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Pani-rosa [81]
1 year ago
10

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a

fter it has been fully simplified?
x3 + 5x2 + 5x – 2
x3 + 2x2 + 8x – 2
x3 + 11x2 – 2
x3 + 10x2 – 2
Mathematics
2 answers:
Natalka [10]1 year ago
8 0

Answer:

(A)x^3+5x^2+5x-2

Step-by-step explanation:

The Product of a binomial and a trinomial is:

x^3+3x^2-x+2x^2+6x-2

On simplifying the above given equation by solving the like terms together, we get

x^3+3x^2+2x^2-x+6x-2

x^3+5x^2+5x-2

which is the required simplified form of the given expression.

Therefore, option (A) is correct.

Mazyrski [523]1 year ago
4 0
X3+5x2+5×-2 is the correct answer.
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Answer:

y>\frac{2}{3}x+3

Step-by-step explanation:

step 1

Determine the slope of the dashed line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-3,1) and (0,3)

substitute

m=\frac{3-1}{0+3}

m=\frac{2}{3}

step 2

Find the equation of the dashed line in slope intercept form

y=mx+b

we have

m=\frac{2}{3}

b=3 ---> given problem

substitute

y=\frac{2}{3}x+3

step 3

Find the equation of the inequality

we know that

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so

y>\frac{2}{3}x+3

see the attached figure to better understand the problem

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Use area model to explain the product 4.6 and 3. Write the product in standard form, word form and expanded form.
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Answer: Product = 13.8

Step-by-step explanation:

<u>As we have to use area model :</u>

So, we

Let length of rectangle be 4.6

Let breadth of rectangle be 3

As we know that

Area of rectangle is given by

Length \times breadth\\\\=4.6\times 3\\\\=13.8\text{ squared units }

Now, we must write in standard form, word form and expanded form:

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Expanded form is given by

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