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

a.) x = –6 or x = 1/4

b.) x = –4 or x = 1/6

c.) x = -1/4 or x = 6

d.) x = -1/6 or x = 4

*the answer is b, but if there's anyone looking to earn brainliest, answer with a full explanation.*

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 .

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

multiply each one by 3.14

step-by-step explanation: