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wlad13 [49]
3 years ago
15

Solve any method: 9x^2+9x=4??

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0
Subtract 4 from both sides, solve using quadratic formula
ax^2+bx+c
(-b(+or-) Square Root of b^2 - 4ac)/2a

9x^2+9x-4=0
-9(+or-)Square root of 9^2-4(9)(-4)/2(9)

Solve^
svetoff [14.1K]3 years ago
4 0
9x² + 9x = 4
9x² + 9x - 4 = 4 - 4
9x² + 9x - 4 = 0
x = <u>-9 +/- √(9² - 4(9)(-4))</u>
                2(9)
x = <u>-9 +/- √(81 + 144)</u>
                 18
x = <u>-9 +/- √225
</u>            18
x = <u>-9 +/- 15</u>
           18
x = <u>-9 + 15</u>    x = <u>-9 - 15</u>
          18                 18
x = <u>6</u>             x = <u>-24</u>
     18                    18
x = 1/3            x = -1 1/3
         
<u />
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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
3X3X11<br> Write the number whose prime factorization is given
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the prime factorization is 99

6 0
3 years ago
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Answer to 42.7 -(-12.4)
Aleks [24]
<span>42.7−<span>(<span>−12.4</span>)

</span></span><span>=<span>42.7−<span>(<span>−12.4</span>)

</span></span></span><span>=<span>42.7+12.4

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4 0
3 years ago
A store charges 6% VAT on all sales.<br>What is the total cost of a shirt marked at $30​
AURORKA [14]

Answer:

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Step-by-step explanation:

Assuming the 6% tax is separate from the $30, we can use this equation:

Total = Cost + Tax  (pretty self explanatory)

Method 1

Total = $30 + (6% * $30)

Total = $30 + $1.8

Total = $31.8

Method 2

Total = $30 * 1.06          (The 1 is the original cost, the .06 is the 6% tax)

Total = $31.8

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3 years ago
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