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3 years ago

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.

Mathematics

2 answers:

ad-work [718]3 years ago

4 0

Total cost = .42(P)
Example: 5 lbs
$2.10 = $.42(5)

Darina [25.2K]3 years ago

3 0

C(p) = 0.42p <== ur function

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Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

2 years ago

Read 2 more answers

If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark bra

Doss [256]

Answer:

I = prt / 100

120x3x5 / 100

= 18

6 0

3 years ago

2x + 8 = 3x + x + 18<br> how do i solve this

Gnoma [55]

Answer:

x=-10

Step-by-step explanation:

reorder the terms: 8+2x=18+3x

solve: 8+2x=18+3x

-3x -3x

_________

8-1x=18

-8. -8

________

-1x= 10

__ __

-1 -1

________

<u>x= -10</u>

3 0

2 years ago

I need this solved please

ss7ja [257]

Answer:

x = 23

y = 128

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

98 = 2x + 3x - 17

115 = 5x

x = 23

Angles 3x - 17 and y form a linear pair, so they are supplementary.

3x - 17 + y = 180

3(23) - 17 + y = 180

69 - 17 + y = 180

52 + y = 180

y = 128

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2 years ago

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The area (in square feet) of the school sign can be represented by

yawa3891 [41]

Answer:

5x^2+2x-432

Step-by-step explanation:

15x^2+x-215×2+x−2

=15x^2+x-430+x−2

=15x^2+x+x-430-2

=15x^2+2x-432

3 0

2 years ago