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KengaRu [80]
3 years ago
9

Factor the following polynomials by grouping: ax+ay+bx + by −cx−cy

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer:

(a + b -c) x (x +y )

Step-by-step explanation:

Firstly, factor out x from the expression

Then, factor out the y from the expression

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The table below represents the amount that Christian pays for cable service. Predict how much he will pay for 5 months of cable
Amiraneli [1.4K]
300 would be the answer
3 0
3 years ago
Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not
Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is,   3x - 12 = -4 - 2x  + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12  = -2x + 2x + 6

step 5:

5x - 12  = 6

step 6:  Add 12 to both-side of the equation

5x - 12 + 12  = 6 + 12

step 7

5x  = 18

Step 8: divide both-side of the equation by   5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

4 0
3 years ago
4x + y = 4
Aneli [31]

Answer:

if u substract the equations u get 4x = 1, therefore x = 1/4

Step-by-step explanation:

(8x + y) - (4x + y) = 5 - 4

4x = 1

x = 1/4

7 0
3 years ago
The diameter of a circle is a chord that _______ passes through the center of the circle.
SashulF [63]
The answer is A. Always.
The diameter of a circle is a line that goes from one side to the other hence passing through the center!
Hope this helped!
5 0
3 years ago
How many pennies could you have if: When you Break de Pennies into groups of 2, you have 1 penny left over, AND when you break t
MariettaO [177]

Answer:

The answer is 31 pennies

Step-by-step explanation:

we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.

The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:

1) factor: 5 (+1) = 6

6 ÷ 2 = 3 remainder 0

6 ÷ 3 = 2 remainder 0

since there is a remainder of 0, when divided by 3, 6 is wrong

2) factor; 10 (+1) = 11

11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer

3) factor : 15 (+1) = 16

16 ÷ 2 = 8 remainder 0 ( 16 is  not the correct answer

4) factor : 20(+1) = 21

21 ÷ 3 = 7 remainder 0 ( 21 is wrong)

5) factor : 25(+1) = 26

26 ÷ 2 = 13 remainder 0 ( 26 is wrong)

6) factor : 30(+1) = 31

31 ÷ 2 = 15 Remainder 1

31 ÷ 3 = 10 Remainder 1

31 ÷ 5 = 6 Remainder 1

since all three divisors give a remainder of 1, the correct answer is 31

Therefore you have 31 pwnnies

6 0
3 years ago
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