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quester [9]
2 years ago
11

Simplify using the vertical method. (3k + 5)(2k^2 – 5k – 3)

Mathematics
2 answers:
inna [77]2 years ago
6 0

Answer:

6k^3 - 5k^2 - 34k  - 15

Step-by-step explanation:

I just got 100% on this quiz

Gradpoint

Nikolay [14]2 years ago
4 0
<span>(3k + 5)(2k^2 – 5k – 3)
= 6k^3 - 15k^2 - 9k + 10k^2 - 25k - 15
= 6k^3  - 5k^2 - 34k  - 15

hope that helps</span>
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A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
George would like to build a garden this year, George measure out his proposed garden and would like to know how many square fee
Blababa [14]

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

Area = 6 * 8 = 48

The area of the trapezoid is:

Area = \frac{1}{2}(9 + 14) * 5

Area = \frac{1}{2}(23) * 5

Area = 11.5 * 5

Area = 57.5

So, the area of the garden is:

Total = 48 + 57.5

Total = 105.5

5 0
3 years ago
54x^3 +250y^3<br> in the sum of cubes<br> please helpppp
Slav-nsk [51]

Answer:

What is exactly the question?

4 0
3 years ago
Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
gladu [14]
Sum:

     3x^5*y - 2x^3*y^4 - 7x*y^3
 + -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
     -5x^5y - 6xy^3

Term 1: Degree = 6
Term 2: Degree = 4

Difference:

     3x^5*y - 2x^3*y^4 - 7x*y^3
 -  -8x^5*y + 2x^3*y^4 +x*y^3
---------------------------------------
     11x^5y - 4<span>x^3*y^4 - 8</span>xy^3

Term 1: Degree = 6
Term 2: Degree = 7
Term 3: Degree = 4

The degree of a term of a polynomial can be obtained by adding the exponents of the variables in that term.
5 0
3 years ago
4/7 of the birthday cake was eaten on your birthday. the next day your dad ate 1/2 of what was left. you get to finish the cake,
luda_lava [24]
During the birthday 4/7 of the cake was eaten so it remained 1-4/7=3/7
the next day 1/2 of 3/7 was eaten what remained is 3/7 divide by 1/2
to divide we invert the second fraction (1/2) and multiply 3/7
3/7 x 2/1=6/7
6 0
3 years ago
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