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Roman55 [17]
3 years ago
7

Are these Equivalent expressions 4(2 + 3) and 4(2) + 4(3)

Mathematics
2 answers:
Nata [24]3 years ago
7 0

Answer:

40

Step-by-step explanation:

so its simple since the 4(2+3) are in brackets u would put multiply the number in the brakcets for example 2+3 is 5 and that 4 at the side you would multiply it by 4 and you get 20 but then the 4(2) that would just be 4x2 becuase those brackets are singnifieing that its like a multipication problem same with the 4(3) its the same as 4x3 put it all together and you get 40

slava [35]3 years ago
4 0

Answer:

Yes, they are equivalent.

Step-by-step explanation:

  1. To see if they're equivalent, you have to solve them. Start with the first one. Steps are below.
  2. Apply the distributed property: 8 + 12
  3. 8 + 12 = 20

For second expression:

  1. 4(2) = 4 × 2 = 8
  2. 4(3) = 4 × 3 = 12
  3. Put them together: 8 + 12
  4. 8 + 12 = 20

Making a conclusion:

Because they both have the same answer, they are equivalent expressions.

I hope this helps!

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Solution :

Given :

$P'(x) = -0.0008x^3+0.20x^2+46.8x,$    for x ≤ 200

Total profit when 120 members are enrolled is :

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Using the left end points, we get,

The values of x_i are : { 0, 20, 40, 60, 80, 100}

Therefore,

$P'(x_1) = P'(0)=-(0.0008)(0)^3+(0.20)(0)^2+(46.8)(0)$

                        = 0

$P'(x_2) = P'(20)=-(0.0008)(20)^3+(0.20)(20)^2+(46.8)(20)$

                          = 1009.6

$P'(x_3) = P'(40)=-(0.0008)(40)^3+(0.20)(40)^2+(46.8)(40)$

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$P'(x_4) = P'(60)=-(0.0008)(60)^3+(0.20)(60)^2+(46.8)(60)$

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$P'(x_5) = P'(80)=-(0.0008)(80)^3+(0.20)(80)^2+(46.8)(80)$

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$P'(x_6) = P'(100)=-(0.0008)(100)^3+(0.20)(100)^2+(46.8)(100)$

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= (20)(17,000)

= 340,000 cents

$=\frac{340000}{100} \ \text{dollars}$

= 3400 dollars

Hence, the required total profit is 3400 dollars.

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<h2>Concept: </h2>

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Please let me know if you have any questions

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