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Vsevolod [243]
3 years ago
5

B2+16b+64 -3k3+15k2-6k

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

1. (b+8)^{2}

2. -3k(k^{2} -5k+2)

3. (3x-1)(x-5)

Step-by-step explanation:

1. Both x^{2} and 64 are perfect squares, meaning 16b is twice the product of x and 8. Since all signs are positive, the equation would be: (a+b)^{2} =a^{2} +2ab+b^{2}. Let a=x and b=8. Answer: (b+8)^{2} or (b+8)(b+8).

2. Since -3 is a factor of all 3 terms, factor out the -3 which makes,  -3(k^{2} +5k^{2} -2k) . K is also a common factor, so you would factor that out too, -3k(k^{2} -5k-2). Then simply, find the two factors whose product is -2 and whose sum is -5. Answer: -3k(k^{2} -5k+2).

3. By factoring 3x^{2} -16x+5, you would break the expressions in the group=(3x^{2} -x)+(-15x+5). Then, factor out "x" from 3x^{2} -x: x(3x-1). Factor out "5" from -15x+5:-5(3x-1) = x(3x-1)-5(3x-1). Finally, factor out the common term "3x-1" = (3x-1)(x-5)

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The Equation of line u is y =-8/9x+5/4. The equation of line v is y =9/8x+7/4. Are line u and line v parallel or perpendicular?
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Answer:

when two lines are parallel the two slopes are equal (m1 =m2)

when two lines are perpendicular the product of the slopes is equal to -1( m1m2= -1)

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using the formula y= mx +c

m1= -8/9

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since m1 is not equal to m2 and -8/9 × 9/8 = -1

It is perpendicular

Step-by-step explanation:

PLS MARK BRAINLIEST

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Answer:

Step-by-step explanation:

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8 0
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Answer:


Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

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Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan

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3 years ago
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