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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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Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?
Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

<em>Robin's Flight</em>

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take two points from the table

(2,30) and (3,45)

substitute in the formula

m=\frac{45-30}{3-2}

m=\frac{15}{1}

m=15\frac{m}{sec}

<em>Cardinal's Flight</em>

y=10x

m=10\frac{m}{sec}

<em>Blue Jay's Flight</em>

take two points from the graph

(0,0) and (2,20)

substitute in the formula

m=\frac{20-0}{2-0}

m=\frac{20}{2}

m=10\frac{m}{sec}

Compare

The robin flies fastest because its rate is 15 m/s

4 0
3 years ago
What is the value of the exponential expression below? 36 1/2
Aleksandr [31]

36 1/2 = 6

Given: the exponential expression

6 0
3 years ago
Read 2 more answers
What is this area? please help
Gnoma [55]

Answer:

60

Step-by-step explanation:

multiply the 20m x 6m

20x6=120. Is base x high

then

divide ➗ by 2

is equal to 60

I hope help you

4 0
2 years ago
given f(x)=4x-1, find the domain value if the range value is -5 given f(x)=4x-1, find the domain value if the range value is -5
olga55 [171]

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6 0
3 years ago
The average marks of the first 10 students are 17 and that of the next 15 students is 18. find the mean of 25 students?
Ray Of Light [21]

Answer:

The mean of 25 students is 17.6

Step-by-step explanation:

The formula of the mean (average) is mean (average) = \frac{S}{N} , where S is the sum of the data, and N is the number of the data

∵ The average marks of the first 10 students are 17

- That means the mean is 17 and the number of students is 10

∴ Average = 17

∴ N = 10

∵ Average = \frac{S}{N}

- Substitute average by 17 and N by 10

∴ 17 = \frac{S}{10}

- Multiply both sides by 10

∴ 170 = S

∴ The sum of the marks of the first 10 students is 170

∵ The average of the next 15 students is 18

∴ Average = 18

∴ N = 15

- Substitute average by 18 and N by 15

∴ 18 = \frac{S}{15}

- Multiply both sides by 15

∴ 270 = S

∴ The sum of the marks of the next 15 students is 270

Now to find the mean of 25 students and the two sums and divide the answer by 25

∵ S = 170 + 270

∴ S = 440

∵ N = 25

∴ Mean = \frac{440}{25}

∴ Mean = 17.6

The mean of 25 students is 17.6

3 0
3 years ago
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