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antiseptic1488 [7]
3 years ago
11

(3x – 4)+(2x+1) Communative and distrubutive prooey

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

(3x \times 2x) +  ( - 4 \times 1) \\ 6x +  - 4

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4 years ago
The sum of the first number cubed and the second number is 500 and the product is a maximum.
soldier1979 [14.2K]

We are given the following information:

the sum of the first number cubed and the second number is 500

their product is a maximum

We are looking for the 2 missing numbers.

To answer this, let's represent the two numbers as x and w.

From the given, we can form the following equation:

x^3+w=500

We can then express y as:

w=500-x^3

We can express their product as:

x(500-x^3)=500x-x^4

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

\begin{gathered} f(x)=-x^4+500x \\ f^{\prime}(x)=-4x^3+500 \end{gathered}

Then we solve for the value of x where f'(x) = 0.

\begin{gathered} -4x^3+500=0 \\ -4x^3=-500 \\ x^3=125 \\ x=5 \end{gathered}

Then we use x = 5 to solve for the second number, w.

\begin{gathered} w=500-x^3 \\ w=500-5^3 \\ w=500-125 \\ w=375 \end{gathered}

Therefore, the two numbers are 5 and 375.

3 0
1 year ago
Elena and Noah are each filling a bucket with water. Noah's bucket is 2/5 full and the water weighs 2 1/2 pounds. How much does
Xelga [282]

Answer:

  6.25 pounds

Step-by-step explanation:

The number of pounds of water the bucket holds is ...

  pounds/bucket = (2.5 pounds)/(0.4 bucket) = 6.25 pounds/bucket

8 0
3 years ago
Read 2 more answers
abercrombie & Fitch is having a sale. The sign posted in the store says, "everything is marked down 65%." Scott buys a jacke
nikdorinn [45]

a) We have that the discount is 65 %

Scott buys a jacket for $150

First, we will calculate the discount

150\times\frac{65}{100}=97.5

then we need to subtract the quantity calculated above from the original price

150-97.5=52.5

After the markdown Scott paid $52.5

b.

In order to know the taxes first, we need to calculate the 5% of $52.5

52.5\times\frac{5}{100}=2.625

then we will sum the 5% plus the price after the markdown

52.5+2.625=55.125

The total cost of the jacket is $55.125

5 0
1 year ago
✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨
irina [24]

Answer:

what

Step-by-step explanation:

6 0
3 years ago
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