Math skills
solve a one-step equation
6. the mass of a mineral is 9.6 g. the
mineral is placed in a graduated cylinder
containing 8.0 ml of water. the water
level rises to 16.0 ml. what is the min-
eral's density?
bre

as I read it, the cylinder's level went from 8.0mL to 16.0mL, namely it went up by 8mL, so the 9.6 grams mineral displaced 8mL, thus it density is simply 9.6/8.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.