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2 years ago

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

Mathematics

2 answers:

Kisachek [45]2 years ago

8 0

Solving for x
6x^2 + 23x - 4 = 0
Factoring
(6x - 1)(x + 4) = 0
6x - 1 = 0 or x+ 4 = 0

X = 1/6 or x = -4

aleksklad [387]2 years ago

8 0

Answer:

B.) x = –4 or x = 1/6 .

Step-by-step explanation:

Given : g(x) = 6x² + 23x – 4.

To find : Solve.

Solution : We have given that

g(x) = 6x² + 23x – 4.

If g(x) = 0

6x² + 23x – 4 = 0 .

On factoring

6x² + 24x - 1x – 4 = 0

Taking common 6x from first two terms and -1 from last two terms.

6x ( x + 4 ) -1 (x + 4) = 0.

On grouping

(6x -1) ( x +4) = 0

For 6x -1 = 0

6x = 1

on dividing by 6

x = 1/6.

For x +4 = 0

On subtracting 4 from both sides

x = -4.

Therefore, B.) x = –4 or x = 1/6 .

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2 years ago

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3 years ago

Read 2 more answers

What is the answer and how do you solve 21x^3/3x^−1

Sunny_sXe [5.5K]

Answer:

as written: 7x^2

perhaps intended: 7x^4

Step-by-step explanation:

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21x^3/(3x^-1)

then the simplification is ...

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6 0

2 years ago

What is the volume of a rectangular prism with the dimensions: base 7 2 cm, height 3 2 cm, and length 9 2 cm?

noname [10]

Answer:

Step-by-step explanation:

first do 72times2,32times2,92times2, then add them all

5 0

2 years ago

Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now

Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

Solution:

Let the present age of Jane be "x"

Let the present age of her sister be "y"

Jane is 5 times older than her sister

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

In 3 years, Jane’s sister will be 1/4 her age

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

$3 + y = \frac{1}{4}(3 + x)$

Substitute eqn 1 in above equation

$3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9$

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0

3 years ago