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3 years ago

5

Helpppppppppppppppppppppppppppppp

1 answer:

sashaice [31]3 years ago

5 0

X³-x²-17x-15║(x-5)
-------------------------------
-x³+5x² (x²+4x+3)----------- > the quotient q(x)
4x²-17x-15
-4x²+20x
3x-15
-3x+15

the quotient q(x) is x²+4x+3
the answer is the option x²+4x+3

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Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1

ivolga24 [154]

Answer:

$a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\$

Step-by-step explanation:

We are to factorize the expression $a^{3y} + 1$ completely. To do this, we will apply the expression below;

The expression can be rewritten as $a^{3y} + 1^{3}$

To factorize the expression, we need to first factorize $(a^{y}+1 )^{3}$ first

$(a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\$

The we will make $a^{3y} + 1^{3}$ the subject of the formula as shown;

$(a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3} = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\$

$(a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\$

$a^{3y} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\$

$a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\$

This last result gives the expansion of the expression

7 0

4 years ago

A high speed machine makes 108 bolts every minute. How long does the machine take to make 18 bolts?

d1i1m1o1n [39]

Answer:

about 9 seconds

Step-by-step explanation:

18x60/108

8 0

3 years ago

Two chicken coops are to be built adjacent to one another from 168 ft of fencing. What dimensions should be used to maximize the

Cerrena [4.2K]

Answer:

21 ft by 28 ft

Step-by-step explanation:

To maximize the area, see the attached.

Perimeter will be 4l+3w which is equal to the fencing perimeter, given as 168

4l+3w=168

Making l the subject then

4l=168-3w

l=42-¾w

Area of individual land will be lw and substituting l with l=42-¾w

Then

A=lw=(42-¾w)w=42w-¾w²

A=42w-¾w²

Getting the first derivative of the above with respect to w rhen

42-w6/4=0

w6/4=42

w=42*4/6=28

Since

l=42-¾w=42-¾(28)=21

Therefore, maximum dimensions are 21 for l and 28 for w

4 0

3 years ago

Which pattern follows the given rule? Rule: Start with 10 and then multiply each term by 3 to get the next term. A. 10, 13, 20,

Ghella [55]

B....is the correct one

5 0

3 years ago

Read 2 more answers

Find the value of x <br> (8x-1) (4x+7)

Helen [10]

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

Right angle = 90°

α = (4x+7)°

β = (8x-1)°

We know that the sum of angles of a triangle is 180°.

so

Right angle + α + β = 180°

90° + 4x+7 + 8x-1 = 180

Group like terms

$4x+8x+90+7-1=180$

Add similar elements: :4x+8x=12x

$12x+90+7-1=180$

$12x+96=180$

$12x=84$

Divide both sides by 12

$\frac{12x}{12}=\frac{84}{12}$

$x = 7$

Therefore, the value of x = 7

7 0

3 years ago