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4 years ago

I need help with this question i will need full working out could u help?

Mathematics

1 answer:

lilavasa [31]4 years ago

5 0

Answer:

Total charge= $\pounds 23.40$

Step-by-step explanation:

The basic plan of Jo's mobile phone costs $\pounds 16$ which includes

150 free minutes and 13p for each additional minute

150 free texts and 15p for each text

Since Jo made 170 minutes of calls, she exceeded the free minutes and had to pay

170 - 150 = 20 additional minutes, worth 13*20/100= $\pounds 2.60$

She also sent 182 texts, 182 - 150 = 32 in excess, worth $\pounds 15*32/100 = \pounds 4.80$

So the total charge for the month was $\pounds 16 + \pounds 2.60 + \pounds 4.80 = \pounds 23.40$

Total charge= $\pounds 23.40$

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Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Lostsunrise [7]

Answer:

The correct options, rearranged, are:

Options:

$A)(a^2+ab+b^2)/(a-b)\\\\B)(a^2-ab+b^2)/(a+b)\\\\C)(a^3+0a^2+0ab^2-b^3)/(a+b))\\\\ D)(a^3+0a^2+0ab^2-b^3)/(a-b)$

And the asnwer is the last option (D).

Explanation:

You need to find which long division can be used to prove the formula for factoring the difference of two perfect cubes.

The difference of two perfect cubes may be represented by:

$a^3-b^3$

And it is, as a very well known special case:

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

Then, to prove, it you must divide the left side, $a^3-b^3$ , by the first factor of the right side, $a-b$

Note that, to preserve the places of each term, you can write:

$(a^3-b^3)=(a^3+0a^2+0ab^2-b^3)$

Then, you have:

$(a^3+0a^2+0ab^2-b^3)=(a-b)(a^2+ab+b^2)$

By the division property of equality, you can divide both sides by the same factor, which in this case will be the binomial, and you get:

$(a^3+0a^2+0ab^2-b^3)/(a-b)=(a^2+ab+b^2)$

That is the last option (D).

3 0

3 years ago

Read 2 more answers

A^4 b^2÷4a^3 b^-2<br><img src="https://tex.z-dn.net/?f=%20%20%7Ba%7D%5E%7B4%7D%20%7Bb%7D%5E%7B2%7D%20%20%5Cdiv%204%20%7Ba%7D%5E%

hichkok12 [17]

A^7 /4
That is the simplification

7 0

2 years ago

Jake received a student loan for $12,000 he plans on paying off the loan five years at the end of five years Jake will have paid

maxonik [38]

There is a formula for this, I attached an image

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4 years ago

1. Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2 y= 2. Find the equation of

tamaranim1 [39]

Answer:

Step-by-step explanation:

1) Parallel lines have same slope

y = 3x + 2

m = 3

(2, -4) ; m = 3

equation: y - y1 = m (x - x1)

y - [-4] = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 6 - 4

y = 3x - 10

2) y = 18x + 2

m1 = 18

Slope the line perpendicular to y = 18x + 2, m2 = -1/m1 = -1/18

m2 = -1/18

(1 , -5)

$y-[-5]=\frac{-1/18}(x-1)\\\\y+5=\frac{-1}{18}x + \frac{1}{18}\\\\y=\frac{-1}{18}x+\frac{1}{18}-5\\\\y=\frac{-1}{18}x+\frac{1}{18}-\frac{5*18}{1*18}\\\\y=\frac{-1}{18}x+\frac{1}{18}-\frac{90}{18}\\\\y=\frac{-1}{18}x-\frac{89}{18}\\\\$

3 0

3 years ago

Q6. NON-CALCULATOR<br> x + 2/3x +<br> x-2/2x =3

Mashutka [201]

in file

Step-by-step explanation:

7 0

2 years ago