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3 years ago

Solve the equation. Check your solution.

Mathematics

1 answer:

Tasya [4]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

x^2/(x + 5) = 25/(x+5) Subtract the right side from both sides.

x^2/(x + 5) - 25/(x + 5) = 0

x^2 - 25

======= = 0

x + 5

(x + 5)(x - 5)

============= = 0

(x + 5)

Cancel x + 5 in the numerator and denominator.

x - 5 = 0

x = + 5

Does it check?

x^2/(x + 5) = 25/(x + 5)

x = 5

5^2/(10) = 25/10

25/10 = 25/10 Yes it checks.

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3 years ago

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes

Shtirlitz [24]

The probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be 13%.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews.

He performs an experiment.

Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag.

Oliver performs the experiment 23 times.

The results are shown below:

A pineapple chew was selected 17 times.

A lemon chew was selected 4 times.

A peach chew was selected 2 times.

Then the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number will be

Total event = 24 times

Favorable event = 3 times

Then we have

P = 3 / 24 x 100

P = 0.125 x 100

P = 12.5%

P ≅ 13%

More about the probability link is given below.

brainly.com/question/795909

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2 years ago

What is the nth term rule of the linear sequence below?<br> -4,-1,2,5,8,...

storchak [24]

Answer:

The nth term of the given sequence tₙ = 3 n - 7

Step-by-step explanation:

Given sequence - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

The nth term of given sequence

$t _{n} = a + ( n-1 ) d$

$= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7$

<u><em>Final answer:</em></u>-

The nth term of the given sequence tₙ = 3 n - 7

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3 years ago