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3 years ago

The system of equation 3x-6y=30 and 2x-4y=3 is

Mathematics

1 answer:

Anna11 [10]3 years ago

6 0

No solution as they are parallel lines. so, inconsistent

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5p + 8 = 7p + 2 (Finding Common Denominators)

steposvetlana [31]

<span>Simplifying 7p + 2 = 5p + 8 Reorder the terms: 2 + 7p = 5p + 8 Reorder the terms: 2 + 7p = 8 + 5p Solving 2 + 7p = 8 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 7p + -5p = 8 + 5p + -5p</span>

8 0

3 years ago

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According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.

Andrei [34K]

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

7 0

2 years ago

A movie streaming website charges an initial fee of $80, plus $4 for each movie that is streamed. How many movies must be stream

pochemuha

Answer:

80 movies must be streamed.

Step-by-step explanation:

To find the average cost, you must divide the total cost by the number of movies watched.

When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.

The equation is shown as such:

average cost = (total cost)/(number of movies)

Your total cost can be represented as $4x + 80$ , while the number of movies is represented as $x$ .

You want the average to equal 5, so your equation is shown as follows:

$5 = (4x+80)/x$

simplifying this, we get

$5 = 4 + \frac{80}{x}$

which can then be simplified to

$1 = \frac{80}{x}$

X = 80 movies.

4 0

3 years ago

The sums that appear when two fair? four-sided dice? (tetrahedrons) with sides 1?, 2?, 3?, and 4 are tossed

Karolina [17]

Answer:

The possible sums are 2, 3, 4, 5, 6, 7 & 8 (but they're not all equally likely)

Step-by-step explanation:

For example, the only way to get a sum of 2 is to roll a 1 and then a 1

And the only way to get a sum of 8 is to roll a 4 and then a 4 (imagine you don't roll the two dice simultaneously; this will help you to see the "other possibilities" that aren't obvious at first)

The probability of rolling a sum of 2 = probability of rolling sum of 8 (1/16 probability for each)

If you roll a 1 then a 2, or a 2 then a 1, there are 2 ways to get a sum of 3

If you roll a 3 then a 1, a 2 then a 2, or a 1 then a 3, there are 3 ways to get a sum of 4

If you roll a 4 then a 1, a 3 then a 2, a 2 then a 3, or a 1 then a 4, there are 4 ways to get a sum of 5 (5 is the most likely sum)

If you roll a 4 then a 2, a 3 then a 3, or a 2 then a 4, there are 3 ways to get a sum of 6

If you roll a 4 then a 3, or a 3 then a 4, there are 2 ways to get a sum of 7

5 0

3 years ago

The price of a theater tickets 56.89.There are 22 seats in each row of the theater .How much would it cost to buy tickets for 2

mihalych1998 [28]

Answer:

Step-by-step explanation:

one row has 22 seats

2 rows have 44 seats

44x56.89=2,503.16

5 0

3 years ago

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