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3 years ago

Write the equation of the line that passes through the points (-3, - 5) and (-9,3). Express your answer in

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

that's the answer

Step-by-step explanation:

$slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{3 - - 5}{ - 9 - - 3} = \frac{8}{ - 6} \\ \frac{y - 3}{x - - 9} = \frac{8}{ - 6} \\ - 6(y - 3) = 8(x - - 9) \\ - 6y + 18 = 8x + 72 \\ - 6y = 8x + 72 -18 \\ - 6y = 8x + 54 \\ \frac{ - 6y}{ - 6} = \frac{8x}{ - 6} + \frac{54}{ - 6} \\ y = \frac{8x}{ - 6} - 9$

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Need help with this please

Crazy boy [7]

Answer:

1. 2(k + 3)

2. 3. 75 + k

Step-by-step explanation:

1. 2x + 6

Since, 2 is a common factor of 2 and 6, we can take that common outside.

So, 2x + 6 = 2(x + 3)

Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.

2. (1.5 + k) + 2.25

This is simple addition. We can simply remove the brackets to have:

1.5 + k + 2.25

Since, the like terms can be added, we will have:

1.5 + 2. 25 + k

= 3. 75 + k

8 0

3 years ago

Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie

vagabundo [1.1K]

Answer:

About 0.71 of the field

7 0

3 years ago

You purchase 26 parking hours that you can use the next month to park your food truck at the fair. Weekday hours park $2 per hou

ICE Princess25 [194]

Answer:

Number of week day hours purchased is 5

Step-by-step explanation:

Total number of Parking hours purchased = 26 parking hours

Parking cost on weekdays = $2 per hour

Parking costs on weekends = $10 per hour

Total amount spent on parking = $220.

To Find:

Number of week days purchased = ?

Solution:

Let

The number of week days purchased be x

The number of weekends purchased be y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=> $x\times 2 + y \times 10$ = 220

=> $x \times 2 + (26-x) \times 10 =220$

=>2x + 260 -10x =220

=>260 -8x = 220

=>260 -220 =8x

=>40 = 8x

=>x= $\frac{40}{8}$

x= 5-------------------------------------------(2)

Now substituting (2) in (1) we get

y= 26-5

y= 21

7 0

4 years ago

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

3 years ago

Helpp me out pls!!!!!!!!!

dsp73

Answer:

a. Maurice walked farther.

b. 0.62 m

Step-by-step explanation:

Maurice

4.1 × 1.8 = 7.38 miles

Junnie

2.5 × 3.2 = 8 miles

This shows that Junnie walked more than Maurice.

8 - 7.38 = 0.62

Junnie walked 0.62 m more than Maurice

5 0

3 years ago