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Anvisha [2.4K]
3 years ago
14

What’s four less than five times a number equal to 11

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0
A number: n
five times a number: 5n
four less than five times a number: 5n - 4
four less than five times a number equals 11: 5n - 4 = 11

5n - 4 = 11

5n = 15

n = 3

The number is 3.
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Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.
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What is the value of h(a) when a = 2 in the
Ivahew [28]
<h3>Answer:   3</h3>

=========================================================

Explanation:

This is the given piecewise function

h(a) = \begin{cases}3a+2 \text{ when } a > 3\\4a+5 \text{ when } a = 3\\3 \text{ when } a < 3\\\end{cases}

We can rewrite things like this

\text{when } a > 3, \ \  h(a) = 3a+2\\\text{when } a = 3, \ \  h(a) = 4a+5\\\text{when }a < 3, \ \  h(a) = 3\\

I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.

The input a = 2 fits the description of a < 3 since 2 < 3 is a true statement. Therefore we go for the third line and can see that h(a) = 3 becomes h(2) = 3

-----------

As another example, if we had the input a = 7, then we'd go for the first line (since 7 > 3) and get

h(a) = 3a+2

h(7) = 3(7)+2

h(7) = 23

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2 years ago
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Get the app Photomath to do basic math like this, otherwise:
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