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lys-0071 [83]
3 years ago
12

Joshua wants to complete the first mile of a 5-mile run in 10 minutes or less running at a steady pace. The inequality 5 - p 6 ≤

4 can be used to find p, the pace, in miles per hour, he can run to reach his goal. Solve the inequality.
Mathematics
1 answer:
elixir [45]3 years ago
3 0
The given inequality is
5 - p⁶ <span> ≤ 4 
Solving the inequality to find for the possible values of p
-p</span>⁶ <span> ≤ 4 - 5
</span>-p⁶  ≤ -9
p⁶  ≥ 9
p ≥ 1.44
The speed of Joshua is at least 1.44 miles per hour
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1 year ago
what is the equation of the line that is parallel to 6x-2y=4+6y and passes through the point (8, -16)?
Alisiya [41]

Answer:

y=\frac{3}{4}x-22

Step-by-step explanation:

We are given;

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We are required to determine the equation of a line parallel to the given line and passing through the given point.

  • One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

  • We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

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We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

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4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22

Thus, the equation required is y=\frac{3}{4}x-22

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Answer:

Step-by-step explanation:

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