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lubasha [3.4K]
3 years ago
12

Which ordered pair is a to the equation y=6x -2

Mathematics
1 answer:
lozanna [386]3 years ago
6 0
<h3>Answer: choice D.  (5, 28)</h3>

====================================================

Explanation:

The idea is to plug in each pair of coordinates and see if you get a true equation. Choice A does not work because

y = 6x-2

20 = 6(6)-2 ... plugged in x = 6 and y = 20

20 = 36-2

20 = 34

we have a false equation. So this shows choice A does not work.

--------

However, choice D does work since...

y = 6x-2

28 = 6(5)-2 .... plug in (x,y) = (5,28)

28 = 30-2

28 = 28

Put another way, if we plugged x = 5 into the equation, then we'd get y = 28. Therefore, showing (5,28) is a point on the line y = 6x-2.

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Michael can spend a maximum of $234 on office supplies. Each ream of paper costs $6. Each ink cartridge costs $18. Which of the
Mashutka [201]
There is no graph in your question. If p is number of reams of paper, and c is number of ink cartridges, then

3p + c = 234, wich p and c natural numbers (including 0)

This means that 13 ink cartridges and 0 paper will satisfy the end amount, but also 0 ink cartridges and 39 paper. There are 14 combinations possible.


5 0
3 years ago
Read 2 more answers
There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
Elvaluate the expression.<br>9!/3!<br>a) 3<br>b) 6<br>c) 60,480<br>d) 362,874​
HACTEHA [7]

Answer:

c) 60,480

Step-by-step explanation:

9×8×7×6×5×4×3×2×1

÷

3×2×1

Cancel same numbers in the numerator and denominator.

So you're going to have= 9×8×7×6×5×4 divided by 1

Which gives you, 60,480.

Hope this helped:) Mark me brainiest please.

4 0
3 years ago
Graph the function y=√x+1-4. Which point lies on the graph?
nataly862011 [7]
The answer is C (-1,-4)
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8 0
2 years ago
Which quantity is proportional to 20/5?
kirza4 [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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