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3 years ago

The line AB is parallel to the line with equation 2y = 3x -4

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

First, let's simplify the given equation to make it easier to see the gradient (slope).

2y = 3x - 4 (Given)

y = 3/2x - 2 (Divided 2 on both sides)

Now, we can see that the gradient of the given line is 3/2. Since line AB is parallel to the given line, it will have the same gradient. Therefore, line AB's gradient is 3/2.

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A search committee is formed to find a new software engineer.

Free_Kalibri [48]

Answer:

(a) 1,902,231,808,400

(b) 84

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot(n-k)!}$

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

${100\choose 9}=\frac{100!}{9!\cdot(100-9)!}$

$=\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400$

(b)

Compute the number of ways to select 6 people from 9 as follows:

${9\choose 6}=\frac{9!}{6!\cdot(9-6)!}$

$=\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84$

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

${6\choose 3}=\frac{6!}{3!\cdot(6-3)!}$

$=\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20$

7 0

3 years ago

Which is NOT a proposition

ladessa [460]

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

8 0

3 years ago

(3,2) and (4,9) = y=7x-19 or y=7x+21

Mumz [18]

When solving for this problem, replace x with the first coordinate and solve. if the answer is what you have for the second, it is correct. The first number in an ordered pair is your x and the second is your y. So I would rewrite the equation like this and solve.

y=7x-19 y=7x+21

2=7(3)-19 9=7(4)-19 2=7(3)+21 9=7(4)+21

2=21-19 9=28-19 2=21+21 9=28+21

2=2 9=9 2=42 9=49

as you can see it is the first equation.

3 0

3 years ago

Solve the following equation. Then place the correct number in the box provided. x/8=.42

Anuta_ua [19.1K]

Answer: 3.36

Step-by-step explanation:

hello. My name is Mary. I am in 7th grade.

So On the left side you see that it is division so you do the inverse operation which is multiplication. You cross out x/8 and go to the right side . .42 times 8 s 3.36. X=3.36.

6 0

3 years ago

Nora has 21 pencils. She packs boxes with 7 pencils in each box. How many boxes will Nora use? Write the equation and answer.

elixir [45]

Answer:

3 boxes

Step-by-step explanation:

divide 21 by 7

6 0

3 years ago

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