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Sergeu [11.5K]
3 years ago
12

What does x equal in 150 = -6(x)^2 + 100x -180

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x

=

25

+

√

130

3

,

25

−

√

130

3

Decimal Form:

x

=

12.13391808

…

,

4.53274858

…

Step-by-step explanation:

Anettt [7]3 years ago
6 0

Answer:

x=\frac{25-\sqrt{130}}{3}

Step-by-step explanation:

x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}

x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}

x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}

x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}

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I need help fast please!!
kaheart [24]

Solution set is: (7,\frac{13}{3})

Option B is correct

Step-by-step explanation:

We need to find the solution to system of equations

y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5

Let:

y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)

Putting value of y from eq(2) into eq(1)

\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7

So, value of x=7

Putting value of x into equation 1 to find the value of y:

y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}

So, value of y = \frac{13}{3}

Solution set is: (7,\frac{13}{3})

Option B is correct

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

3 0
3 years ago
What is the mean of the values in the dot plot?<br><br> Enter your answer in the box.
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Answer:45.3333333333333333333333333333333333333333333...

Step-by-step explanation: ad all of them together (272) divide them by 6 =45.33...

8 0
3 years ago
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skad [1K]

Answer:

Original price: $

55

Discount percentage:

46.75

%

Results

Discount:

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Final Price:

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Step-by-step explanation:

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monitta
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