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Novosadov [1.4K]
3 years ago
10

Use the difference of squares pattern to factor the polynomial.x2 − 16y2 how would I do this

Mathematics
1 answer:
love history [14]3 years ago
6 0
The general rule for difference of two squares is that when factorised it can be written in the form (a+b)(a-b) where a is the square root of the first part of the function and b is the square root of the second part of the function.
From this we can find the square root of x² to find a and the square root of 16y² to find b.
In this case √x²=x and √16y²=4y
Therefore fully factorised it can be written as (x+4y)(x-4y)
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How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
Nonamiya [84]

Answer:

Let y represents the ounces of first spice.

From the given statements, we draw a table as shown below:

                          ounces of spice        Percentage          ounces of salt

First spice                 y                              3%                            0.03x

Second spice           175                            6%                          175(0.06)

Final  mixture          y + 175                         5%                        (x+15)(0.05)

Now, to solve for y

we have;

Final spice = First spice + second spice

0.03y + 175(0.06) = (y+175)(0.05)

0.03y+ 10.5= 0.05y+ 8.75

Subtract 10.5 on both sides we have;

0.03y+ 10.5 -10.5= 0.05y+ 8.75 -10.5

Simplify:

0.03y = 0.05y -1.75

Subtract 0.05y on both sides

0.03y -0.05y= 0.05y -1.75-0.05y

Simplify:

-0.02y = -1.75

Divide both sides by -0.02, we get;

y = \frac{-1.75}{-0.02} = 87.5

Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt


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Answer:

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Step-by-step explanation:

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Please help with need an answer
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