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3 years ago

In the polynomial below, what number should replace the question mark to produce a difference of squares?

1 answer:

3 0

A polynomial is an algebraic equation that consists of more than one term. Otherwise, it is called a monomial. The technique in producing a difference of the squares is completing of the squares method. For a quadratic formula with a general form of ax2 + bx + c = 0, you can determine c such that the formula could be factored into two monomials. The equation would be (b/2)^2.

For example, if the equation is x^2 + 2x+ __ = 0, c is solved as follows:

c = (2/2)^2 = 1

The equation would be x^2 + 2x +1 = 0. When you simplify and factor it out, the equation would become (x+1)^2 = 0.

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The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the

vagabundo [1.1K]

Let $L$ be the length of the rectangle and $W$ be the width. In the problem it is given that $L=2W-3$ . It is also given that the area $LW=27$ . Substituting in the length in terms of width, we have $W(2W-3)=27 \\ 2W^2-3W-27=0 \\ (2W-9)(W+3)=0$ . Using the zero product property, $2W-9=0 \text{ or } W+3=0$ . Solving these we get the width $W=4.5 \text{ or } -3$ . However, it doesn't make sense for the width to be negative, so the width must be $\boxed{4.5 \text{ m}}$ . From that we can tell the length $L=2(4.5)-3=\boxed{6 \text{ m}}$ .

3 0

3 years ago

In a study of all babies born at hospitals in one state, it was found that the average (mean) weight at birth was 3197.4 grams.

Effectus [21]

An experiment value can either represent statistic or parameter

The value of the average (mean) weight at birth represents is parameter

<h3>How to determine if the value is statistic or parameter</h3>

The mean value is given as:

$Mean = 3197.4$

From the question, we understand that the value represents the average weight at birth of all babies born at hospitals in one state

The keyword "all" means that the value represents parameter

Hence, the value of the average (mean) weight at birth represents is parameter

Read more about statistic and parameter at:

brainly.com/question/8222250

6 0

2 years ago

4-8m=-8-5m what is m

faust18 [17]

Answer:

-9m-4

Step-by-step explanation:

Move the -4 to the right hand side by adding 4 to both sides, like this: To the left hand side:

-4 + 4 = 0

9m ‹ 5m

6 0

2 years ago

What point is on both lines y=12x+3 and y=x+1 <br><br> (no graph)

Mkey [24]

Step-by-step explanation:

by having two equations that have the same point, you can set the two equations equal to each other

y = 12x + 3, y = x + 1

12x + 3 = x + 1

11x = -2

x = -2/11

when you find the the x value, plug it back into either one of the equations

y = x + 1

y = (-2/11) + 1

y = 11/11 - 2/11

y = 9/11

the point (solution):

(-2/11, 9/11)

4 0

2 years ago

Read 2 more answers

Jason has 60 toy cars. 30% of the cars are blue

Leno4ka [110]

Answer:

whats the question

30% of 60 is 18

so 18 blue cars

4 0

3 years ago