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qwelly [4]
3 years ago
15

7. Expand and reduce A(x). Then calculate A(x) for x=1. A (x) = (3x – 3)(3x + 2)

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Given:

The function is

A(x)=(3x-3)(3x+2)

To find:

The simplified form of A(x) and value of A(x) at x=1.

Solution:

We have,

A(x)=(3x-3)(3x+2)

A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)

A(x)=9x^2+6x-9x-6

A(x)=9x^2-3x-6

Putting x=1, we get

A(1)=9(1)^2-3(1)-6

A(1)=9-3-6

A(1)=9-9

A(1)=0

Therefore, the simplified form of A(x) is A(x)=9x^2-3x-6 and the value of A(x) at x=1 in 0.

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Dons signature coffee blend is 60% dark roast and 40% light roast. He has 10 kg of blend A, which is 80% dark roast and 20% ligh
astraxan [27]

Answer

Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .

To proof

As given

Dons signature coffee blend is 60% dark roast and 40% light roast.

He has 10 kg

60 % is written in the decimal form

= \frac{60}{100}

= 0.6

40 % is written in the decimal form

= \frac{40}{100}

= 0.4

Now 60% dark roast of  10 kg = 0.6 ×10

                                                 = 6 kg

Now 40% of  10 kg = 0.4 × 10

                               = 4 kg

As given

He has 10 kg of blend A, which is 80% dark roast and 20% light roast  i.e 80% of the 6kg is dark roast and 20% of the  4kg is light roast .

80% is written in the decimal form

= \frac{80}{100}

= 0.8

80% of the 6kg is dark roast = 0.8 × 6

                                                = 4.8 kg

20% is written in the decimal form

= \frac{20}{100}

= 0.2

20% of the 4kg is light roast = 0.2 × 4

                                               = .8kg

Total kilograms of blend A will don need to use to make 10 kg of his signature blend =  4.8 kg + .8 kg

                          = 5.6 kg

Hence proved




 


8 0
3 years ago
Find the perimeter of the figure to the nearest hundredth.
Kryger [21]

Hello!

Your answer should be 26.85.

We can use the formula of pi d or 2 pi r for the circumference.

You would get 5 pi.

But since its not a full circle you would divide it in half and get 2.5 pi.

2.5 pi is equal to 7.85.

Now we can use the equation 7.85 + 7 + 7 + 5

That would equal our answer... 26.85!

Hope this helps!

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What is the unit price for 5.22 for 6
seraphim [82]

Answer:

Step-by-step explanation:

5.22/6= 0.87 a piece

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How to change decimals to percentages​
iragen [17]

You move the decimal point over 2 spots to the right.

For example, the value 0.03 becomes 3%

Another example: 0.789 turns into 78.9%

Moving the decimal over 2 spots to the right is the same as multiplying by 100

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If the container on the left holds 2 liters ,about how many liters does the other container hold
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