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natali 33 [55]
2 years ago
14

40=3x+x^2 How do I find the answer to this

Mathematics
1 answer:
tamaranim1 [39]2 years ago
8 0

Answer:

x = -8, x = 5

Step-by-step explanation:

This can be solved using Factorization method:

40 = 3x +  {x}^{2}  \\  \\  \implies \:  {x}^{2}  + 3x - 40 = 0 \\  \\   \implies \:  {x}^{2}  + 8x  - 5x- 40 = 0 \\  \\  \implies \:  x({x} + 8)  - 5(x + 8) = 0 \\  \\ \implies \:  ({x} + 8) (x - 5)  = 0 \\  \\ \implies \:  ({x} + 8) = 0 \:  \: or \:  \:  (x - 5)  = 0 \\  \\ \implies \:  x =  - 8 \:  \: or \:  \: x = 5 \\  \\ x =  - 8, \:  \: 5

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A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg
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Answer:

3 hours

Step-by-step explanation:

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

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2 years ago
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Answer:

The y-intercept is (0,1).  The x values at the horiz. intercepts are:

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Step-by-step explanation:

It'd be helpful to rewrite f(x) = 3-x2+3x-2 with the powers of x in descending order and using " ^ " to denote exponentiation:

f(x) = -x^2 + 3x -2 + 3, or

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Thus, there are two real, unequal roots.  They are:

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x =  ---------------------------------

                     2


or { (-3+√5)/2, (-3-√5)/2 }

These are your two horizontal intercepts, where the function is zero.

Because the coefficient -1 of the x^2 term is negative, the parabola representing this function opens down.

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Answer:

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