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2 years ago

Write a numerical expression to represent the phrase. the difference of 4 cubed and 25

Mathematics

1 answer:

7nadin3 [17]2 years ago

3 0

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

4³

Subtract:

4³-25

[If necessary] Evaluate:

64-25

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

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3 years ago

From the information in the graph, what is the mode for the number of books the boys read?

Natalija [7]

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3 years ago

Y= |x−3| + |x+2| − |x−5|, if x>5<br> I need to know what y equals.

olganol [36]

Answer:

$y \ge9$

Step-by-step explanation:

The given function is

$y = |x - 3| + |x + 2| - |x - 5|$

By the triangle inequality property,

$|x + y| \leqslant |x| + |y|$

and the alternate triangle inequality property;

$|x - y| \geqslant |x| - |y|$

We apply this property to get:

$y \geqslant |x | - |3| + |x | + |2| -( |x | - |5| )$

Expand parenthesis to get:

$y \geqslant |x | - |3| + |x | + |2| - |x | + |5|$

Simplify to get:

$y \geqslant |x | - 3+ |x | + 2- |x | + 5$

Group similar terms to get:

$y \geqslant |x | + |x | - |x | - 3 + 2+ 5$

$y \geqslant |x | + 4$

When x>5,

$y \geqslant |5 | + 4$

That's;

$y \geqslant 5 + 4 \\ y \geqslant 9$

5 0

3 years ago