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ArbitrLikvidat [17]
3 years ago
11

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

we have

x+\frac{b}{2a} =\pm\sqrt{\frac{b^2-4ac}{4a^2}}

Simplify the right side of the equation

we know that

\pm\sqrt{\frac{b^2-4ac}{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}=\pm\frac{\sqrt{b^2-4ac}}{2a}

so

The expression is

x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}

therefore

x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

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9. The 10,000 seat stadium is 89% full. How many people are watching the game inside the stadium? with solution pls. ​
Ksivusya [100]

Answer:1100

Explanation:89% of 10,000 is 8900 subtract 8900 from 10,000 bam you got 1100

your welcome

7 0
3 years ago
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Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda
pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

y= c_1x^4+c_2x^6

Step-by-step explanation:

Given equation is

x^2y'' - 9xy+24y=0

This Euler Cauchy type differential equation.

So, we can let

y=x^m

Differentiate with respect to x

y'= mx^{m-1}

Again differentiate with respect to x

y''= m(m-1)x^{m-2}

Putting the value of y, y' and y'' in the differential equation

x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0

\Rightarrow m(m-1)x^m-9mx^m+24x^m=0

\Rightarrow m^2-m-9m+24=0

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

y_1(x)=x^4

and

y_2(x)=x^6

First we compute the Wronskian

W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|

         = \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|

         =x⁴×6x⁵- x⁶×4x³    

        =6x⁹-4x⁹

        =2x⁹

       ≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

y= c_1x^4+c_2x^6

5 0
3 years ago
Can someone answer 15 and 16 please I will mark u as brainliest
kifflom [539]

Answer:

just graph the problem so that you can answer

8 0
3 years ago
Make up a question that you need to use 6 fractions to solve! It needs to involve subtraction. It can involve addition too.
Ket [755]

Answer:

6/4-3/2(12/8+27/4)9/8x30/12=

6 0
2 years ago
9m + 19 − 14 + 4n Please solve.
UkoKoshka [18]

Answer:

9m+4n+5

Step-by-step explanation:

9m

19 - 14 = 5

4n

so we can combined the 9m,5,4n to 9m+4n+5

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3 years ago
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