No profit means P(x)=0: x³-4x²+3x-12=0
factor by regrouping: x²(x-4)+3(x-4)=0
take out (x-4): (x-4)(x²+3)=0
x=4 or x²=-3
x² is not a negative number, so x=4 is the only answer.

4 0

3 years ago

Read 2 more answers

A six-sided die is rolled. (Enter your probabilities as fractions.)

Ksivusya [100]

Answer:

Step-by-step explanation:

Family $E$

4 0

2 years ago

(17 points) <br> Determine if line AB is tangent to the circle

zlopas [31]

1. If AB is tangent to the circle, then

$18^2=(2\cdot7.2)^2+10.8^2$

We have

$18^2=324$

$(2\cdot7.2)^2+10.8^2=324$

so AB is indeed tangent to the circle.

2. The unlabeled leg is another radius of the circle so it has length 8. Then if AB is tangent to the circle,

$(10+8)^2=8^2+15^2$

but we have

$(10+8)^2=324$

$8^2+15^2=289$

so that cannot be a right triangle and AB is not tangent to the circle.

3 0

3 years ago