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3 years ago

9

I need help please :((((

1 answer:

patriot [66]3 years ago

5 0

A: (-4, -2)

B: (-4, -4)

C: (1, 4)

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The _____ in scientific notation tells you how many places to move the decimal point.

victus00 [196]

The exponent tells you how many places to move.

3 0

3 years ago

Help please. due soon.

Marat540 [252]

Answer:

10

Step-by-step explanation:

rise/run

rising 20 and running 2

20/2=10

3 0

3 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.

5 0

3 years ago

Please help, thank you! :)

maria [59]

Sales tax rate for the above sweater is charged at the rate of 8%

Step-by-step explanation:

Sweater’s cost initially- 28$

Cost of Sweater after 30.24$

Sales tax rate deducted?

Analysing the above-provided details we conclude that an increase in the cost was probably due to the addition of sale tax.

Sales tax charged= Cost of the sweater after charging- initial cost

= 30.24$-28$

=2.24$

Percentage of sales tax charged= (sales tax charged/initial cost) *100

Substituting the values of the sales tax and initial cost in the above-provided equation-

= (2.24/28) *100

=8%

Hence the Sales tax charged at the sweater was 8%

6 0

3 years ago

R, S, and T are coplanar.<br> True<br> False

Pavel [41]

False, because when you connect them the don't even look like a line.

Hope this helps! ;)

8 0

3 years ago