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2 years ago

What number would you add to both sides of x^2+7x=4 to complete the square?

Mathematics

1 answer:

emmainna [20.7K]2 years ago

3 0

Answer:

49/4

Step-by-step explanation:

x^2+7x=4

Take the coefficient of x

Divide by 2

7/2

Then square it

(7/2) ^2 = 49/4

Add this to both sides of the equation to complete the square

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Please help!!

Marysya12 [62]

The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.

The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12

9/12 - 4/12 = 5/12

4 0

2 years ago

Read 2 more answers

What is the answer of:<br><img src="https://tex.z-dn.net/?f=2%20%5Cdiv%203%20%20%2B%20%20%5Csqrt%7B5%7D%20" id="TexFormula1" tit

pshichka [43]

Answer:

$\frac{2 \: + \: 3 \sqrt{5} }{3}$

Step-by-step explanation:

$\frac{2}{3} + \sqrt{5} =$

$= \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )$

$= \frac{2}{3} + \frac{3 \sqrt{5} }{3}$

$= \frac{2 \: + \: 3 \sqrt{5} }{3}$

4 0

1 year ago

What is −8≥−5x+7≥-33

Anuta_ua [19.1K]

I think the answer is 3 < x < 8. Make sure to have the underlines underneath the < signs!

5 0

2 years ago

if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi

Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that $p = 0.44$

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? 

This is P(X = 1) when n = 4. Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091$

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0

2 years ago

A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn

tigry1 [53]

Answer:

The tank will empty in 4 hours.

Step-by-step explanation:

Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:

0.5 x X = 5

X = 5 / 0.5

X = 10

10 x 6 = 60

1 hour = 51 liters

1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5

2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34

2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5

3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17

3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5

4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0

Therefore, the tank will empty in 4 hours.

3 0

2 years ago