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Kryger [21]
2 years ago
9

Please solve by factorising

Mathematics
2 answers:
34kurt2 years ago
7 0

Answer:

3/4 or 5

Step-by-step explanation:

Use the quadratic formula

Dmitry_Shevchenko [17]2 years ago
5 0

Answer:

x = \frac{3}{4} , x = 5

Step-by-step explanation:

4x² - 23x + 15 = 0

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

product = 4 × 15 = 60 and sum = - 23

The factors are - 20 and - 3

Use these factors to split the x- term

4x² - 20x - 3x + 15 = 0 ( factor the first/second and third/fourth terms )

4x(x - 5) - 3(x - 5) = 0 ← factor out (x - 5) from each term

(x - 5)(4x - 3) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

4x - 3 = 0 ⇒ 4x = 3 ⇒ x = \frac{3}{4}

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Answer: $7800 was invested at 9%

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Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

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y = 12.39/0.0021

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x = 702/0.09

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