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3 years ago

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Mathematics

2 answers:

Solnce55 [7]3 years ago

8 0

Answer:

The common facor is x-3.

Step-by-step explanation:

The first expression can be factored with a difference of squares, x+3 and x-3. You can check that by multiplying them together to get x²-9. Knowing that you need a common factor, one that works for both expressions, you can immediately eliminate A and B. The second expression, x²-5x+6, has to share one of these two factors. To factor this, you find the numbers that multiply to the c term and add to the b term. (Ax²+bx+c) so b is -5 and c is 6. All you have to do is find out which two numbers add to -5 and multiply to 6. You start with factors of 6, which are +-6 and +-1, and +-3 and +-2. Say you try 6 and 1 first. The b term is negative, so these two added have to add to a negative number, which means positive 6 and positive 1 won´t work. The only way to add to -5 is to add 1 to -6 or -6 to 1, but multiplying those together gives you -6, and you need positive 6 in the c term. That leaves you with -2 and -3. they add to -5, and multiply to -6, which means that your common term is x-3. Test this by expanding your result, (x-2)(x-3), if you get the original expression theyre both factors.

EleoNora [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Both equations use x squared

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Jason volunteered at the pet shelter twice as many times as keith. Noah volunteered three times more often than jason. Keith vol

Alchen [17]

Answer:

$y = 6\cdot z$

$y$ - Number of times that Noah volunteered at pet shelter.

$z$ - Number of times that Keith volunteered at pet shelter.

Step-by-step explanation:

After reading the statement of the problem, the following variables are described below:

$x$ - Number of times that Jason volunteered at pet shelter.

$y$ - Number of times that Noah volunteered at pet shelter.

$z$ - Number of times that Keith volunteered at pet shelter.

The following two relations are presented herein:

Noah and Jason

$y = 3\cdot x$

Jason and Keith

$x = 2\cdot z$

The relationship between the number of times Noah and Keith volunteered is:

$y = 6\cdot z$

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3 years ago

Solve:<br> (a+b+c) (a+b-c)

Katen [24]

Answer:

Step-by-step explanation:

Solve:

(a+b+c) (a+b-c)=

(a²+ab-ac+ab+b²-bc+ac+bc-c²)=

a²+ab-ac+ab+b²-bc+ac+bc-c²=

a²+2ab+0ac+b²+0bc-c²=

a²+2ab+b²-c²

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3 years ago

Read 2 more answers

Two rectangles are similar. The length and width of the first rectangle are 12

Masja [62]

Answer:

scale factor = 1.2

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.

scale factor = $\frac{14.4}{12}$ = $\frac{6}{5}$ = 1.2