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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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Solve the problem 3g+7g+8=-10+g
Vinil7 [7]
First simplify like terms (things with the same letter):

3g + 7g + 8 = -10 + g

10g + 8 = -10 + g

Next we should take g off both sides:

9g + 8 = -10

Next isolate 9g by taking 8 off both sides:

9g = -18

Next divide both sides by 9 to find the value of g:

g = -2
3 0
3 years ago
It takes one examiner 36 hours to mark 70 exam papers. How long would it take 6 examiners to mark 70 papers?
Orlov [11]

Answer:

36 divided by 6 is 6

Step-by-step explanation:

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3 0
3 years ago
Item 19 The scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. What i
Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}

Upon substituting map distance between San Francisco and Chicago, we will get:

\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}

\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}

\text{Actual distance}=30\text{ miles}\cdot 61.9

\text{Actual distance}=1857\text{ miles}

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0
3 years ago
Round to the nearest tenth. 8.54
Katarina [22]
The answer would be 8.5. 8.54 rounds down to 8.54. 
Hope this helps!
Can u plz mark me as brainliest?
4 0
3 years ago
Read 2 more answers
Please please answer What is 4328 divided by 4
Lerok [7]
It is 1082. 

I hope it helps, you can do more on a calculator. :)))
6 0
3 years ago
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