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3 years ago

11

Strawberries are $3.50 per pound. you bought $18.25 worth of strawberries (X=?)

1 answer:

Andru [333]3 years ago

6 0

3.50/x=18.25 to solve for x do 18.25 divided by 3.50

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What is the slope of y = - 1 + 3x

mihalych1998 [28]

Answer:

Slope <em>m</em> = 3

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

y = -1 + 3x

<u>Step 2: Rewrite</u>

<em>Rearrange</em>

y = 3x - 1

<u>Step 3: Break Function</u>

<em>Identify parts</em>

Slope <em>m</em> = 3

y-intercept <em>b</em> = -1

8 0

3 years ago

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

I was wondering if anyone could tutor me on another app I haven't been to school since the last last school year and im very beh

Keith_Richards [23]

Answer:

May I ask what subject you are behind in?

5 0

3 years ago

How many feet are in 57 miles

mezya [45]

Answer:

300960

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to (m^8n^−4)^14 ?

umka2103 [35]

Which expression is equivalent to $(m^8\times n^-4)^ 1/4$

Answer:

m^2/n

Step-by-step explanation:

Given.

I assume this is your expression:

The expression is $=(m^{8} \times n^{-4} )^{\frac{1}{4} }$

Now simplify the expression by multiplying the power.

$=(m^{8\times \frac{1}{4}} \times n^{-4\times \frac{1}{4}}} )$

$=(m^{2} \times n^{-1} )$

$=\frac{m^{2}}{n}$

So, the expression is equivalent to $\frac{m^{2}}{n}$

6 0

3 years ago