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V125BC [204]
3 years ago
5

Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3 ​

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

your answer is correct

Step-by-step explanation:

4b² + 8b + 3

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 3 = 12 and sum = + 8

The factors are 2 and 6

Use these factors to split the b- term

4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )

= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term

= (2b + 1)(2b + 3)

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Answer:8x3/5=4.8

Step-by-step explanation:

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2 years ago
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Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on
Diano4ka-milaya [45]
X = pencils, y = pens

8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75

4x + 4y = 5
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8 0
3 years ago
Find the solution set to each inequality. Express the solution in set notation.
daser333 [38]

The solution to the inequality 6m + 2 > -27 is  m > -4.33

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The given inequality is:

6m  +  2  >  - 27

Subtract 2 to both sides of the inequality

6m  +  2 - 2  >  -27  -  2

6m   >  -29

Divide both sides by 6

\frac{6m}{6}> \frac{-29}{6}  \\m  > \frac{-29}{6}\\m > -4.83

For the inequality  8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p  -  48   >  4p  -  16

Collect like terms

8p  -  4p  >  -16  +  48

4p    >  32

Divide both sides of the inequality 4

\frac{4p}{4} > \frac{32}{4}\\p > 8

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

Learn more here: brainly.com/question/15816805

3 0
3 years ago
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3 years ago
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The image is located below
Ivan

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

7 0
3 years ago
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