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cestrela7 [59]
3 years ago
14

Select the polynomial that is a perfect square trinomial.

Mathematics
2 answers:
Sveta_85 [38]3 years ago
7 0

Answer:

The answer is 16x2 − 8x + 1

To be a perfect square trinomial, the rule must be used:

(a - b)² = a² - 2ab + b²

Let's check all choices

A. a = 7x, b = 4

(7x - 4)² = 49x² - 56x + 16

B. a = 2a, b = 5

(2a - 5)² = 4a² - 20a + 25

C. a = 5b, b = √10

(5b - √10)² = 25b² - 10√10 b + 10

D. a = 4x, b = 1

(4x - 1)² = 16x² - 8x + 1

CORRECT

Step-by-step explanation:

cestrela7 [59]3 years ago
3 0
The answer is <span>16x2 − 8x + 1
</span>
To be a perfect square trinomial, the rule must be used:
(a - b)² = a² - 2ab + b²

Let's check all choices
A. a = 7x, b = 4
(7x - 4)² = 49x² - 56x + 16

B. a = 2a, b = 5
(2a - 5)² = 4a² - 20a + 25

C. a = 5b, b = √10
(5b - √10)² = 25b² - 10√10 b + 10

D. a = 4x, b = 1
(4x - 1)² = 16x² - 8x + 1
CORRECT
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3 years ago
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

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P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

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P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

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3 years ago
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