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Liula [17]
3 years ago
15

I need to how to work this out

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

3

Step-by-step explanation:

an intercept is what goes in it equal times like 4 is 2 because 2 goes in 4 2 times

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If x=2/3 and x=-3 are the roots of the equation ax^2+7x+b=0 find the values of a and b
Gnesinka [82]

<u>ANSWER:  </u>

If x = \frac{2}{3} and x = -3 are the roots of the equation, then values of a and b are 3, -6

<u>SOLUTION: </u>

Given, quadratic equation is a x^{2}+7 x+b=0 and its roots are -3 , \frac{2}{3}

We know that, for any quadratic equation of form a x^{2}+b x+c=0 with roots x_{1} and x_{2} then,

Sum of roots (x_{1} +x_{2}) = \frac{-b}{a}

Product of roots ( x_{1} \times x_{2}) = \frac{c}{a}

Now, for given quadratic equation x_{1} = -3 and x_{2} = \frac{2}{3}

hence Sum of roots = \frac{-7}{a}

x_{1} + x_{2} = \frac{-7}{a}

-3 + \frac{2}{3} = \frac{-7}{a}

on solving we get "a" = 3

Now product of roots = x_{1} \times x_{2} = \frac{b}{3}

-3 \times \frac{2}{3} = \frac{b}{3}

b = -6

hence, the values of a and b are 3, -6.

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What is the thousands place of 920
goldfiish [28.3K]

Answer:

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Step-by-step explanation:

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icang [17]

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Step-by-step explanation:

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Also, the total area covered by the black tiles is

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The mosaic has a total area of 144 square centimeters. This means that

3x + 63 = 144

3x = 144 - 63

3x = 81

x = 81/3 = 27

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Your answer is 116

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