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Minchanka [31]
3 years ago
11

A typical dwarf sperm whale, the planets smallest whale species, weighs about 3*10^2 pounds. A blue whale, the planets largest w

hale, might weigh about 4.5*10^5 pounds. How many times heavier a blue whale is than a dwarf sperm whale.
Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

Answer:

I hope this helps

Step-by-step explanation:

just divide the mass of the blue whale by the mass of the sperm whale

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Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = negative 2 over 3x + 3.
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Parallel lines have the same slope, but different y-intercepts

The slope of both lines is -2/3

To find the equation that passes through (7, 3) we can use the point-slope formula: y - y1 = m (x - x1)

y - (3) = (-2/3) (x - (7))

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or

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Write a quadratic equation given the roots -1/3 and 5, show your work
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\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

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These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

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Rewrite the equation.

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3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

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