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Svetlanka [38]
3 years ago
12

Factor completely x3 − 2x2 − 5x + 10.

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

(x-2) (x^2 -5)

Step-by-step explanation:

x^3 − 2x^2 − 5x + 10

We will factor by grouping

Take and x^2 out of the first two terms and  -5 out of the last two terms

x^2 (x-2) -5(x-2)

Now we can factor out (x-2)

(x-2) (x^2 -5)

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Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

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3 years ago
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Step-by-step explanation:

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2 years ago
Find the side labeled X in the picture, then round to 5 decimal places.
mafiozo [28]

Answer:

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Step-by-step explanation:

<u>Trigonometric Ratios</u>

There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.

The appropriate relation that we must use to find x is

\displaystyle tan34^o=\frac{14}{x}

Solving for x

\displaystyle x=\frac{14}{tan34^o}

\boxed{\displaystyle x=20.75585}

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Answer:

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Step-by-step explanation:

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7 0
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Answer:

16 {x}^{2}  + 24xy + 9 {y}^{2}

Step-by-step explanation:

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3 years ago
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