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Daniel [21]
3 years ago
11

The difference between a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

-4

Step-by-step explanation:

x-6=5(x+2)

x-6=5x+10

-6=4x+10

-16=4x

-4=x

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Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
How do you calculate 3x-9y?
Illusion [34]

Answer: 3(x-3y)

Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)

7 0
2 years ago
1) Miguel has a gift card to an electronics store. He has $ 150 on the card. He purchased a DVD for $ 20 and some games for $12.
GrogVix [38]

Answer:

9 games

Step-by-step explanation:

If he purchase 1 game, he spent $12.50. If he purchased 2 games, he spent 2(12.50) = $25.

This means he spent 12.5x for x number of games.

His total spending will be 12.5x + 20. He has $17.50 left on the card from $150.

150 - (12.5x + 20) = 17.5

150 - 12.5x -20 = 17.5

130 - 12.5x = 17.5

-12.5x =  17.5 - 130

-12.5x = -112.5

x = 9

8 0
3 years ago
Which statement is the most appropriate comparison of the spreads?
babunello [35]

Answer:

D  The IQR for town A is less than the IQR for town B

Step-by-step explanation:

A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)

8 0
3 years ago
Look at this graph:
Ray Of Light [21]
You could try using photo math
7 0
3 years ago
Read 2 more answers
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