Hi there!
24. 6x² + 19x + 3
1 3 multiply 6 × 3 = 18
6 1 multiply 1 × 1 = 1
18 + 1 = 19
(x + 3)(6x + 1)
I just simply found the two factors of 6 and 3 that can add up to 19.
This way is useful when the a and c don't have much factors.
27. 5y² + 13y + 6
1 2 5 × 2 = 10
5 3 1 × 3 = 3
10 + 3 = 13
(x + 2)(5x + 3)
30. 16x² + 16x + 3
For this one, 16 has a lot of factors. So you can try "Grouping" method.
You multiply 16 and 3. 16 × 3 =48
Find the factors of 48 that can add up to 16.
Hmm.. 12 and 4 would be great.
Then rewrite the equation.
16x² + 12x + 4x + 3
We would factor 16x² + 12x and 4x + 3 separately.
16x² + 12x 4x + 3 can't be factored more.
4x(4x + 3) 1(4x + 3)
(4x + 1)(4x + 3)
So your answers are....
24. (x + 3)(6x + 1)
27. (x + 2)(5x + 3)
30. (4x + 1)(4x + 3)
Hope this helped!!
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According to the table ;

Let's check that in which of the equations it happens.
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A )




Wrong
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B )




Correct.
Thus this option is the correct answer.
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C )
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</em>
<em>
</em>
<em>
</em>
<em>
</em>
Wrong
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Answer:
The answer to your question is:
12) C
13) AT = 29
Step-by-step explanation:
12)
Data
A (6, -3)
B (-6, 19)
midx = (x1 + x2) / 2 midy = (y1 ´y2) / 2
midx = ( 6 - 6) / 2 midy = (-3 + 19) / 2
midx = 0 / 2 midy = 16 / 2
midx = 0 midy = 8
mid point = (0, 8)
13)
As A is the midpoint of CT then CA = AT
2x - 19 = x + 5
2x - x = 19 + 5
x = 24
AT = 24 + 5
AT = 29
Answer:
a. .15 b. 5.40
Step-by-step explanation:
Hi! The first thing you want to do is find the unit rate, which would be 9 divided by 60. This should be 15 cents per hour. Next, for the second part, you multiply by 36, which should be $5.40. Hope this helps!
2+9=11
5+88= 93
please let me know if you need me to explain your just adding!