The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
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Answer:
8 pencils
Step-by-step explanation:
We can reverse everything that is happening in the problem like this!...
Jeremiah has 20 - 4 pencils = 16 than 2 reverse operation of multiplication which will be division then 16 ÷ 2 = 8
Check work? 8 more than 2 times equals 16 + 4 more that Jeremiah has equals 20 pencils
Answer:
314 feet
Step-by-step explanation:
If you would like to know Mike's tax, you can calculate this using the following steps:
a market value ... 310000
the property ... 40% of the market value = 40% * 310000 = 40/100 * 310000 = 124000
the tax rate ... 145.10 per 1000 of assessed valuation
145.10 ... 1000 of assessed valuation
x ... 124000 of assessed valuation
____________________________
145.10 * 124000 = 1000 * x /1000
x = 145.10 * 124000 / 1000
x = 17992.4 (Mike's tax)
The correct result would be: Mike's tax is 17992.4.
Answer:
60
Step-by-step explanation:
