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vladimir1956 [14]
3 years ago
13

What is the factored form of this expression?

Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer:

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

9t²-4 = (3t)² - 2²

From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

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If Jake buys 3 new shirts, how many of them would you expect to be t-shirts, and how many would you expect to be collared?
Sophie [7]

Answer:

2 t-shirts ; 1 collar shirt

Step-by-step explanation:

We need to first obtain the ratio of T - shirts to collar shirts :

T - shirts = 10

Collar shirts = 5

Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1

Hence, using the ratio obtained ; if Jake buys 3 new shirts :

Number of T-shirts :

(Ratio of t-shirts / total ratio) * new t-shirts

2/3 * 3 = 2 t-shirts

Collar shirts :

1/3 * 3 = 1

2 t-shirts ; 1 collar shirt

4 0
2 years ago
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Dahasolnce [82]
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8 0
3 years ago
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Which choice could represent the volume of a cake pan
Sav [38]

Answer:

3150^3

Step-by-step explanation:

5 0
3 years ago
Michelle's salad uses 1ż tomatoes and
Bess [88]

Answer:

if Michelle's salad use 1tomato and servers 3 people which mean if she use 2 tomatoes she will server 6 people

Step-by-step explanation:

and caley's salad uses 2 tomatoes and servers 5 people

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4 0
2 years ago
a study studied the birth weights of 1,999 babies born in the United States. The mean weight was 3234 grams with a standard devi
Aleks [24]

Answer:

1899

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 3234

Standard deviation = 871

Percentage of newborns who weighed between 1492 grams and 4976 grams:

1492 = 3234 - 2*871

So 1492 is two standard deviations below the mean.

4976 = 3234 + 2*871

So 4976 is two standard deviations above the mean.

By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.

Out of 1999:

0.95*1999 = 1899

So the answer is 1899

8 0
3 years ago
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