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zlopas [31]
3 years ago
15

Factor the four term polynomial by grouping.10x^3-15x^2+6x-9​

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

(5x²  + 3) (2x-3)

Step-by-step explanation:

10x³ - 15x² + 6x - 9   (rearrange)

10x³+ 6x - 15x²  - 9  (group using parentheses)

(10x³+ 6x) - (15x²  + 9)  (factor out 2x from first term and 3 from second term)

2x (5x²+ 3) - 3(5x²  + 3)   (factor out (5x²+3) )

(5x²  + 3) (2x-3)  (answer)

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6 0
3 years ago
A Mexican restaurant sells quesadillas in two sizes: a "large" 10 inch-round quesadilla and a "small" 5 inch-
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Answer:

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^2

where

r is the radius

step 1

Find the area of the 10 inch-round quesadilla

we have

D=10\ in

r=10/2=5\ in

substitute

A=\pi (5)^2

A=25\pi\ in^2

step 2

Find the area of the 5 inch-round quesadilla

we have

D=5\ in

r=5/2=2.5\ in

substitute

A=\pi (2.5)^2

A=6.25\pi\ in^2

step 3

Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Compare

half of the 10-inch quesadilla is equal to ----> \frac{1}{2}(25\pi)=12.5\pi\ in^2

the entire 5-inch quesadilla ---->6.25\pi\ in^2

therefore

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

3 0
3 years ago
Four friends each bought a movie ticket and two boxes of candy at a movie theater. The tickets were $ 7.50 and the boxes of cand
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4 0
3 years ago
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4 0
3 years ago
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The perimeter of a rectangle is
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P = 2(L + W)

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6 0
3 years ago
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