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2 years ago

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What is the form of the Difference of Squares identity ? A. a ^ 2 - b ^ 2 = (a - b)(a - b) B. a ^ 2 + b ^ 2 = (a - b)(a - b); a

^ 2 - b ^ 2 = (a + b)(a + b) O a ^ 2 - b ^ 2 = (a + b)(a - b)

1 answer:

lozanna [386]2 years ago

7 0

A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.

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Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a norm

tigry1 [53]

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: $P(x5.81)$

$=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]$

The percentage of legal quarters will be rejected by the vending machine = 2.275%

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2 years ago

If f(x) = x + 3 and g(x) = -7x + 7, which statement is true? Click on the correct answer. 5 is in the domain of fºg. 5 is not in

Studentka2010 [4]

Answer:

man you got this

Step-by-step explanation:

If f(x) = x + 9 and g(x) = 9x – 4, - 22024651. ... Click on the correct answer. 3 is not in the domain of fºg. 3 is in the domain of fºg. 1. See answer. Add answer+5 pts ... Answer: 3 is in the domain of f(g(x)). Step-by-step explanation: ... What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, ...

The domain is all real numbers except 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.

3 0

2 years ago

A train traveled 399 miles in 7 hours. Find the trains speed.

Andrews [41]

Answer:

57 mph

Step-by-step explanation:

were tryin to find its speed in the terms of mph which is miles per hour, so we need to find out how many miles it goes in a hour, so we divide 399 mph by 7 hours to get 57 mph.

8 0

3 years ago

Read 2 more answers

The product of two rational is (-28/81).if one of the number is -4/15.find other

Margaret [11]

Answer:

35/27

Step-by-step explanation:

We simply need to divide the product of the numbers (-28/81) by one of the numbers (-4/15):

$\frac{\frac{-28}{81}}{\frac{-4}{15} } \\ \\= \frac{-28}{81} * \frac{15}{-4} \\\\= \frac{7 * 5}{27} = \frac{35}{27}$

The second number is 35/27.

7 0

2 years ago

The length of the box is x

Romashka [77]

A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x

<h3>How to calculate the volume of a box</h3>

Length of box = x
Width of the box is 4 inches less than the length. Thus; width = x - 4
Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5

Now, the formula for volume of a box is;

V = length × width × height

Thus;

V = x • (x - 1) • (x - 5)

V = x(x² - x - 5x + 5)

V = x(x² - 6x + 5)

V(x) = x³ - 6x² + 5x

In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x

Read more on volume of a box at; brainly.com/question/15532376

3 0

2 years ago