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docker41 [41]
2 years ago
7

Factorize x3 -2x2 -5x+6

Mathematics
1 answer:
Advocard [28]2 years ago
5 0

Answer: x³-2x²-5x-6=(x-1)*(x-3)*(x+2).

Step-by-step explanation:

x^3-2x^2-5x+6=\\\\x^3-2x^2+x-x-5x+6=\\\\(x^3-2x^2+x)-6x+6=\\\\x*(x^2-2x+1)-6*(x-1)=\\\\x*(x-1)^2-6*(x-1)=\\\\(x-1)*(x*(x-1)-6)=\\\\(x-1)*(x^2-x-6)=\\\\(x-1)*(x^2-x-2x+2x-6)=\\\\(x-1)*(x^2-3x+2x-6)=\\\\(x-1)*(x*(x-3)+2*(x-3))=\\\\(x-1)*(x-3)*(x+2).

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Alexa ran 2/3 of a mile. Caleb ran 5/8 of a mile. Who ran farther?
guapka [62]
Switching to common denominators, alexa ran 18/24 of a mile. caleb ran 15/24 of a mile. for alexa’s distance, you would do (2•8)+(3•8). for caleb’s distance you would do (5•3)+(8•3). hope this helped!
4 0
3 years ago
Mrs. Sheppard is teaching a 5th grade class. She is standing 15 feet in front of Shawna.
tino4ka555 [31]

Answer:

1-2 ft apart because the radius angle would be 2ft since its not a straight forward lining its horizontal.

Step-by-step explanation:

4 0
2 years ago
Jacob plans to work at his family's restaurant this summer to make some extra money. His parents have agreed to pay him $9.75 pe
san4es73 [151]

Answer:

There is a direct relationship between the amount of money that Jacob earns and the number of hours he works.

Step-by-step explanation:

In math, a direct relationship exists when a change in one variable causes another variable to change in the same manner. E.g. if variable X increases, then variable Y will increase. If variable X decreases, then variable Y will decrease.

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4 0
3 years ago
What is the slope of the line that passes through the points (9, 4) and (9,- 5)?
fgiga [73]

Answer:

  • Undefined

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Its slope is undefined.

3 0
2 years ago
Read 2 more answers
Help me plz plz plz plz plz plz plz plz
vagabundo [1.1K]
If two shapes are 'similar', it means that the dimensions of the shapes have the same ratio towards each other. In this example, we can see that the side with a length of 2 correlates to the side with a length of 4. That means, the scaling ratio is 4:2, which can be reduced to 2:1.

The next step is to look at the other side. We know that the width of the smaller shape is 1, and that the second shape is twice the size of the smaller shape (which is what a scale of 2:1 means). Therefore, you just need to multiply the known width by two to get the unknown.

1 * 2 = 2

The missing side _d_ has a length of 2.
Hope that helped =)
8 0
3 years ago
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