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irakobra [83]
3 years ago
7

Factorise the following:

"{3x}^{2} + 5x - 12" alt="{3x}^{2} + 5x - 12" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

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Which is an equation of a line parallel to -2/3x + 1/5y = 4
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Answer:

y = 3.3x + 20

Step-by-step explanation:

-2/3x +1/5y = 4   y = mx + b

-2/3x + 1/5y = 4

-2/3                -2/3

1/5y = 2/3 + 4

1/5  / 2/3 = 3.3

1/5 / 4 = 20

y = 3.3x + 20

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Answer:

Step-by-step explanation:

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3 years ago
2(b+3c) equivalent expressions<br>Options: <br><br>3(b+2c)<br>(b+3c) +(b+3c)<br>None of the above
Lana71 [14]
2(b + 3c) → We first need to simplify this.

Simplify.

2b + 6c

1st Option : 

3(b + 2c)

Simplify.

3b + 6c

This is INCORRECT, as it is not equal to 2b + 6c.

2nd Option :

(b + 3c) + (b + 3c)

Simplify.

2b + 6c

This is CORRECT because 2b+6c = 2b+6c

(b + 3c) + (b + 3c)  → Answer

~Hope I helped!~



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2 years ago
Does anyone know what the inverse function of f(x)=x/x-2 is?
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Answer:

-1 is the answer to that

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3 years ago
Solve the following inequality for s. Write your answer in simplest form.
Doss [256]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) <  - 4s + 3 - 8

\qquad \sf  \dashrightarrow \: - 10 + 5(86) <  - 4s  - 5

\qquad \sf  \dashrightarrow \: - 10 +430 <  - 4s  - 5

\qquad \sf  \dashrightarrow \: 420 + 5 <  - 4s

\qquad \sf  \dashrightarrow \: 42 5 <  - 4s

\qquad \sf  \dashrightarrow \: 42 5 \div 4 <   - s

\qquad \sf  \dashrightarrow \: 106.25 <   - s

Inequalities change when it is multiplied by -ve number

\qquad \sf  \dashrightarrow \:  - 106.25  >    s

3 0
1 year ago
Read 2 more answers
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