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3 years ago

HELP ME PLZ ce 365 What is mz1? 3r

Mathematics

1 answer:

Travka [436]3 years ago

6 0

Answer:82+31=113 180-113=67 so the answer is 67

Step-by-step explanation:

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

$k=3$

Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

6 0

3 years ago

In the year 2003, a company made $6.8 million in profit. For each consecutive year after that, their profit increased by 13%. Ho

LenKa [72]

Answer:

$7.7 million

Step-by-step explanation:

Given: $6.8 million profit made by company.

13% increase in profit every year.

Now, finding the company´s profit in the year of 2006.

As we know there is 13% increase in profit.

∴ Profit increase= $\frac{13}{100} \times 6.8= \$ 0.884$

Next adding company´s profit with increase in profit to get profit in the year 2006.

∴ $6.8+0.884= \$ 7.684$ ≅ $7.7

The company´s profit in the year 2006 is $7.7 million.

6 0

3 years ago

8x-2y^2=12 solve for y

Neko [114]

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3 years ago

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Find the scale factor of ABC to MNO.

timofeeve [1]

Answer:

6/5

Step-by-step explanation:

The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.

Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:

Original Length BC = 15 in

New Length NO = 18 in

Scale factor =?

Scale factor = New lenght NO / Original length BC

Scale factor = 18 / 15

Scale factor = 6/5

Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.

5 0

3 years ago

What factor is missing? 24 + 12= ____(8+4)

Svetach [21]

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3 years ago

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