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Alla [95]
3 years ago
13

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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11Alexandr11 [23.1K]

To factor: Notice that when you factor it should turn out to be a binomial x binomial.

x^2-10x+25

When factoring you can look at the operation at the end right before the last digit.  If the operation is positive then you will use the first operation in the binomial for factored number.  For example the ending operation is positive and the first operation is subtraction so both binomial will be subtraction.

I know it would be factored (x-5)(x-5) and I can prove it by multiplying it out.

x^2 -5x-5x+25

x^2-10x+25

6 0
3 years ago
A type of bamboo holds The Guinness world record for fastest growing plant. It can grow up to 91 cm per day. How fast in inches
Readme [11.4K]

Hey there! This problem seems tricky, but once we figure out how to solve, it becomes much more simple.

It looks like we have two conversions here:

Centimeters to Inches

Days to Hours


To convert them, we need to know their conversion rate, or in other words, how many centimeters are in an inch and how many hours are in a day.

2.54 cm. = 1 in.

1 day = 24 hours


Now that we have these in mind, all we need to do is a bit of division.

We will start with the expression "91 ÷ 24." This will break up our 91 centimeters into 24 hours, giving us the number of centimeters per hour. We use the "curvy equal sign" to show an approximate value.

91 ÷ 24 ≈ 3.7917

But wait! We aren't quite done yet. That expression only represents the number of centimeters per hour. Our question asks us for the inches per hour. Therefore, we need to do another expression.

If we use the expression "3.7917 ÷ 2.54," we will almost get an exact value. Keep in mind that the "2.54" represents how many centimeters are in an inch. Again, the "curvy equal sign" represents an approximate value.

3.7917 ÷ 2.54 ≈ 1.49


Using the logic above, we can say that the bamboo grows about 1.49 inches per hour.

If you have any follow up questions or need further explanations, feel free to ask in the comments!

6 0
3 years ago
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the lengt
ASHA 777 [7]

s+(2s+3)+12

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that the answers for this problem

6 0
4 years ago
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A jar has 5 red marbles, 3 blue marbles, and 2 green marbles. what is the probability that you would choose a red marble, return
denis23 [38]

Answer:

In Fraction  = 10/100  simplified =  1/10

Decimal = 0.1

Percentage = 10%

Step-by-step explanation:

We add all marbles = 5+ 3+ 2 = 10

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Event 2 = Green = 2/10

We follow this path and multiply =  2 x 5 /  10 x 10 =  10/100 = 1/10

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When can you use proportional reasoning to solve a problem?
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