3 years ago

Which equation represents the relationship between x and y in the table below?

1 answer:

8 0

Answer is <span>D. y= -4x

x = -1, y = </span><span>-4x = -4(-1) = 4
</span>x = 3, y = -4x = -4(3) = -12
x = 5, y = -4x = -4(5) = -20
x = 9, y = -4x = -4(9) = -36

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Calculate the mass of a rectangular solid that has a density of 2.53 g/cm3 and which measures 25 mm by 1.80 cm by 3.00 cm.

Annette [7]

Mass = density x volume
1st we need to get the volume
V = (25*10^-1) * (1.8) * (3)
V = 13.5 cm3
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3 0

3 years ago

What is the average rate of change of the function over the interval x = 0 to x = 8?

salantis [7]

Ans: The average rate of change of function = $\frac{1}{102}$ (in fraction)

Explanation:
The average rate of change of function = $\frac{f(b) - f(a)}{b - a}$

Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)

$f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102}$

Hence the average rate of change of function = $\frac{1}{102}$ (in fraction)

5 0

3 years ago

Consider the point (x,y) lying on the graph of the line 6x + 4y = 7. Let L be the distance from the point (x,y) to the origin

alukav5142 [94]

Try this solution, note, the shown way is not the shortest one.

The answer is marked with red colour.