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2 years ago

-3+9-27+81-243+729. Using the sigma notation to write the given sum

Mathematics

1 answer:

IgorC [24]2 years ago

5 0

Answer:

546

Step-by-step explanation:

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What is the slope of the line represented by the equation f(x) = -3x + 7? A. -7 B. -3 C. 3 D. 7

Basile [38]

Answer:

B. -3

Step-by-step explanation:

y = mx + b is slope intecept formula

m = slope

y = -3x + 7

-3 = m

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3 years ago

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Use the picture to figure out the combination.

dimulka [17.4K]

I think it’s 4952 but i’m not sure

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2 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

inessss [21]

Answer:

(a). y = 3x - 11 ; (b). y = $-\frac{1}{3}$ x - 1

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

(a). Equation of ║ line is

y + 2 = 3(x - 3)

y = 3x - 11

(b). Slope of perpendicular line is $-\frac{1}{3}$

y + 2 = $-\frac{1}{3}$ (x - 3)

y =  $-\frac{1}{3}$  x - 1

5 0

2 years ago

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A group of 4 friends paid a total of $50.24 for tickets to a museum. Each friend paid the same amount for a ticket. Solve this a

Dmitry_Shevchenko [17]

Answer:

$12.56

Step-by-step explanation:

$50.24 divided by the 4 friends = $12.56

I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.

6 0

2 years ago

. If α and β are the roots of

Lostsunrise [7]

Answer:

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

Step-by-step explanation:

Given Equation is

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

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

Now, Finding the equation whose roots are:

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

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

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

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

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

This is the required quadratic equation.

5 0

2 years ago

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