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2 years ago

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

Mathematics

1 answer:

kondor19780726 [428]2 years ago

7 0

Answer:

It is equivalent to 15x – 3)(2x + 1) = 0. False

It is equivalent to (5x – 3)(2x + 1) = 0 True

Either x=-1/2 or 5/3

Step-by-step explanation:

Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.

It is equivalent to 15x – 3)(2x + 1) = 0. False

It is equivalent to (5x – 3)(2x + 1) = 0 True

When you take pull-out (2x+1), you will be left with (5x-3)

5x (2x + 1) - 3(2x + 1) = 0.

(2x+1)(5x-3)=0

Either 2x + 1 = 0

2x = -1

Divide both-side of the equation by 2

2x/2 = -1/2

x= -1/2

5x-3 =0

5x = 3

Divide both-side of the equation by 5

5x/5 = 3/5

x = 5/3

Either x=-1/2 or 5/3

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In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep

Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.

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A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random

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Step-by-step explanation:

An null hypothesis ( $H_0$ ) is a statement of equality which shows that there is no statistical difference between the groups being tested.

An alternative hypothesis ( $H_1$ ) is a statement of inequality which shows that there is statistical difference between the groups being tested.