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2 years ago

Can someone please Solve 5x+x^2=36

Mathematics

2 answers:

V125BC [204]2 years ago

7 0

X = 4 AND x = -9

Good luck.

Bogdan [553]2 years ago

4 0

To make this easier, rewrite the equation in descending order:
$x^{2} + 5x = 36$
Then, move everything to one side by subtracting 36 from either side $x^{2} +5x-36=0$
Next, factor the equation into two binomials:
$(x+9)(x-4)=0$
Then, split the two binomials and set them both equal to zero.
$x+9=0;x-4=0$
Then, simply, solve for x by isolating it:
$(x+9)-9=0-9;(x-4)+4=0+4 \\ x=-9;x=4$
Your two answers are x=-9 and x=4

If you're interested, you can check both answers by plugging them into the equation.

Hope this helps!

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Reflect across y axis means that you replace x with -x

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3 years ago

Read 2 more answers

How many 5-letter words can be made using exactly 5 of the letters from

kow [346]

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = $3C_{1} ^{5} + 2C_{2} ^{5}$

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = $3C_{1} ^{5} + 2C_{2} ^{5}$

Total number of ways = $3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )$

Total number of ways = $3(5) + 2(10)$

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

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1 year ago

Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is

juin [17]

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

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