To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. if the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win? a. |x – 645| = 20; maximum guess: 655 beans. b. |x – 645| = 20; maximum guess: 665 beans. c. |x – 20| = 645; maximum guess: 655 beans. d. |x – 20| = 645; maximum guess: 665 beans

|x-645|=20; the maximum guess is 665.

Therefore, Option b is correct.

Step-by-step explanation:

We have given the information that the jar has to be guessed within 20

So, the total has to be equal to 20

Hence, the equation |x-645|=20 is the required equation to calculate the minimum and maximum number of beans that will win the contest

When we will remove the modulus we will get two values + and -

So, x=20+645=665

And x=20-645= -625

Hence, the maximum guess is 665.

Therefore, Option b is correct.

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.

d

step-by-step explanation:

i used the pitagoras theoreme