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4 years ago

Find the product. (3x 2 - 5x + 3)(3x - 2)

Mathematics

1 answer:

Romashka [77]4 years ago

7 0

Answer:

9x^3-21x^2+19x-6

Step-by-step explanation:

First you have to distribute the first equation into the second since the two are being multiplied:

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

9x^3-6x^2-15^2+10x+9x-6

(simplify)

9x^3-21x^2+19x-6

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3 years ago

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3 years ago

Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len

FromTheMoon [43]

Width of the miniature model = $3\frac{3}{4}$ inches

Length of the miniature model = $5\frac{1}{2}$ inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x$

$$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x$

$$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}$

Do cross multiplication.

$$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}$

$$\Rightarrow{\frac{15}{4}x =\frac{165}{2}$

$$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}$

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0

3 years ago

Question 10(Multiple Choice Worth 1 points)

Mila [183]

Answer:
—6

Explanation:
In an expression with a negative number and a positive number, the negative will come on top. This meaning the product (end piece) will be negative. In this problem despite the signs we know 3•2 is 6. Now since one number is negative (3) and the other is positive (2) negative will come out on top.

* KEEP IN MIND *
+ and + = positive
- and + = negative

Easy Memo for Multiplication and Divison:
“Same sign add, different sign subtract”
Add = Positive (+)
Subtract = Negative (-)

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3 years ago