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galina1969 [7]
3 years ago
13

(Picture) MULTIPLYING MONOMIALS AND BINOMIALS

Mathematics
1 answer:
Sauron [17]3 years ago
3 0

Answer:

Option C is correct, i.e. 2x² +7x -4.

Step-by-step explanation:

Given is (2x-1)(x+4)

Applying FOIL method:-

F- multiply First two, O- multiply Outer two, I- multiply Inner two, L- multiply Last two.

So, (2x-1)(x+4) = 2x*x +2x*4 -1*x -1*4

(2x-1)(x+4) = 2x² +8x -1x -4

(2x-1)(x+4) = 2x² +7x -4

Hence, option C is correct, i.e. (2x-1)(x+4) = 2x² +7x -4.

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sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the
nordsb [41]

Answer:

<em>8 more men are needed to complete the job</em>

Step-by-step explanation:

<u>Proportions</u>

This problem can be solved by step-by-step reasoning applying proportions:

  • 16 men working 9 hrs a day complete the job in 14 days
  • 16 men working 1 hr a day complete the job in 14*9 days

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

  • 1 man working 1 hr a day complete the job in 14*9*16 days

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

  • 1 man working 7 hrs a day complete the job in 14*9*16/7 days

More hours/day=less days to complete the job

  • x men working 7 hrs a day complete the job in 14*9*16/(7*x) days

We know this last time is 12 days, thus:

\displaystyle 12=\frac{14*9*16}{7*x}

Solving for x:

\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job

7 0
3 years ago
According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its
sergij07 [2.7K]

Answer:

Square base dimension = 15 inches

Maximum volume = 7200 inches^3

Step-by-step explanation:

V = x^2y ..... eq 1

Let the square base be x and the height y

Oversize formular is given by

Y + 4x = 92

Y= 92 - 4x .....eq 2

Put eq 2 into eq 1

V = x^2 ( 92 - 4x^3)

V= 92x^2 - 4x^3

Using derivatives

V= 184x - 12x^2

V'= 0 = 184x - 12x^2

X(184 -12x)

X=0

X = 184/12 = 15.33 approximately 15 inches

Maximum Volume = V= 92(15)^2 -5(15)^3

V= 92(225) - 4(3475)

V= 20700 - 13500

V= 7200 inches^3

7 0
4 years ago
A grocery store has 164 shelves for bottled goods. Each shelf can hold 23 bottles. How many bottles will the shelves hold in all
satela [25.4K]

Answer:

3,772 bottles.

Step-by-step explanation:

To find the answer to this question, you want to multiply the two values.

There are 164 shelves and each shelve holds 23 bottles.

164 x 23 = 3,772

So, the shelves can hold a total of 3,772 bottles.

5 0
2 years ago
What is the distance between (-2,-3) and (1, -3) ? units 0-1) units O units O 3 units​
iren2701 [21]

Step-by-step explanation:

Hi... Your answer is 3 units

8 0
3 years ago
Find the term that must be added to the equation x^2+6x=1 to make it into a perfect square
baherus [9]

Answer:

C

Step-by-step explanation:

Half of b, and then square that is how to complete the square. Therefore, half of b is 3 and square of 3 is 9.

8 0
2 years ago
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