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dolphi86 [110]
2 years ago
11

When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make

? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.
Mathematics
1 answer:
castortr0y [4]2 years ago
6 0

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

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Can anyone answer this
erik [133]

Answer:

Step-by-step explanation:

1. 10² + 7² = x²

 149 = x²

 x = √149

2. x² + 19² = 21²

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3. x² + 16² = 27²

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5 0
2 years ago
Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how m
artcher [175]

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

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there are 14 girls trying out for volleyball. Each team will have six players. How many four teams will be made?
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Answer:

2

Step-by-step explanation:

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and you get 2

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