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3 years ago

I need help on the top one hellppp it’s due today

Mathematics

1 answer:

Digiron [165]3 years ago

7 0

Answer:

.666666... lph, 22 lawns

Step-by-step explanation:

6/9 to get lawns per hour.

Take that fraction times 33 to get lawns in 33 hours.

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. 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

3 years ago

Read 2 more answers

Please Help!! Write the function I'm vertex form y = -x^2-2x+6 y=

balu736 [363]

Rewrite in standard form and use the form to find the vertex.

(1, 5)

(x - 1)^2 + 5

7 0

3 years ago

The following equation is given.

SashulF [63]

5x² - 9x + 45 = 0

Δ = b² - 4.a.c

Δ = (-9)² - 4 . 5 . 45

Δ = 81 - 4. 5 . 45

Δ = -819

There's no real root.

7 0

3 years ago

Express in a simplified exponential notation 18a^3b^2/2ab

Sauron [17]

Hey there,

The answer is: 18a^3b2/2ab=9a^2*b

3 0

3 years ago

Read 2 more answers

The base of a rectangular prism is a square. The height of the prism is half the length of one edge of the base. The volume of t

ki77a [65]

Answer:

The prism is 3 by 3 by 1.5.

Step-by-step explanation:

The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.

The volume's prism is found using V = l*w*h. Substitute and simplify.

13.5 = x*x*1/2x

13.5 = 1/2 x^3

27 = x^3

3 = x

The prism is 3 by 3 by 1.5.

4 0

3 years ago