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AnnZ [28]
3 years ago
7

How do the signs of b and c in standard form, x2 + bx + c, affect the signs of p and q in factored form, (x + p)(x + q)?

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
6 0

They affect the signs of p and q in different ways.

Firstly, if c is negative, it means that p and q have opposite signs.

If c is positive, then it means that p and q have the same signs. However, to determine whether they are both positive or both negative, we then have to look to b. If b is negative, both p and q would be negative. If b is positive, then both p and q are positive.

mart [117]3 years ago
5 0

Answer:

If b and c are positive,both p and q are positive,but if b and c are negative then p and q are negative too.

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Answer:

\frac{27}{1024}

Step-by-step explanation:

So the chance of getting yellow is 0.25

Getting it once is 0.25

Getting it twice is 0.25 • 0.25

Not getting it is 0.75

So we have 0.25 • 0.25 • 0.75 • 0.75 • 0.75 = \frac{27}{1024}

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2 years ago
Factor the expression given below. Write each factor as a polynomial in
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Answer:

3(343=72y)

Step-by-step explanation:

343x3=1029

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6 0
3 years ago
I need help on this loll
Serhud [2]

Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

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Step-by-step explanation:

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