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Gre4nikov [31]
3 years ago
11

What are the domain restrictions of the expression?

Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

h^2 - 12h + 20 can be factored to:

(h-10)(h-2)

These cannot be zero so, h cannot be 10 or 2.

Troyanec [42]3 years ago
4 0

Hello from MrBillDoesMath!

Answer:   h <> 10 and h <> 2      ( <> means not equal)

Discussion :


The domain restrictions are where the denominator  is 0. In this problem that occurs when

h^2 -12h + 20 = 0.

Factoring this equation gives

(h-10) (h-2) = 0

So   the values h = 10 and h =2 are NOT in the domain of this function,


Regards, MrB

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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
RSB [31]

Answer:

A.

Step-by-step explanation:

<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>

"A number, y, is equal to twice the sum of a smaller number and 3."

This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.

y=2(x+3)

"The larger number is also equal to 5 more than 3 times the smaller number."

This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.

y=3x+5

Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.

This form calls for us to have our x term first, then our y term, then our constant.

y=2(x+3)\\y=2x+6\\-2x+y=6

Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.

-2x+y=6\\2x-y=-6

This makes the only possible answer choices (A) and (C).

Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.

y=3x+5\\-3x+y=5\\3x-y=-5

This is only represented by choices (A) and (B).

Therefore, answer choice (A) is the only one which represents both equations.

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3 years ago
Can you answer this question ?
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Answer:

k = -14

Step-by-step explanation:

We should cross-multiply

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3 years ago
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erica [24]
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8 0
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zepelin [54]
Do 5x12x5x9 and the answer is 2700
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tatiyna

Answer:

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Step-by-step explanation:

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Because Mariner Middle school has a large number of students (550) and their height organized into equal intervals, the histogram is the best option.

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