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emmainna [20.7K]
2 years ago
14

Find the slope and the y-intercept of the line. y = 8x - 1

Mathematics
1 answer:
mr_godi [17]2 years ago
8 0

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

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Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm
salantis [7]

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = Side ^3

The volume of a each ice cubes is =3.5^3 cm³

                                                        = 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

\Rightarrow x=\frac{2000}{39.18775}

\Rightarrow x\approx 51

Frank can put 5 cubes in the box.

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3 years ago
Diego and Pablo disagree on whether 0.8759 is a rational number or not. Diego says it is not rational, and Pablo says that it is
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Pablo is correct because , the number 0.8759 is rational number because it doesn't go on like pi or the square root of 2 it stops at a certain point and was probably rounded . I'm not sure if its 100% correct.

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Answer:

Step-by-step explanation:

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what is the equation in slope intercept form of the line that passes through the point (-4,47) and (2,-16)
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The slope-intercept form:

y=mx+b

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m=\dfrac{y_2-y_1}{x_2-x_1}

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m=\dfrac{-16-47}{2-(-4)}=\dfrac{-63}{6}=-\dfrac{63:3}{6:3}=-\dfrac{21}{2}

Therefore we have:

y=-\dfrac{21}{2}x+b

Put the coordinates of the point (2, -16) to the equation:

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