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Y_Kistochka [10]

3 years ago

10

Given the following perfect square trinomial, fill in the missing term. x2 − 16x + ____

1 answer:

ahrayia [7]3 years ago

4 0

Answer:

$x^{2}-16x+64$

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following perfect square trinomial given in the problem:

$x^{2}-16+$

2. To fill the missing term, you must divide the coefficient -16 by 2 and then you must square it, as following:

$(\frac{-16}{2})^{2}=(-8)^{2}=64$

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Dvinal [7]

Answer:

3.3814 according to google

Step-by-step explanation:

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3 years ago

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there are 12 actors auditioning for 5 different roles in a new play. how many different cast are possible

aleksandr82 [10.1K]

Answer:

95,040 different cast are possible

Step-by-step explanation:

In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.

$nPr =\frac{n!}{(n-r)!}$

Where n is the number of items you can choose and choose r from them.

In this case $n = 12$ and $r = 5$

$12P5 =\frac{12!}{(12-5)!}$

$12P5 =\frac{12!}{7!}$

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3 years ago

How do you graph limits

valentinak56 [21]

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2 years ago

Solving Rational equations. LCD method. Show work. Image attached.

Dmitry [639]

Answer:

$b=1$

Step-by-step explanation:

The given rational equation is

$\frac{2b-5}{b-2} -2=\frac{3}{b+2}$

The Least Common Denominator is $(b+2)(b-2)$ .

Multiply each term in the equation by the LCD.

$(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}$

Simplify;

$(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}$

$(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)$

Expand and group similar terms

$2b^2-5b+4b-10 -2(b^2-4)=3b-6$

$2b^2-5b+4b-10 -2b^2+8=3b-6$

$-b-2=3b-6$

$3b+b=-2+6$

$4b=4$

$b=1$

3 0

2 years ago

An open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the

natka813 [3]

Please find the attachment.

Let x represent the side length of the squares.

We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

The side of box will be $8-x-x=8-2x$ and $10-x-x=10-2x$ .

The height of the box will be $x$ .

The volume of box will be area of base times height.

$\text{Volume of box}=(8-2x)(10-2x)\cdot x$

Now we will use FOIL to simplify our expression.

$\text{Volume of box}=(80-16x-20x+4x^2)\cdot x$

$\text{Volume of box}=(80-36x+4x^2)\cdot x$

Now we will distribute x.

$\text{Volume of box}=80x-36x^2+4x^3$

$V(x)=80x-36x^2+4x^3$

Therefore, the volume of the box would be $V(x)=80x-36x^2+4x^3$ .

6 0

2 years ago