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maks197457 [2]
3 years ago
12

Use complete sentences to explain how the quadratic formula is related to the process of completing the square.

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

SOS

Answer:

Completing the square is a method that will solve all quadratic equations. By completing the square on the general quadratic equation, we obtain a formula that is worth learning and that will solve all quadratic equations.

The quadratic formula does the same thing as completing the square.  The formula reads: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

The a, b and c terms are the coefficients of a polynomial where a is the coefficient of the squared term, b the linear term and c the constant when the equation is set equal to zero [ax squared plus bx plus c = 0].

Solving quadratics with this formula is then just as simple as substituting the numbers from an equation into these placeholder variables. Then, you need to simplify the expression to get the two solutions, one where you use the plus sign and the other the minus sign.

<em>Hope this helps!!</em>

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Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variabl
kondaur [170]

Answer:

a) Discrete Variable

b) Discrete Variable

c) Discrete Variable

d) Continuous Variable

Step-by-step explanation:

We have to identify the given variable as discrete r continuous.

Discrete Variables:

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  • They cannot take any value within an interval.

Continuous Variables:

  • They are expressed in decimal numbers.
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a) The number of countries ever visited

Since number of countries will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.

b) The number of sons

Since number of sons will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.

c) Shoe size

Shoe size are expressed in whole number. The underlying measure is length of feet which is a continuous variable but shoe size are always given in whole number. Thus, they cannot take any value within an interval. Thus, it is a discrete variable.

d) Body temperature

Body temperature can be expressed in decimal. A Body temperature of 42.5 makes sense. Thus, they can take any value within an interval. Also, it is measured not counted. Thus, it is a discrete variable.

8 0
3 years ago
What is 16,850 rounded to the nearest thousand
Ipatiy [6.2K]
I personally think its 17,000
8 0
3 years ago
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Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?
Vinvika [58]

Given:

The equation is:

y=-x+4

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

y=-x+4

At x=0, we get

y=-0+4

y=4

So, the x-intercept of the given equation is at point (0,4).

At y=0, we get

0=-x+4

x=4

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

7 0
3 years ago
If 20 minutes from now the time will be 12 noon.What time was it 30 minutes ago​
Roman55 [17]
11:10

subtract 20 minutes from 12:00 then subtract 30 minutes from what you get from that
3 0
3 years ago
Read 2 more answers
The figure shows trapezoid ABCD on a coordinate plane.
docker41 [41]

Answer:

121 unit^2.

Step-by-step explanation:

The area = height/2 * ( sum of the opposite parallel  lines)

= h/2(BC + AD

h = BF = 14 - 3 = 11 units.

BC   = 13 - 5 = 8 units.

AD = 16 - 2 = 14 units.

Area = (11/2)(8 + 14)

= 5.5 * 22

= 121 unit^2.

5 0
3 years ago
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