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gladu [14]
3 years ago
15

Factor by grouping:

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0
The idea is to group up the terms into two groups, factor each group and then factor out the overall GCF

2x - 18 + xy - 9y
(2x - 18) + (xy - 9y)
2(x - 9) + (xy - 9y)
2(x - 9) + y(x - 9)
(2 + y)(x - 9)
(x - 9)(2 + y)

Answer: Choice B

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The first term of an arithmetic sequence is -5, and the tenth term is 13.
Nitella [24]

Answer:

The common difference is 2

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

a1 = -5

a10 = 13

Substituting n=10 a10=13 and a1 =-5

13 = -5 +d (10-1)

13 = -5 +9d

Add 5 to each side

13+5 = -5+5 +9d

18 = 9d

Divide each side by 9

18/9 = 9d/9

2 =d

7 0
3 years ago
Candace said I'm thinking of a fraction. If I divide it by 1/2,I get 3/11.what fraction was Candace thinking of??
Pavlova-9 [17]
Multiply back by 1/2, to get 3/22.
6 0
3 years ago
Read 2 more answers
If (x, y) = (3, 4) is a solution of the simultaneous equations.
Vinvika [58]
The first thing you want to do is plug in x and y into both equations:

a(3) + b(4) = 4

b(3) + a(4) = 8

rearrange to line up a’s and b’s

3a + 4b = 4

4a + 3b = 8

now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.

4(3a + 4b = 4) = 12a + 16b = 16

3(4a + 3b = 8) = 12a + 9b = 24


Now we subtract the bottom equation from the top and solve for b:

12a + 16b - (12a + 9b) = 16 - 24

7b = -8

b = -8/7


Now we plug back in for b to one of the original equations:

3a + 4(-8/7) = 4

3a + (-32/7) = 4

3a - (32/7) = 4

3a = 4 + (32/7)

3a = (28/7) + (32/7)

3a = 60/7

a = (60/7)/3 = 20/7.


Finally, plug a and b in together to double check using the second equation.

4a + 3b = 8

4(20/7) + 3(-8/7) = ?

(80/7) - (24/7) = ?

56/7 = 8.
4 0
2 years ago
If f(x)=-2x+9, then find the value of the x value that makes F(x)=-22
Lostsunrise [7]
-22 = -2x + 9
-31 = -2x
-31/-2 = x
x = 15.5 
5 0
3 years ago
How is a rational number converted to its decimal form?
luda_lava [24]

Answer:

Answer to first question is:

You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. If the fraction is a mixed number, change it to an improper fraction. Divide the numerator by the denominator. If the division doesn't come out evenly, round the decimal off.

Answer to second question is: 0.222222

Answer to third question is: Yes

Step-by-step explanation:

Well the way I think of it is:

3/9 as a fraction is 1/3... so 1 divided by 3 equals 0.333333 repeating. You can even write it as:

   _

0.3 with the fraction bar over it because it keeps repeating.

This goes for 2/9. All you have to do is do 2 divided by 9 and you get 0.222222 repeating. You can even write it as:

<h3>   _</h3>

0.2 with the fraction bar over it because it keeps repeating.

Hope this helps, have a good day. c;


3 0
3 years ago
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