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tester [92]
3 years ago
15

May someone please show me how to complete this problem? Thank you!

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
A. See the picture for steps

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. If α and β are the roots of
Lostsunrise [7]

Answer:

18x^2+85x+18 = 0

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> 2x^2+7x-9=0

Comparing it with ax^2+bx+c = 0, we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

5 0
3 years ago
Read 2 more answers
PLEASE HELP!!
Dima020 [189]

Answer:

A. 90°+m∠4

Step-by-step explanation:

Also  

∠ A + ∠ C = 180  o = ∠ B + ∠ D

⇒ 2 x+ ( 3 x − 5 ) = 180  0 = ( x + 5 ) +  ∠  C

5 x  −  5  =  180

Add 5 to both sides

5 x  =  185

Divide both sides by 5

x =  185  5  =  37

But it was A. 90°+m∠4

4 0
3 years ago
list the next nine multiples of each number Find the common multiples. Multiples of 4: 4, Multiples of 7:7, Common multiples: Mu
Alenkinab [10]
3 : 3,6,9,12,15,18,21,24,27,30

4 : 4,8,12,16,20,24,28,32,36

7: 7,14,21,28,35,42,49,56,63

9: 9,18,27,36,45,54,63,72,81
6 0
3 years ago
Read 2 more answers
(9.4x-3y) -(4.5x-8y) simplified
Elena-2011 [213]

Answer:

4.9x + 5y

Step-by-step explanation:

(9.4x - 3y) - (4.5x - 8y) \\  = 9.4x - 3y - 4.5x + 8y \\  = 9.4x - 4.5x + 8y - 3y \\  = 4.9x + 5y

6 0
4 years ago
One serving of the food product contains 1g total saturated fat or 5% daily value (DV) for saturated fat. What is the daily valu
Leona [35]

Answer:

The daily value for saturated fat is 20g.

Step-by-step explanation:

Percentage problems can be solved by rule of three

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

A percentage problem is an example where the relationship between the measures is direct.

The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:

1g - 5%

xg - 100%

5x = 100

x = \frac{100}{5}

x = 20g

The daily value for saturated fat is 20g.

6 0
3 years ago
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