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OLga [1]
2 years ago
9

Pre-calc x - 3 is a factor of P(x) = x^3 – 7x² +15x-9 A. True B. False

Mathematics
1 answer:
joja [24]2 years ago
4 0
A. True
Explanation-

Let p(x) = x^3 – 7x^2 – 15x – 9

For checking that (x – 3) is a factor of p(x), we find : p(3)

p(3) = (3)^3 – 7(3)^2 + 15(3) – 9

= 27 – 63 + 45 – 9

= 72 – 72

= 0

Hence, (x – 3) is a factor of p(x).

By division of p(x) by x – 3, we get the quotient

= x^2 – 4x + 3

∴ x^3 – 7x^2 + 15x – 9

= (x – 3)(x^2 – 4x + 3)

= (x – 3)(x – 3)(x – 1)

= (x – 3)^2(x – 1)
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Step-by-step explanation:

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We need to calculate the area of 8-cm pipe. In this case:

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Now we must calculate the area of the two 4-cm pipes.

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In this case:

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One 8-cm pipe

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Which equation best describes the relationship shown in the table?​
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Answer:

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Step-by-step explanation:

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B. y=x+1   you would pick a coordinate to replace the X and Y value.   -1=-2+1  which would give you -1=-1 which would work,  but you have to check all of the coordinates to make sure it is the correct one.   3=0+1 which would give you 3=1 so this is not the correct answer.

C. y=2x+3    You would pick a coordinate to replace the X and Y value.  -1=2(-2)+3 so then you would simplify that which would give you -1=-1 which would work, but you still need to check to make sure that all of the coordinates work. 3=2(0)+3 which would give you 3=3.  9=2(3)+3 which would give you 9=9. Since this one is able to have three coordinates that can be plugged into it more than likely it is the correct answer, but just to be certain lets see if D will work.

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4 0
3 years ago
AB, CD and EF are straight lines. <br> AB is parallel to CD.<br> work out the size of angle y.
Yuri [45]

Answer:

y = 108°

Step-by-step explanation:

Since, line AB is parallel to line CD,

By the definition of corresponding angles,

m∠FPB = m∠FQD

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3x - 2x = 16 + 12

x = 28

(3x - 12) = 3(28) - 12

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72° + y = 180°

y = 180 - 72

y = 108°

4 0
2 years ago
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