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Lilit [14]
3 years ago
6

Which of the following is a valid exclusion for the algebraic fraction:

Mathematics
1 answer:
erastova [34]3 years ago
4 0
We have the following expression:
 (27a ^ 3-1) / (9a ^ 2-6a + 1)
 Rewriting we have:
 (27a ^ 3-1) / (9a ^ 2-6a + 1)
 (27a ^ 3-1) / ((3a-1) * (3a-1))
 We exclude the values that make the denominator zero:
 3a-1 = 0
 a = 1/3
 Answer:
 
a valid exclusion for the algebraic fraction is:
 
c. a ≠ 1/3
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Rudik [331]
I'm not sure but I think it is the third option
4 0
3 years ago
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Ax-bx-y=z <br> which of the following represents the formula that could be used to find x?
hodyreva [135]

Answer:

see explanation

Step-by-step explanation:

Given

Ax - bx - y = z ( add y to both sides )

Ax - bx = z + y ← factor out x from both terms on the left side

x(A - b) = z + y ← divide both sides by (A - b)

x = \frac{z+y}{A-b}

7 0
4 years ago
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm dee
Free_Kalibri [48]

Answer:

The paint will not fill the tray by 10.53 in3.

Step-by-step explanation:

Length = 14 inches

Width = 10 inches

Depth = 4 cm = 1.57 inches

Volume = length x width x depth

Volume = 14 x 10 x 1.57

= 220.47 inches cube

Volume of Gallon = 231 inches cube

5 0
3 years ago
Jason had three more than four times the amount of money that Jeff has. Together they have $72. How much money does each person
adelina 88 [10]

Answer:

Jason has $58.20 and Jeff has $13.80.

Step-by-step explanation:

Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.

We know that together they have $72. So, we can write the following equation:

x+y=72

We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:

x=3+4y

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

(3+4y)+y=72

Combine like terms:

5y+3=72

Subtract 3 from both sides:

5y=69

Divide both sides by 5:

y=69/5=\$13.80

So, Jeff has $13.80

We know that Jason has three more than four times the amount of money Jeff has.

Therefore, Jason has:

x=13.8(4)+3

Multiply and add:

x=\$58.20

So, Jason has $58.20 and Jeff has $13.80.

And we're done!

7 0
3 years ago
$12.25 pen set; 33% discount What is the sale price
taurus [48]

Answer:

Hey there! The answer is $8.21

Step-by-step explanation:

First, you must multiply the original price, 12.25, by the discount, 33%:

12.25*0.33

≈4.04

Now, subtract this amount from the original price:

12.25-4.04

=8.21


Hope this helps!

5 0
3 years ago
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