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Verizon [17]
3 years ago
10

Brainliest for whoever gets this correct with working out

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

\frac{2x - 5}{x + 5}

Step-by-step explanation:

Firstly, you have to factorize the expressions on the numerator and denorminator :

Numerator :

2 {x}^{2}  - 3x - 5

= 2 {x}^{2}  + 2x - 5x - 5

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

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

Denorminator :

{x}^{2}  + 6x + 5

=  {x}^{2}  + x + 5x + 5

= x(x  +  1) + 5(x  + 1)

= (x  +  1)(x + 5)

Next, you have to put the factorized-form in the fraction and cut out the similar expressions :

\frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)}

=  \frac{2x - 5}{x + 5}

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PLEASE HELP! Will give brainliest! A bag contains 5 pink marbles and 6 green marbles. Two marbles will be selected one at a time
Karolina [17]

Answer:

The selection of the two marbles are <u>dependent</u> because the selection of the pink marble <u>changes</u> the probability that a green marble is drawn next.

If the pink marble had been put back into the bag, the selection of the two marbles would have been <u>independent</u>

======================================================

Explanation:

The key phrase to focus on here is "This marble is placed on a table". It implies that we do not put it back into the bag, and also implies we don't put in a replacement either. Hence we consider this scenario as "no replacement".

In no replacement situations, we always have dependent events. The second selection depends on the first one.

The probability of picking green is 6/11 because there are 6 green out of 5+6 = 11 total. But if we picked a pink one first and didn't put it back, then the 11 drops to 10 and we get 6/10 = 3/5 as the new probability.

In other words,

  • before the pink marble is selected, the chances of green are 6/11
  • after the pink marble is selected, and not put back, the chances of green are now 6/10 = 3/5

Because this probability changes, it's sufficient evidence to say the event of picking green on the second selection is dependent on the first selection of selecting pink.

If the marble had been put back, then we'd revert back to the original state of the bag. That would mean the chances of green would stay at 6/11. Therefore, situations with replacement lead to independent events.

5 0
2 years ago
7. A machine produces 900 light bulbs in 1 hour.<br> The rate is ___________ light bulbs per minute.
Ilia_Sergeevich [38]

Answer:

15

Step-by-step explanation:

900 light bulbs per hour

60 minutes per hour

X lightbulbs per minute

Divide 900 lightbulbs by 60 minutes

15

The rate is 15 light bulbs per minute

8 0
1 year ago
Explain how 3^7 + 2 must be an odd number
Firdavs [7]
It must be an odd number because 3^7 is also shown as:
3x3x3x3x3x3x3

Which equals:2,187

2,187 is an odd number because the last number is a 7 which is odd.
5 0
1 year ago
Sheila has 5 times as many markers as dave. together they have 18 markers. How many markers does sheila have
Karolina [17]

Answer:

15

Step-by-step explanation:

Let, x, represent the value of Dave's markers. You then make the equation (5x+x=18) because both markers combined is 18 and Sheila has 5 times the markers of Dave so her value would represent 5x. Solving the equation would get you x=3 BUT THAT IS THE VALUE OF DAVE'S MARKERS! The question asks for Sheila's with is 5*3. So the answer is 15 markers.

3 0
3 years ago
The total cost for 6 mangoes and four apples is $46. Which equation represent this information?
Eva8 [605]

Answer:

3x + 2y = 23

Step-by-step explanation:

mangoe = x

apple = y

6x + 4y = 46

<em>divide </em><em>them </em><em>by </em><em>2</em>

3x + 2y = 23

8 0
3 years ago
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