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Svetlanka [38]
3 years ago
9

9x^3-16x factor using the GCF as the first term

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0
X is the gcf so:

this is the maximum you can factor that too:

\sf{x(9x^2-16)}
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How do you simplify #(-3 - 2i)(-3 + 3i)#?
dybincka [34]
So, ( -3 - 2i )( -3 + 3i ) = 9 - 9i +6i - 6i^2 = 9 - 3i - 6·(-1) = 9 + 6 - 3i = 15 - 3i;
We have / 15 +(- 3)i / = 15.29;\sqrt{ 15^{2} +  (-3)^{2}  } =  \sqrt{225 + 9} =  \sqrt{234} =
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3 years ago
I NEED HELP LIKE NOW
Harman [31]
I think the last one is my best bet
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The area of this rectangle is given by the quadratic function
Sonja [21]

<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>

Answer:

0 < W < 50

Correct option: A

Step-by-step explanation:

<u>Domain of functions</u>

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

A=50W - W^2

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

50W - W^2\geq 0

Taking common factor W

W(50 - W)\geq 0

Since W must be positive W>0

50 - W\geq 0

Or equivalently

50 \geq W

W \leq 50

The total interval is

0 < W

Correct option: A

Please note: The real restriction should be

0 < W\leq 50

if we allowed the area to be positive, but I'm providing the most possible correct available option

6 0
4 years ago
You are renting a house in the seychelles for a week at $1500. What is the cost per day?
irina [24]

Step-by-step explanation:

cost per day

= $1500 / week

= $1500 / 7 days

= $1500 ÷ 7 / 7 ÷ 7

≈ $214,29 / day

5 0
2 years ago
How do you do this problems?
rewona [7]

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

\implies \mathsf{ \frac{DE }{ XY } =  \frac{EF}{YZ} =  \frac{ FD}{ZX}}

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using \mathsf{ \frac{DE }{XY } =  \frac{EF}{YZ} }to get the value of x.

[You can use any two fractions out of the three given above. ]

\implies \mathsf{ \frac{10}{x - 1} =  \frac{8}{4}  }

\implies \mathsf{ \frac{10}{x - 1} =  2  }

\implies \mathsf{ 10 =  2 (x - 1) }

\implies \mathsf{ 10 =  2 x - 2 }

\implies \mathsf{ 10  + 2=  2 x  }

\implies \mathsf{ 1 2=  2 x  }

\implies \mathsf{ x = 6 }

Hence, the value of x is 6.

5 0
3 years ago
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