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3 years ago

In scientific notation. Choose the answer with the proper number of significant figures. (3x10^4)(4x10^23)

1 answer:

6 0

It would be choice B.

This is because the 3 is distributed to the 4 to get 12. The 10^4 is distributed to the 10^23 and because of the exponent laws, the exponents are added to get 27 and the 10's (being the base) is left alone.

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Is 0.21 smaller or bigger than a half?

Savatey [412]

Smaller, since a half equals to 0.50

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3 years ago

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(x5 - 10x2 - 8) (x - 2)

krek1111 [17]

x5 - 10x2 - 8
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x - 2

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3 years ago

Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr

sergiy2304 [10]

Answer:

Raised by $2.25/month

Step-by-step explanation:

9000/1000=9

28-25=3

3*9=27

27/12=$2.25

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4 years ago

Please help with the attached question. Thanks

Mademuasel [1]

Answer:

Choice A) $F(x) = 3\sqrt{x + 1}$ .

Step-by-step explanation:

What are the changes that would bring $G(x)$ to $F(x)$ ?

Translate $G(x)$ to the left by $1$ unit, and
Stretch $G(x)$ vertically (by a factor greater than $1$ .)

$G(x) = \sqrt{x}$ . The choices of $F(x)$ listed here are related to $G(x)$ :

Choice A) $F(x) = 3\;G(x+1)$ ;
Choice B) $F(x) = 3\;G(x-1)$ ;
Choice C) $F(x) = -3\;G(x+1)$ ;
Choice D) $F(x) = -3\;G(x-1)$ .

The expression in the braces (for example $x$ as in $G(x)$ ) is the independent variable.

To shift a function on a cartesian plane to the left by $a$ units, add $a$ to its independent variable. Think about how $(x-a)$ , which is to the left of $x$ , will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by $a$ units, subtract $a$ from its independent variable.

For example, $G(x+1)$ is $1$ unit to the left of $G(x)$ . Conversely, $G(x-1)$ is $1$ unit to the right of $G(x)$ . The new function is to the left of $G(x)$ . Meaning that $F(x)$ should should add $1$ to (rather than subtract $1$ from) the independent variable of $G(x)$ . That rules out choice B) and D).

Multiplying a function by a number that is greater than one will stretch its graph vertically.
Multiplying a function by a number that is between zero and one will compress its graph vertically.
Multiplying a function by a number that is between $-1$ and zero will flip its graph about the $x$ -axis. Doing so will also compress the graph vertically.
Multiplying a function by a number that is less than $-1$ will flip its graph about the $x$ -axis. Doing so will also stretch the graph vertically.

The graph of $G(x)$ is stretched vertically. However, similarly to the graph of this graph $G(x)$ , the graph of $F(x)$ increases as $x$ increases. In other words, the graph of $G(x)$ isn't flipped about the $x$ -axis. $G(x)$ should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points $(x, y)$ 's that are on the graph of $F(x)$ fit into the expression $y = F(x) = 3\sqrt{x - 1}$ .

5 0

3 years ago

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At the candy store, Jonathan bought 1.74 pounds of gumdrops, 2.2 pounds of jellybeans, and 1.38 pounds of licorice. How much did

GenaCL600 [577]

Answer:

5.32 lbs

Step-by-step explanation:

add all of them together, this is common sense math you should know how to do this.

3 0

3 years ago

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