(-9)=(-1)(\frac{4}{7})(-1)(\frac{3}{5})(-1)(9)

                            =(-1)^3(\frac{4}{7})(\frac{3}{5})(9)

                            =-(\frac{4}{7})(\frac{3}{5})(9) [Negative]

6). (-\frac{10}{7})(\frac{8}{3})=(-1)(\frac{10}{7})(\frac{8}{3})

                    =-(\frac{10}{7})(\frac{8}{3}) [Negative]

3 0
3 years ago
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What is the least common multiple of 8 and 12?
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