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den301095 [7]
3 years ago
13

Solve the following quadratic equation by using the quadratic formula.

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

B. \frac{-3}{4}±\frac{\sqrt{41} }{4}

Step-by-step explanation:

First, substitute the equation into the quadratic formula.

x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}

x=\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}

Solve for x.

x= \frac{-3+-\sqrt{9+32} }{4}

x=\frac{-3+-\sqrt{41} }{4}

The answer is x= -\frac{3}{4}±\frac{\sqrt{41} }{4}

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Elena-2011 [213]

Answer:

Multiply each as in like 120 multiply by 1.2. If 60 multiply by 0.6.

Step-by-step explanation:

6 0
3 years ago
Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
ivolga24 [154]
\bf (2x+3)^5\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^5(+3)^0\\
2&+5&(2x)^4(+3)^1\\
3&+10&(2x)^3(+3)^2\\
4&+10&(2x)^2(+3)^3\\
5&+5&(2x)^1(+3)^4\\
6&+1&(2x)^0(+3)^5
\end{array}

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element?  well, 5*4/2
how did we get 10 for the fourth element?  well, 10*2/4


\bf (2x-3y)^4\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^4(-3y)^0\\
2&+4&(2x)^3(-3y)^1\\
3&+6&(2x)^2(-3y)^2\\
4&+4&(2x)^1(-3y)^3\\
5&+1&(2x)^0(-3y)^4
\end{array}


\bf (3a+4b)^8\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(3a)^8(+4b)^0\\
2&+8&(3a)^7(+4b)^1\\
3&+28&(3a)^6(+4b)^2\\
4&+56&(3a)^5(+4b)^3\\
5&+70&(3a)^4(+4b)^4\\
6&+56&(3a)^3(+4b)^5\\
7&+28&(3a)^2(+4b)^6\\
8&+8&(3a)^1(+4b)^7\\
9&+1&(3a)^0(+4b)^8
\end{array}

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
7 0
3 years ago
Read 2 more answers
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Norma-Jean [14]

A budget is a periodical compilation of the estimated revenue earned and expenses incurred within a given time period

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5 0
3 years ago
What are the steps to get 1/7
madreJ [45]

1/7 is your answer. It can't be reduced any further. If there is supposed to be a problem, next time, add it.

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The answer is 8 okay
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4 years ago
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