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2 years ago

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

(3k + 5)(2k^2 – 5k – 3)
= 6k^3 - 15k^2 - 9k + 10k^2 - 25k - 15
= 6k^3 - 5k^2 - 34k - 15

hope that helps

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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 -3.75 $x^{2}$

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

=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 in the sum of cubes 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 - 4x^3*y^4 - 8xy^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