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stealth61 [152]
3 years ago
6

Factor the Expression 6x^2-x-12 Show steps so I can understand it.

Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer & Step-by-step explanation:

For a polynomial of the form ax^{2}+bx+c , rewrite the middle term as a sum of two terms whose product is a×c=6×−12=−72        and whose sum is b=−1.

Factor −1 out of −x.

6x^{2}−(x)−12

Rewrite −1 as −9 plus 8

6x^{2}+(−9+8)x−12

Apply the distributive property.

6x^{2}−9x+8x−12

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(6x^{2}-9x)+8x−12

Factor out the greatest common factor (GCF) from each group.

3x ( 2 x − 3 ) + 4 ( 2 x − 3 )

Factor the polynomial by factoring out the greatest common factor,  2 x − 3 .

(2x−3)(3x+4)

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Please help with i am all ready late to turn it in
nekit [7.7K]

Answer:

1.-113

2.62

Step-by-step explanation:

1.-9^2+3(-9)-5

-81+-27-5

-113

2.5(7-(-9))+2(-9)

5*16-18

80-18

62

4 0
3 years ago
Find the area of the shaded region.<br> help pls
umka2103 [35]

Answer:

1. 50 m

2. 80 cm

Step-by-step explanation:

1. There are 2 triangles, subtract the area of 1 of them from the other.

The triangle that needs to be subtracted: b = 20 m, h = 10 m

A = 1/2b * h = 1/2(20) * 10 = 10*10 = 100 m

The big triangle, the one that needs to be subtracted plus the one you need to find the area of: b = 20 cm, h = 15 cm, 1/2(20) * 15 = 10 * 15 = 150

150 - 100 = 50 c

2. Divide it into 3 parts:

1- 3*4 = 12

2. 7*(4 + 4) = 7*8 = 56

3. [(4 + 4) * (13 - 7 - 3)]/2 = (8*3)/2 = 24/2 = 12

12 + 56 + 12 = 80 cm

7 0
3 years ago
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 10 Allen's hummingb
ruslelena [56]

Answer: provided in the explanation segment

Step-by-step explanation:

(a). from the question, we can see that since that б is known, we can use standard normal, z.

we are asked to find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error?

⇒ 80% confidence interval for the average weight of Allen's hummingbirds is given thus;

x ± z * б / √m

which is

3.15 ± 1.28 * 0.32/√10

= 3.15 ± 0.1295 = 3.0205 or 3.2795

(b). normal distribution of weight (c) б is known

(c). option (a) and (e) are correct

(d).  from the question, let sample size be given as S

this gives';

1.28 * 0.32/√S = 0.15

√S = (1.28 * 0.32) / 0.15 = 2.73

S = 7.4529

cheers i hope this helps

6 0
3 years ago
Nidhi is allowed to watch 2.5 hours of TV on Saturday If her favorite Tv show lasts for 24 minutes each, how many full episodes
bekas [8.4K]

Answer:

6 full episodes

Step-by-step explanation:

You will need to convert 2.5 hours to minutes and divide by 24. Round to the nearest whole number.

4 0
2 years ago
Find the point that lies on the line described by the equation below. y - 8 = - 3 (x-6)​
ohaa [14]

Answer:

B. (6, 8)

Step-by-step explanation:

To figure this out, you can plug in the coordinates to see if you get matching answers. Since you believe answer "B," is correct, we can check:

y - 8 = -3(x - 6)

8 - 8 = -3(6 - 6)

0 = -3(0)

0 = 0

<u>Since the answers match, that makes answer "B," correct.</u>

4 0
3 years ago
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