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2 years ago

What is an equation of a line that passes through the point (-3 -7) and it’s parallel to the line 2x-3y=24

Mathematics

1 answer:

andrew-mc [135]2 years ago

6 0

Answer:

y=(-2/3)x-9

Step-by-step explanation:

1) first put the equation in terms of y. You should get y=-(2/3)x-8.

2) parallel lines have the same slope so the slope for this line and the answer should be the same

3) using the form y=mx+b plug (-2/3) in as the slope or m

4) plug the point in to get your b value. you should have -7 =((-2/3)•(-3))+b

5) isolate the variable b and plug in your answer to the equation.

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What is the average price of an item sold considering quantity? 12 notepads at $4.20 25 folders at $0.80 3 calculators at $19.00

Savatey [412]

Answer:

Average price = $3.185

Step-by-step explanation:

Given:

12 notepads = $4.20 each

25 folders = $0.80 each

3 calculators = $19.00 each

Find:

Average price

Computation:

Average price = Total cost / Total number of item

Average price = [(12)(4.20) + (25)(0.80) + (3)(19)] / [12 + 25 + 3]

Average price = [(50.4) + (20) + (57)] / [40]

Average price = [127.4] / [40]

Average price = $3.185

7 0

2 years ago

Suppose the names of the months of the year are placed in a hat and a name is drawn at random. (a) list the sample space for thi

ollegr [7]

(a)

The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:

$\Omega = \{ \text{January},\ \text{February},\ldots,\text{December}\}$

(b)

An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as

$E = \{ x \in \Omega: x \text{ starts with the letter J}\}$

So, we have

$E = \{\text{January},\ \text{June},\ \text{July}\}$

(c)

If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:

$P(E) = \dfrac{n(E)}{n(\Omega)} = \dfrac{3}{12} = \dfrac{1}{4}$

In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.

3 0

2 years ago

The number of girls at middle school cyber summer camp was six more than twice the number of boys. There were a total of 156 mid

nordsb [41]

Ok so if you did 156-6 (considering it was 6 more you want to subtract it) and then because the girls was doubled the boys (you are now at 150) you must divide that by 3 which will give you 50. But you need to double it (for girls) which is 100 and then you have 50 left over which is for the boys. Boys=50 girls=106

8 0

2 years ago

If g(x ) = 3x - 5, then g -1(x )=

NemiM [27]

G(x) = 3x - 5

let g(x) = y

y = 3x - 5

y + 5 = 3x

3x = y + 5

x = (y + 5)/3

From y = g(x), x = g⁻¹(y)

x = (y + 5)/3

g⁻¹(y) = (y + 5)/3

g⁻¹(x) = (x + 5)/3

6 0

2 years ago

Which of the following is the Pythagorean theorem

noname [10]

Answer:

$a^2+b^2=c^2$

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula $a^2+b^2=c^2$ is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

4 0

3 years ago