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shtirl [24]
3 years ago
5

Given: 4 < a < 5, 2 < b < 4

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:I hope this helped and need more help call me at 4076321760

 ab • (a + b) • (a - b)

Step-by-step explanation:

a3b-b3a  

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  a3b - ab3  =   ab • (a2 - b2)  

Trying to factor as a Difference of Squares :

2.2      Factoring:  a2 - b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (a + b)  •  (a - b)  

Final result :

 ab • (a + b) • (a - b)

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3 years ago
Which symbol makes a true statement? –2.75 ? –3 A. = B. &gt; C.
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answer is </span><span>B. ></span>
7 0
3 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
ivolga24 [154]

Answer:  

<em>a.  The system of equations that models the situation is....</em>

<em>     0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40</em>

<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

So, the system of equations will be.........

0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0
3 years ago
Which graph represents the inequality 3y−5x&gt;−6?
Lelechka [254]

Answer:Top Left

Step-by-step explanation:

4 0
3 years ago
Is 11/15 less than 1/2
Art [367]
No because if you convert them into a percentage, you get 11/15 as 73.3% and 1/2 is 50%. Hope this helps
6 0
3 years ago
Read 2 more answers
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