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3 years ago

What is the sum of 4m(m-6) and 8(m-4)?

Mathematics

1 answer:

Alik [6]3 years ago

7 0

Step-by-step explanation:

4m2 - 24m + 8m - 32

4m2 - 16m - 32

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List a time when it might be useful to know the unit rate.

Andrej [43]

Answer:

a good time is when u are in math class and a teacher assigns u a homework of unit rate.

Step-by-step explanation:

3 0

3 years ago

Of the computer games Lynne owns, 5-12 are sport games and 3-12 are educational. What fraction of the games are either sport gam

Serhud [2]

Of 5 out of 12 (5/12) are sports games and 3 out of 12 (3/12) are educational, then you would add these together because you need a total for both because it would include one or the other, so both.

5/12 + 3/12= 8/12 or 2/3 are one or the other.

8 0

3 years ago

Read 2 more answers

Applications: Sarah's Pet Store never has more than a combined total of 16 cats and dogs. She also never has more than 9 cats. W

ankoles [38]

The possible solution is 12 cats and 4 dogs in Sarah's store.

Let x represent the number of cats and y represent the number of dogs.

Since Sarah's Pet Store never has more than a combined total of 16 cats and dogs. Hence:

x + y ≤ 16

Also, She also never has more than 9 cats. Therefore:

x > 9

The solution to the inequality is graphed. From the graph, the possible solution is 12 cats and 4 dogs

Find out more on inequalities at: brainly.com/question/24372553

4 0

2 years ago

The Ace Novelty company produces two souvenirs: Type A and Type B. The number of Type A souvenirs, x, and the number of Type B s

Molodets [167]

Answer:

500 type A; 3500 type B

Step-by-step explanation:

The method of Lagrange multipliers can solve this quickly. For objective function f(x, y) and constraint function g(x, y)=0 we can set the partial derivatives of the Lagrangian to zero to find the values of the variables at the extreme of interest.

These functions are ...

$f(x,y)=4x+2y\\g(x,y)=2x^2+y-4$

The Lagrangian is ...

$\mathcal{L}(x,y,\lambda)=f(x,y)+\lambda g(x,y)\\\\\text{and the partial derivatives are ...}\\\\\dfrac{\partial \mathcal{L}}{\partial x}=\dfrac{\partial f}{\partial x}+\lambda\dfrac{\partial g}{\partial x}=4+\lambda (4x)=0\ \implies\ x=\dfrac{-1}{\lambda}\\\\\dfrac{\partial \mathcal{L}}{\partial y}=\dfrac{\partial f}{\partial y}+\lambda\dfrac{\partial g}{\partial y}=2+\lambda (1)=0\ \implies\ \lambda=-2$

$\dfrac{\partial\mathcal{L}}{\partial\lambda}=\dfrac{\partial f}{\partial\lambda}+\lambda\dfrac{\partial g}{\partial\lambda}=0+2x^2+y-4=0\ \implies\ y=4-2x^2\\\\\text{We know $\lambda$, so we can find x and y:}\\\\x=\dfrac{-1}{-2}=0.5\\\\y=4-2\cdot 0.5^2=3.5$

Since x and y are in thousands, maximum profit is to be had when the company produces ...

500 Type A souvenirs, and 3500 Type B souvenirs

3 0

2 years ago

Please Answer ASAP!

Nikitich [7]

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

= 10

4 0

3 years ago