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Lera25 [3.4K]
3 years ago
7

25x^2-16 how to factor

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

Did you learn how to factor the difference of two squares ?

This thing is the difference of two squares.

The first term is the square of      5x .
The second term is the square of  4 .

When it's factored, it's

              (sum of the square roots) x (difference of the square roots) .

               25 x² - 16     =     (5x + 4) times (5x - 4) .

To check it, go ahead and FOIL that out, and you'll get    25x²-16 .

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What is 420/15 simplified to
Ghella [55]
So,

In order to simplify a fraction, we have to factor both the numerator and the denominator.
\frac{420}{15} --\ \textgreater \   \frac{2*2*3*5*7}{3*5}

Cross out ones.
\frac{2*2*7}{1}\ or\ 28
3 0
3 years ago
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The half-life of the radioactive element unobtanium-43 is 10 seconds. If 48 grams of unobtanium-43 are initially present, how ma
natka813 [3]

Answer:

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

Step-by-step explanation:

Given;

initial mass of the radioactive element  = 48 grams

half life, t = 10 seconds

time of decay (s)                          remaining mass of the  radioactive element

0 ------------------------------------------------- 48 grams

10------------------------------------------------- 24 grams

20 ------------------------------------------------- 12 grams

30 -------------------------------------------------- 6 grams

40 --------------------------------------------------- 3 grams

50 ----------------------------------------------------- 1.5 grams

60------------------------------------------------------0.75 grams

Thus;

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

7 0
3 years ago
Maya has 5/6 cup of ice cream. How many 1/4-cup servings are in 5/6 cup of ice cream?
Alla [95]

Answer:

3 and 1 over 3.

Step-by-step explanation:

We divide 5/6  by 1/4.

5 /6 / 1/4

= 5/6 * 4

= 20/6

= 3  2/6

= 3 1/3.

8 0
3 years ago
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Melissa has enough paint to cover an area of 250 square feet.she want to paint two walls.the rectangular wall is 9 feet high and
liraira [26]

Answer:

No she doesn't have enough paint.

Step-by-step explanation:

You have to find the area of both walls then subtract both areas by 250. It would give you a negative number, meaning there is not enough paint.

5 0
3 years ago
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Udrey used compensation to mentally solve the subtraction problem 5.35−0.07
Licemer1 [7]
The last step you need to do is 5.25+0.03, because you took away 0.03 more than what the question asked so you need to add the 0.03 back, which gets you the final result of 5.28.
6 0
3 years ago
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