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Reptile [31]
2 years ago
9

Help me please by solving and showing the steps:)

Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Answer:

-\frac{3\sqrt[3]{t} }{2}

Step-by-step explanation:

1: Write g(t) as y, resulting in y=-\frac{8}{27}t^3

2: Interchange the variables y and t, resulting in t=-\frac{8}{27}y^3

3: Multiply both sides by 27, resulting in 27t=-8y^3

4: Divide both sides by -8, resulting in -\frac{27t}{8}=y^3

5: Find the cube root of both sides, resulting in \sqrt[3]{-\frac{27t}{8} }=y

6: Apply a radical rule, resulting in -\sqrt[3]{\frac{27t}{8} } =y

7: Apply another radical rule, resulting in -\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y

8: Simplify the denominator, resulting in  -\frac{\sqrt[3]{27t} }{2} =y

9: Apply yet another radical rule, resulting in -\frac{\sqrt[3]{27}\sqrt[3]{t}   }{2} =y

10: Simplify \sqrt[3]{27}, resulting in -\frac{3\sqrt[3]{t}   }{2} =y

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Answer:

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Step-by-step explanation:

From the given we see immediately that the slope of this line is -1.  The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1.  The slope-intercept form is y = mx + b.  To find b, the y-intercept, we make the following substitutions:  m = -1, y = -2, x = -2:

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and so the desired equation is y = x - 1 (third answer choice)

4 0
3 years ago
What is the value of 3ab+ 50-6 when a=-1 and b=3?<br> оо<br> O 6<br> 18<br> o o<br> O 24
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Answer:

0

Step-by-step explanation:

3ab + 5b - 6 when a = -1 and b is 3

→ First substitute a and b into 3ab

3 × -1 × 3 = -9

→ Substitute b into 5b

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→ Connect all the terms together

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→ Simplify

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3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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3 years ago
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3 years ago
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3 years ago
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