Select all the expressions that have a greatest common factor (GCF) of 3xy^2 with 42xy^4.
A. 6x^2y^2
B. 15xy^2z
C. 27x^3y^2
D. 9xy^3
E. 21xy^2

The expressions that have a greatest common factor (GCF) of 3xy² with 42xy⁴ is 15xy²z

The Greatest Common Factor is the highest number that divides exactly into two or more numbers with zero remainder.

42xy⁴ = 2 * 3 * 7 * x * y * y * y * y

6x²y² = 2 * 3 * x * x * y * y

15xy²z = 3 * 5 * x * y * y * z

27x³y² = 3 * 7 * x * x * x * y * y

9xy³ = 3 * 3 * x * y * y * y

21xy² = 3 * 7 * x * y * y

The expressions that have a greatest common factor (GCF) of 3xy² with 42xy⁴ is 15xy²z

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B and C

Step-by-step explanation:

GCF is the highest common factor of two or more expression.

The GCF of

The GCF of

The GCF of

The GCF of

The GCF of

Therefore

have a GCF of

with

Option B and C are correct

its a straight line parallel to the time axis

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: