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inna [77]
3 years ago
10

Can you guys help me. I would appreciate if you guys tell me how did you get the answer. Please and thank you

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

Answer:

the first one 8za also plz give heart

Step-by-step explanation:

i just know

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April and Amy are twin sisters. They have a total of 120 CDs. If Amy has twice as many CDs as April. How many CDs do they each h
gulaghasi [49]
120 = 2x + x
120 = 3x
120/3 = x
40=x <- Solved for how many cds april has.
Since amy has twice as many cds, she would have 80 cds
4 0
3 years ago
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
Select the correct answer. Given the equations `9x + (3)/(4)y = 6` and `2x + (1)/(2)y = 9`, by what factor would you multiply th
Minchanka [31]

-3/2 is the  factor would multiply the second equation to eliminate y.

The correct option is (C).

<h3>What is factor?</h3>

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

Given equation is :

9x+3/4 y =6

2x+1/2 y =9

If we have to eliminate the y variable so we have to multiply it by factor -3/2

Then the second equation become

-3/2(2x+1/2 y =9)

-3x- 3/4 y =- 27/2

As we can see the y variable of both the equation is same.

Hence, -3/2 is the  factor would multiply the second equation to eliminate y.

learn more about this concept here:

brainly.com/question/24182713

#SPJ1

4 0
2 years ago
Mrs. Jacobson wants to order toy instruments to give as prizes to her music students. The table shows the prices for various ord
Leona [35]
First let as solve all unit pirce
whistles 21.25 / 25 = $ 0.85 per unit
36 / 50 = $ 0.72 per unit
60 / 80 = $ 0.75 per unit
kazoos
10 / 25 = $ 0.4 per unit
18.50 / 50 = $ 0.37 per unit
27.20 / 80 = $ 0.34 per unit
a.) $ 0.85 - $ 0.72 = $ 0.13
b.) 10 / 25 = $ 0.4 per unit
c.) he must order 80 kazoos she should
order
7 0
2 years ago
Read 2 more answers
I need help solving this problem.
madam [21]

(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)

2x^2 + 3x + 4x - 9 = 2x^2 +7x -9

2x^2 + 7x - 9 - x^2 -7x = x^2 -9

The answer is : x^2 - 9

6 0
3 years ago
Read 2 more answers
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