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Kitty [74]
3 years ago
11

4 (×+3)<44. Solve each inequality

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0
X+3<11
x<8

thatll be your answer
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There will be 6 people at Eli's cake party. She wants to bake enough cake so that each person she feeds eat at least 1/5 of the
Alexxx [7]

Answer:

2 cakes

Step-by-step explanation:

You need 2 cakes minimum for 6  people if she wants each person to get 1/5 of a cake.

4 0
2 years ago
There are 2 rows of 8 chairs set up in the library for a puppet show. How many chairs are set up? Use the Distributive Property
Alchen [17]
2 rows of 8 chairs
2*8=16
There are 16 chairs.
I hope this helps.
5 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex
velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y  , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8  λ x ,8 λ y  , 8 λ z>

8 = 8  λ x                     -------------1

8 = 8 λ y                      ----  ------2

4 = 8 λ z                    ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36

\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36

So the value of λ is

\lambda =\pm \dfrac{1}{2}

When λ = 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0
3 years ago
Read 2 more answers
What is -2 times positive three
Elanso [62]

Answer:

-6

Step-by-step explanation:

You multiply -2 by 3 and you get -6.

2 negatives or 2 positives equals a positive number in Multiplication and Division.

But a Negative number and a positive number equals a negative number in Multiplication and Division.

3 0
3 years ago
Read 2 more answers
Please answer I need help quick!!!
grigory [225]

Answer:

85

Step-by-step explanation:

Place the 9 in for X and 9 to the second power is 81. Then add 4...85.

4 0
3 years ago
Read 2 more answers
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