3 years ago

Find a quadratic equation with integer coefficients that has the following solution set of {4,4/5}

Mathematics

1 answer:

schepotkina [342]3 years ago

4 0

(x-4)(x-4/5)

Hope this helped!

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

makkiz [27]

Answer:

Step-by-step explanation:

$x + 2y + 3z = 12$

$z=\frac{12-x-2y}{3}$

Volume = $V=f(x,y) = xy(\frac{12-x-2y}{3} )$

find partial derivatives using product rule

$f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)$

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

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2 years ago

Mr. Jones eats out at his favorite buffet restaurant every Friday night. If the cost is $9 and he budgets $42 for the month, how

alexandr402 [8]

Answer:

He will be able to eat nine times.

Step-by-step explanation:

Because nine times nine is 91 which is on one less then what he has, so that means he will be able to eat there nine times. Hope I helped

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2 years ago

All most done thanks for hanging in there

Ber [7]

Answer:

Angle CBE

Step-by-step explanation:

They share the same degree. Or are the same angle in a different place with a different name.

7 0

2 years ago

Read 2 more answers

8. Juan Torres had $899.58 in his bank

Step2247 [10]

D . Is the correct answer

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2 years ago

One month ruby worked six hours more than Isaac and svetlana worked four times as much hours as ruby together they worked 126 ho

natulia [17]

R=I+6 S=4R I

I+(I+6)+4(I+6)=126

Basic algebra (I dont know how to show it) leaves you with: 6I = 90, divide both sides by 6 and I=15

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3 years ago