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blondinia [14]
3 years ago
11

Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

x={-sqrt(103/7)+4, sqrt(103/7) +4}

Step-by-step explanation:

Subtract 7x from both sides: 7x^2-56x=-9

Divide both sides by 7: x^2-8x=-9/7

Solve for a (2ax=-8x): -4

Plug a back in: -9/7+(-4)^2=103/7

Complete the square: (x-4)^2=103/7

Therefore, x={-sqrt(103/7)+4, sqrt(103/7) +4}

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What is the fractional equivalent of the repeating decimal 0.2 ?​
Inessa05 [86]

Answer:

1/5

Step-by-step explanation:

I put it in a graphing calculator and converted it into a fraction

3 0
4 years ago
Write an expression with 4 terms , containing the coefficients 3,6, and 9
Vaselesa [24]
4x^3+6x^2-9x+1 is an example
3 0
3 years ago
Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%.
coldgirl [10]
\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.03)(5)\implies \boxed{I=180}\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.04)(5)\implies \boxed{I =240}\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &6
\end{cases}
\\\\\\
I=1200(0.03)(6)\implies \boxed{I =216}
8 0
4 years ago
If the perimeter is 284, what is the value of a? <br> Please show work xx
devlian [24]

Answer:

8

Step-by-step explanation:

Perimeter is 284 means the sum of the side measurements is 284.

That is, we have to solve:

(6a+8)+(12a)+(10a-4)+(6a+8)=284

Combine like terms:

(6a+12a+10a+6a)+(8+0+-4+8)=284

Simplify:

34a+12=284

Subtract 12 on both sides:

34a=284-12

Simplify:

34a=272

Divide both sides by 34:

a=\frac{272}{34}

Simplify:

a=8

3 0
4 years ago
Read 2 more answers
20 is what percent of 100
Gemiola [76]
20 would be 20% of 100.

Just like 67.67 would be 67.67% of 100.

:)
6 0
3 years ago
Read 2 more answers
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