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2 years ago

11

Divide. (x+4)(2x−5)(x−1) ---------------------- (x+1)(x+4)(2x−5)

1 answer:

maksim [4K]2 years ago

7 0

Step-by-step explanation:

(x+4)(2x−5)(x−1)

----------------------c

(x+1)(x+4)(2x−5)

(x+4)^(1-1)(2x-5)^(1-1)(2x-5)^(1-1)

(x+4)°(2x−5)°(x−1)°

1×1×1

1

law of indices says that x²/x=x^(2-1)=x

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13. * 7 points 13 A ladder is 50 feet and cast a 25 foot shadow. Mark is 6 feet how long would his shadow be? A 25 feet B 32 fee

Rina8888 [55]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Use Lagrange multipliers to find the maximum and minimum values of (i) f(x,y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (i

sp2606 [1]

i. The Lagrangian is

$L(x,y,\lambda)=81x^2+y^2+\lambda(4x^2+y^2-9)$

with critical points whenever

$L_x=162x+8\lambda x=0\implies2x(81+4\lambda)=0\implies x=0\text{ or }\lambda=-\dfrac{81}4$

$L_y=2y+2\lambda y=0\implies2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1$

$L_\lambda=4x^2+y^2-9=0$

If $x=0$ , then $L_\lambda=0\implies y=\pm3$ .
If $y=0$ , then $L_\lambda=0\implies x=\pm\dfrac32$ .
Either value of $\lambda$ found above requires that either $x=0$ or $y=0$ , so we get the same critical points as in the previous two cases.

We have $f(0,-3)=9$ , $f(0,3)=9$ , $f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25$ , and $f\left(\dfrac32,0\right)=\dfrac{729}4$ , so $f$ has a minimum value of 9 and a maximum value of 182.25.

ii. The Lagrangian is

$L(x,y,z,\lambda)=y^2-10z+\lambda(x^2+y^2+z^2-36)$

with critical points whenever

$L_x=2\lambda x=0\implies x=0$ (because we assume $\lambda\neq0$ )

$L_y=2y+2\lambda y=0\implies 2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1$

$L_z=-10+2\lambda z=0\implies z=\dfrac5\lambda$

$L_\lambda=x^2+y^2+z^2-36=0$

If $x=y=0$ , then $L_\lambda=0\implies z=\pm6$ .
If $\lambda=-1$ , then $z=-5$ , and with $x=0$ we have $L_\lambda=0\implies y=\pm\sqrt{11}$ .

We have $f(0,0,-6)=60$ , $f(0,0,6)=-60$ , $f(0,-\sqrt{11},-5)=61$ , and $f(0,\sqrt{11},-5)=61$ . So $f$ has a maximum value of 61 and a minimum value of -60.

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2 years ago

Solve the following equation for I. A = 2 πr + πrl. Explain each step.<br> BRAINLY IF CORRECT

hram777 [196]

Answer:

Step-by-step explanation:

A = 2π +πrl

A - 2π = πrI subtract by 2π

(A- 2π)/(πr) = I divide by πr to isolate I

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2 years ago

A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?

Sophie [7]

60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

<em>2/5 of tank : 2/3 hours </em>

<em>x of tank : 1 hour </em>

Cross multiply to get:

2/3x = 2/5

x = 2/5 ÷ 2/3

x = 2/5 x 3/2

= 0.6 of the tank

= 60%

= 3/5 of tank

In conclusion, 60% of the tank will be filled in an hour.

<em>Find out more at brainly.com/question/14336804.</em>

6 0

1 year ago

I need help on this problem

Helen [10]

Answer:

if you solve it for the t your answer would be: pt+30pte−0.2t=600

but if you solved it for the p your answer would be: p=600t(1+30e−0.2t)

hope it works, sweete

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2 years ago