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horrorfan [7]
4 years ago
15

Given the function

Mathematics
1 answer:
jeka944 years ago
7 0

Answer:

<h2>The domain is all real numbers except</h2><h2>x = 3 and x = 7.</h2>

Step-by-step explanation:

We know that in a fraction the denominator must be different from 0.

Therefore:

f(x)=\dfrac{4x+17}{x^2-10x+21}\to\ D:x^2-10x+21\neq0\\\\x^2-7x-3x+21\neq0\\\\x(x-7)-3(x-7)\neq0\\\\(x-7)(x-3)\neq0\iff x-7\neq0\ \wedge\ x-3\neq0\\\\x-7\neq0\qquad\text{add 7 to both sides}\\x\neq7\\\\x-3\neq0\qquad\text{add 3 to both sides}\\x\neq3

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Maia mixed a batch of punch for the class party. Her recipe called for 4 2/5 cups
siniylev [52]
You just have to add all the amounts of the ingredients.
4 2/5 + 3 1/2 + 12 3/4

You can first add all the whole numbers
4 + 3 + 12 = 19

Then, you can add all the fractions
2/5 + 1/2 + 3/4

To add all the fractions, you have to use the LCD. The LCD is 20. So, divide 20 with the denominator of each fraction and multiply the result with the numerator. The denominator of all fractions would now be 20.

So,
(2x4 + 1x10 + 3x5) / 20
(8 + 10 + 15)/20
33/20

The answer is an improper fraction. We divide 33 by 20 and get the remainder.
33/20 = 1 13/20

We have a whole number of 1, we add this to the sum of the whole numbers we got earlier.
19 + 1 =20

Finally, we put together the whole number and the remainder (fraction)
20 13/20.

Therefore, the recipe can make 20 1-cup servings. The remaining 13/20 can't make a full-sized cup.
8 0
4 years ago
Which of the following fractions is equivalent to 3/5 ?<br> A 1/2 <br> B 3/8<br> C 6/20<br> D 9/15
lara31 [8.8K]
The answer is D :).
8 0
3 years ago
Which expression is equivalent to 28 + 7? Prove your answer by showing your work.
OverLord2011 [107]

Answer:

ok so first lets find the answer to the original question

28+7=35

so lets find which one is equal to 35

7(4+1)=28+7=35 yes

4(7+1)=28+4=32 no

4(7+3)=28+12=40 no

7(4+7)=28+49=77 no

a is the answer

Hope This Helps!!!

6 0
3 years ago
Please help if so thank you
gizmo_the_mogwai [7]

 your mean  your mean your mean


Step-by-step explanation:


5 0
4 years ago
What is the domain of the piecewise function?
Anastaziya [24]

Answer:

C. All real numbers

4 0
2 years ago
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