Help! Will mark brainliest if correct!

Mathematics

1 answer:

kati45 [8]2 years ago

3 0

Answer:2284

Step-by-step explanation:

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If remove the zero from 0.76 would it change the value of the number

wariber [46]

Question 1:

<h3>Answer: The number does <u>not</u> change</h3>

Removing the zero from 0.76 leads to .76 which is the same as before. Both lead to $7.6 \times 10^{-1}$ in scientific notation.

Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.

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Question 2:

<h3>Answer: Yes the number changes</h3>

Taking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.

5 0

1 year ago

Write an equation for each translation of Y=|x|.

Digiron [165]

$\boxed{y=\mid x \mid +14}$

<h2>Explanation:</h2>

Let's graph the equation:

$y=\mid x \mid$

Which is the red graph shown below. As you can see this is the pattern of the Absolute Value Function. In order to translate this graph 14 units up, let's add 14 to $\mid x \mid$ . In doing so we get the new function:

$y=\mid x \mid + 14$

So we get a new graph which is the blue one. In order to prove that this is the correct translation, let's take the vertex of the red graph which is the origin. To translate this graph 14 units up implies that each point is shifted 14 units up, so for the vertex of the red graph:

$Vertex \ of \ the \ red \ graph: \\ \\ V(0,0) \\ \\ \\ Vertex \ of \ the \ new \ graph: \\ \\ (0,0+14) \\ \\ (0,14)$

So the new vertex matches the vertex of the blue graph. Finally, the equation for the translation of $y=\mid x \mid$ 14 units up is $y=\mid x \mid +14$