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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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A student deposits the same amount of money into her bank account each week. At the end of the second week she has $30 in her ac
Nonamiya [84]
The student will have $135 in her bank account at the end of the ninth week. You can fine this out by finding out the amount she deposits a week and to do this you would take the $30 and divide it by 2 because she had $30 at the end of the second week. 
30/2=15
So you see that the student deposits $15 each week, so to find out how much money she will have in 9 weeks you will multiply her $15 by 9.
15x9=135
So the student will have $135 at the end of the ninth week. 
6 0
3 years ago
Write the expression in radical form (15x)-1/3
OleMash [197]

Answer:

You should remove parentheses to make it in radical form

Step-by-step explanation:

7 0
2 years ago
What’s the value of x???
Lubov Fominskaja [6]

Answer:

12

Step-by-step explanation:

5 0
4 years ago
Find the perimeter and area of the figure to the nearest hundredth use 3.14 for pi.
ZanzabumX [31]

Answer:

Perimeter = 36.84 ft

Area = = 64.26 ft²

Step-by-step explanation:

✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle

Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft

Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)

Circumference of the circle = πd

diameter (d) = 12 - (3 + 3) = 6 ft

π = 3.14

Circumference = 3.14*6

= 18.84 ft

✅Perimeter = 18 + 18.84 = 36.84 ft

✔️Area = area if the rectangle + area of the full circle

= L*W + πr²

L = 12 ft

W = 3 ft

π = 3.14

r = ½(6) = 3 ft

Plug in the values

Area = 12*3 + 3.14*3²

= 36 + 28.26

= 64.26 ft²

3 0
3 years ago
Which is the simplified form of this expression? <br><br> (2x+3) (x-6)-2x^2+3x+30
docker41 [41]
-6x + 12

To find this answer, follow these steps:

First, multiply 2x + 3 and x - 6 using either the FOIL method or the box method. This should get you the answer of 2x^2 - 9x - 18

This should now replace the 2x + 3 and x - 6

So with that, you should have this currently:

2x^2 - 9x - 18 - 2x^2 + 3x + 30

Now, combine like terms:

The 2x^2 cancels each other out. After that, combine -9x and 3x to get -6x. Then -18 and 30.

This should leave you with the final answer of -6x + 12

Hope this helps!
8 0
3 years ago
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