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3 years ago

Factor completely and then place the factors in the proper location on the grid. 81a2 + 36a + 4

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

6 0

They are all perfect squares
(9x+2)(9x+20
(9x+2)^2

juin [17]3 years ago

3 0

The answer is (9a+2)2

hope this helps

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The x-coordinate of point P is positive, and the y-coordinate of point P is positive. In which quadrant is point P?

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The answer is Quadrant 1

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2 years ago

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Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)

Katen [24]

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

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2 years ago

What is the other solution??

Vladimir79 [104]

Answer:

The other solution is 12.

Step-by-step explanation:

Break the solution into groups: (x^2+2x)+(-12x-24)

Factor out the x^2 from the first group to get x(x+2)

Factor out the -12 out of the second group to get -12(x-12)

Here we get (x-12)(x+2)

You can see solutions are -2 and 12.

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3 years ago

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A recent poll of 120 randomly selected adults who frequent the local farmer's market found that 54 have purchased reusable clot

Olenka [21]

Answer:

95% Confidence interval: (0.361,0.539)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

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$\hat{p} = \dfrac{x}{n} = \dfrac{54}{120} = 0.45$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get:

$0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)$

is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth bags.

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3 years ago

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