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Gemiola [76]
4 years ago
7

And equations.

Mathematics
2 answers:
max2010maxim [7]4 years ago
8 0

Answer:

y=2.50x

Step-by-step explanation:

dexar [7]4 years ago
5 0

Answer:

y = 2.5x

Step-by-step explanation:

Money raised is directly proportional to the no. of tickets sold

y = kx

y = 2.5 when x = 1

2.5 = k

y = 2.5x

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Use the completing the square method to find the roots of 2x^2+3x-15=13 include the steps, it would be greatly appreciated thank
Monica [59]

Answer:

The roots are

x1= \frac{-3+\sqrt{233}}{4}

x2= \frac{-3-\sqrt{233}}{4}

Step-by-step explanation:

we have

2x^{2}+3x-15=13

so

Group terms that contain the same variable, and move the constant to the opposite side of the equation

2x^{2}+3x=13+15

2x^{2}+3x=28

Factor the leading coefficient  

2(x^{2}+(3/2)x)=28

Complete the square. Remember to balance the equation by adding the same constants to each side

2(x^{2}+(3/2)x+(9/16))=28+(9/8)

2(x^{2}+(3/2)x+(9/16))=233/8

(x^{2}+(3/2)x+(9/16))=233/16

Rewrite as perfect squares

(x+(3/4))^{2}=233/16

square root both sides

(x+\frac{3}{4})=(+/-)\sqrt{\frac{233}{16}}\\ \\(x+\frac{3}{4})=(+/-)\frac{\sqrt{233}}{4}\\ \\x= -\frac{3}{4}(+/-)\frac{\sqrt{233}}{4}

x1= -\frac{3}{4}(+)\frac{\sqrt{233}}{4}=\frac{-3+\sqrt{233}}{4}

x2= -\frac{3}{4}(-)\frac{\sqrt{233}}{4}=\frac{-3-\sqrt{233}}{4}

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