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VARVARA [1.3K]
3 years ago
15

Simplify. x+7/x^2+4x-21

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0
To silpify the expression we proceed as follows:
(x+7)/(x^2+4x-21)
Factorizing the given the denominator:
x^2+4x-21
x^2-3x+7x-21
=x(x-3)+7(x-3)
=(x-3)(x+7)
thus plugging back in our expression we have:
(x+7)/[(x-3)(x+7)]
simplifying this we obtain:
1/(x+3) 

Answer: 1/(x+3) 

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2. How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can he make, and how man
Readme [11.4K]
Divide 64 by multiple numbers, and if they divide evenly that’s how many will be in each bag for the number of bags (number you divided by). For example, dividing 64 by 8 (bags) would be 8 cookies in each bag. You can do this with multiple numbers as long as it goes in evenly
7 0
2 years ago
Brent created a mural, 4/5 of which he painted in shades of blue. Three eighths of the blue area is sky blue. What portion of th
Snezhnost [94]

Answer: \frac{3}{10} of the mural is sky blue.


Step-by-step explanation:

Let x be the full portion of mural.

Since, \frac{4}{5} of mural is painted in shades of blue.

Therefore, the blue portion=\frac{4}{5}x

Also, Three eighths of the blue area is sky blue.

Therefore, the portion of the mural is sky blue=\frac{3}{8}\times\frac{4}{5}x

The portion of the mural is sky blue=\frac{12}{40}x

Simplify, by dividing numerator and denominator by 4, we get

The portion of the mural is sky blue=\frac{3}{10}x


5 0
2 years ago
12.
kondaur [170]

Answer:

70kilometers

Step-by-step explanation:

first we must find how much one half of a centimeter is

well, its easy, theres already a half for the distance, and the representation is an even number, so cut it in half.

20-10 is 10

and now the multiplication

20x3=60

60+10=70

70 kilometers

3 0
2 years ago
15 divided by negative 12
meriva

Answer:

-5/4 or -1.25

Step-by-step explanation:

we use the long division method to find the answer goodluck

8 0
2 years ago
How to write Equation of a line that is perpendicular to the line y=3x-5 and passes through the point (5,10)​
Nitella [24]
Y=3x-5 and passes through the point 5,10 should be 56
5 0
2 years ago
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