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sesenic [268]
3 years ago
9

Sam decides to build a square garden. If the area of the garden is 9x2 − 24x + 16 square feet, what is the length of one side of

the garden?
(3x + 4) feet

(3x − 4) feet

(4x − 3) feet

(4x + 3) feet ...?
Mathematics
2 answers:
Pachacha [2.7K]3 years ago
6 0
<span>(3x − 4) feet

Solve as a square:
(3x - 4)(3x - 4) = </span><span>9x</span>²<span> − 24x + 16</span>
worty [1.4K]3 years ago
5 0

Answer:  The correct option is (B) (3x-4).

Step-by-step explanation:  Given that Sam decides to build a square garden whose area is as follows:

A=9x^2-24x+16~\textup{square feet}.

We are to find the length of one side of the garden.

Since the given garden is of a square shape, so the length of each side is same.

That is, the area of the garden must be a perfect square trinomial.

We have

A\\\\=9x^2-24x+16\\\\=(3x)^2-2\times 3x\times 4+4^2\\\\=(3x-4)^2.

Since the area of a square is (length)², so the length of one side of the garden is (3x-4)~\textup{feet}.

Thus, (B) is the correct option.

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There are 8 times as many females as males on the maths course at university. What fraction of the course are female?
Tcecarenko [31]

Answer:

Step-by-step explanation:

Let the males = x

Let the females = 8x

Let the total in the class = x + 8x = 9x

Females = 8x / 9x = 8/9

If you want the decimal, it is .889

4 0
2 years ago
1.What effect does replacing x with x−4 have on the graph for the function f(x) ?
Gwar [14]

Answer:

The absolute value wiill change

Step-by-step explanation:

Inserting different values in the absolute value can change the numerical value of the equation as a whole.

3 0
2 years ago
Read 2 more answers
Please help due today
umka21 [38]

Answer:

y=2 x=3 i think

Step-by-step explanation:

2y+3=y+5

y=5-3

y=2

4x-3=4y+1

4x-3=4×2+1

4x-3=9

4x=9+3

4x=12

x=12/4

×=3

3 0
2 years ago
18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are b
Masteriza [31]
The percentage of apples that are bad is 25%. This is because 25% of 24 is 6. I hope this helped! 
5 0
2 years ago
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