Hey there!
Here's you your answer: D; 12.56
How i got it: *image attached*
Hope this helps!
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<span><span> 8x24-27y6</span> </span>Final result :<span> (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)
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Step by step solution :<span> Step 1 :</span>Skip Ad
<span>Equation at the end of step 1 :</span><span><span> (8 • (x24)) - 33y6
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span> 23x24 - 33y6
</span><span> Step 3 :</span>Trying to factor as a Difference of Squares :
<span> 3.1 </span> Factoring: <span> 8x24-27y6</span>
Theory : A difference of two perfect squares, <span> A2 - B2 </span>can be factored into <span> (A+B) • (A-B)
</span>Proof :<span> (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
<span> A2 - B2</span>
</span>Note : <span> AB = BA </span>is the commutative property of multiplication.
Note : <span> - AB + AB </span> equals zero and is therefore eliminated from the expression.
Check :<span> 8 is not a square !!
</span>Ruling : Binomial can not be factored as the
difference of two perfect squares
Trying to factor as a Difference of Cubes:
<span> 3.2 </span> Factoring: <span> 8x24-27y6</span>
Theory : A difference of two perfect cubes, <span> <span>a3</span> - <span>b3</span> </span> can be factored into
<span> (a-b) • (a2 +ab +b2)</span>
Proof : <span> (a-b)•(a2+ab+b2) =
<span>a3</span>+<span>a2b</span>+<span>ab2</span>-<span>ba2</span>-<span>b2a</span>-<span>b3</span> =
<span>a3</span>+(<span>a2b</span>-<span>ba2</span>)+(<span>ab2</span>-<span>b2a</span>)-<span>b3</span> =
<span>a3</span>+0+0+<span>b3</span> =
<span>a3</span>+<span>b3</span></span>
Check : 8 is the cube of 2
Check : 27 is the cube of 3
Check :<span> x24</span> is the cube of <span> x8</span>
Check :<span> y6</span> is the cube of <span> y2</span>
<span>Factorization is :
</span> <span> <span>(2x8 - 3y2)</span> • </span><span> (4x16 + 6x8y2 + 9y4)</span>
Trying to factor as a Difference of Squares :
<span> 3.3 </span> Factoring: <span> 2x8 - 3y2</span>
Check :<span> 2 is not a square !!
</span>Ruling : Binomial can not be factored as the
difference of two perfect squares
Trying to factor a multi variable polynomial :
<span> 3.4 </span> Factoring <span> 4x16 + 6x8y2 + 9y4</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
Final result :<span> (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)
</span>
A & B
Step-by-step explanation:
You find the rate of change by taking the change in y over the change in x. If you look at A, you'll quickly realize there is no change in y as x increases. If you look at B the same is true, as x increases y stays the same.
1.
a. 60kg, 60g, 60cg, 60mg
b. 60mg, 60 cg, 60g, 60kg
2.
a. 7000m, 70m, 7m, 0.7m
b 0.7m, 7m, 70m, 7000m
3.
a. 20 daL, 400 ml, 60 L, 5cL
b. 5 cL, 60 L, 400 ml, 20 daL
hope this helps :)
Step-by-step explanation:
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