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d1i1m1o1n [39]
3 years ago
6

true or false, when graphing a linear Inequality in two variables, the inequality symbol " < " states to use a broken line.

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

Ture I tink

Step-by-step explanation:

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

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

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

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

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

Then we get two critical points,

(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
3 years ago
You buy a house for $230,000. It depreciates 3% per year. How much is it worth in 5 years?
Nookie1986 [14]
I honestly don’t know the equation but I just took the starting price, $230,000 and multipled it by .03 which was 6,900 and subtracted that from 230,000: 223,190. I repeated that 5 times. The answer I got is 197,508.83
3 0
2 years ago
Ellie and Jamie like to bake cookies. Ellie baked 24 chocolate chip cookies, and Jamie baked p peanut butter cookies. Together t
kirza4 [7]

Answer:

C) p + 24 = 56

Step-by-step explanation:

The total number of cookies baked = Number of cookies Ellie baked + Number of cookies Jamie baked

Ellie baked 24 chocolate chip cookies.

Jamie baked p peanut butter cookies.

Total of 56 cookies.

Hence:

56 = p + 24

Therefore, the equation that can be solved for p to find the number of cookies Jamie baked is

p + 24 = 56

Option C is the correct option

7 0
3 years ago
Can someone please help I will give brainliest and please if you don’t know the answer don’t put anything due at 12:00
hjlf

Answer:

Answer: (7,-2)

Step-by-step explanation:

Look at the formula

1) (x – h)^2 + (y – k)^2 = r2

the center is described by (h,k)

now look at

(x – 7)^2 + (y +2)^2 = 25

here h=7

but k= -2 because is (y+2) =(y-(-2))

4 0
3 years ago
Help plzzzzzzzzhwhehdhd
cricket20 [7]

Answer: d, eight and fifty-three thousandths

Step-by-step explanation:

The number before the decimal place in the units column is a whole number (8).

The numbers after (.053) are thousandths because the whole number (8.053) consists of 4 numbers the same way a 1000 does.

Sorry I found the last bit harder to put into words, but I hope it helps :)

4 0
3 years ago
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