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amm1812
3 years ago
11

How is completing the square beneficial?

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
If it is, then you can solve the equation by taking the square root of both sides of the equation. ... Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation
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Can't figure it out!!
Zanzabum
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \cfrac{1}{x}  \qquad 
\begin{cases}
x_1=2\\
x_2=b
\end{cases}\implies \cfrac{f(b)-f(2)}{b-2}=-\cfrac{1}{10}
\\\\\\
\cfrac{\frac{1}{b}-\frac{1}{2}}{b-2}=-\cfrac{1}{10}\implies 
\cfrac{\frac{2-b}{2b}}{b-2}=-\cfrac{1}{10}\implies \cfrac{2-b}{2b}=-\cfrac{b-2}{10}
\\\\\\


\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying
\\\\\\
2b^2-4b-10b+20=0\implies 2b^2-14b+20=0
\\\\\\
b^2-7b+10=0\implies 
(b-2)(b-5)=0\implies b=
\begin{cases}
\boxed{5}\\
2
\end{cases}
8 0
3 years ago
The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20
Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

0.40x+20

To solve for x,  subtract 20 on both sides, we get

0.40x

Divide 0.40 on both sides, we get

x......... → the number of  bars that could be ordered, with the shipping costs and their spending requirements must less than 450.

Thus, they can order from 0 to 449 bars, but no more.

4 0
3 years ago
Read 2 more answers
Help please!! I’m confused on this question. Thank you!!!
myrzilka [38]

Answer:

Im pretty sure that is an obtuse angle

Step-by-step explanation:

Hope that helps

6 0
3 years ago
Read 2 more answers
Solve this problem <br> 3d+d-7=25/4
creativ13 [48]
If that 25/4 is a fraction them the answer is 53/4. Or in simplest form 3 5/16 or 3.3125
4 0
3 years ago
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The answer they gave me is wrong and I got a terrible grade &gt;:( :,(
-BARSIC- [3]

Answer:

who?

Step-by-step explanation:

6 0
3 years ago
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