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3 years ago

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

Mathematics

2 answers:

Nata [24]3 years ago

7 0

Answer:

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:

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

For second expression:

4(2) = 4 × 2 = 8
4(3) = 4 × 3 = 12
Put them together: 8 + 12
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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zubka84 [21]

Answer:

I believe the answer would be 44cm for the whole perimeter. I hope this helps some what.

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3 years ago

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A record club has found that the marginal profit,

tankabanditka [31]

Solution :

Given :

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

Total profit when 120 members are enrolled is :

$\sum_{i=1}^6P'(x_i) \Delta x$ with $\Delta x = 20$

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

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

= 2140.8

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

= 3355.2

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

= 4614.4

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

= 5880

$\sum_{i=1}^6P'(x_i) \Delta x = P'(x_1)\Delta x + P'(x_2)\Delta x + P'(x_3)\Delta x + P'(x_4)\Delta x + P'(x_5)\Delta x + P'(x_6)\Delta x$

= (0)(20) + (1009.6)(20) + (2140.8)(20) + (3355.2)(20) + (4614.4)(20) + (5880)(20)

= (20)( 0 + 1009.6 + 2140.8 + 3355.2 + 4614.4 + 5880)

= (20)(17,000)

= 340,000 cents

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

= 3400 dollars

Hence, the required total profit is 3400 dollars.

8 0

3 years ago

The measure of the exterior angle of the triangle is ___

mr_godi [17]

Answer: 114°

Step-by-step explanation:

<h2>Concept: </h2>

Here, we need to know the idea of the "Exterior Angle theorem".

<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.

If you are still confused, then refer to the attachment below for a graphical explanation.

<h2>Solve:</h2>

Given

24 + (2x + 18) = 3x + 6

Put like terms together

24 + 18 + 2x = 3x + 6

Combine like terms

42 + 2x = 3x + 6

Subtract 6 on both sides

42 + 2x - 6 = 3x + 6 - 6

36 + 2x = 3x

Subtract 2x on both sides

36 + 2x - 2x = 3x - 2x

x = 36

Exterior angle = 3x + 6 = 3(36) + 6 = 114°

Hope this helps!! :)

Please let me know if you have any questions

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Nastasia [14]

Answer:

Option C and D that is y= tan x and y= cot x

Step-by-step explanation:

The range is the values of y means the values that y can take in a function:

So, range of tan x and cot x are all real numbers.

Period of tan x is $\pi$

Period of cot x is $\pi$

Option A and B that is secx and csc x are discarded

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Phoenix [80]

Step-by-step explanation:

The mean is- 100 ÷ 5= 20

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3 years ago

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