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3 years ago

Write an equation parallel to y=3x+6 that passes through the point (4, 7)

Mathematics

1 answer:

HACTEHA [7]3 years ago

5 0

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line parallel to y=3x+6 has exactly the same form but a different constant on the right: y=3x+C

To find C, take the coordinates of the given point and substitute them into y=3x+C:

7 = 3(4) + C, or

7 = 12 + C, and so C = -5

The desired equation is y = 3x - 5

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Noah made 12 \text{ kg}12 kg12, start text, space, k, g, end text of trail mix for his family's hiking trip. His family ate 8{,}

malfutka [58]

Answer:

3,400 g

Step-by-step explanation:

The computation of the grams of trail he left is shown below:

As we know that

1 kg = 1000g

So for 12 kg it is = 12000 g

And, his family ate 8,600 g mix on the hiking trip

So, the trial mix did he have left is

= 12,000 g - 8,600 g

= 3,400 g

6 0

3 years ago

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Anuta_ua [19.1K]

Answer:

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5 0

3 years ago

Read 2 more answers

What's the answer to this??

Vitek1552 [10]

(2x^3 + 8x )/(4x^5)
= {2x (x^2 + 4)}/ (2x)(2x^4)
= (x^2 +4)/(2x^4)

4 0

3 years ago

The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.

erastovalidia [21]

Answer:

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.

0 11 0 11

1 52 52 63

2 66 132 129

3 35 105 164

4 19 76 183

5 12 60 195

6 5 30 200

$\sum (f\times x) = 455$

Number of households = 200

Mean = $\sum \frac{f.x}{n}$

= $\frac{455}{200}$

= 2.275

Median = value of $\frac{(n+1)}{2}th$ observation

= value of $\frac{201}{2}th$ observation

= Value of 100.5th observation

= Since 100.5th observation lies in the row of cumulative freq. = 129

= 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

6 0

3 years ago

The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as

Troyanec [42]

They could have assembled total 336 different possible crews.

Explanation

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, 2 pilots are chosen from total 9 and 1 geologist is chosen from total 4.

Number of ways for choosing 2 pilots from 9 $= ^9C_{3} =84$ and

Number of ways for choosing 1 geologist from 4 $=^4C_{1}= 4$

So, the total possible number of different crews they could have assembled $=84*4= 336$

8 0

3 years ago