What is the greatest common monomial factor of this polynomial? 21x4y5z+28x2y4z4 Enter your answer in the box.
1 answer:
Answer:
Step-by-step explanation:
The greatest common factor of 21=7·3 and 28=7·4 is 7.
The greatest common factor of x^4 and x^2 is x^2 (the term with the smallest exponent).
The greatest common factor of y^5 and y^4 is y^4.
The greatest common factor of z and z^4 is z.
21x^4·y^5·z+28x^2·y^4·z^4 = 7x^2·y^4·z·(3x^2·y + 4z^3)
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9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are <em>identical</em>, so have infinitely many solutions.
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The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations <em>differ only in their constant</em>, so have no solutions.
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The third set is already written in slope-intercept form. The equations have <em>different slopes</em>, so have exactly one solution.
Answer:
y= (3/4) x - (3/2)
Step-by-step explanation:
3x - 4y = 6 (using algebra add the 4y to the other side & subtract the 6 to the other side >> 3x - 6 = 4y (then divide everything by 4 to get y by itself) >> 3/4x - 6/4 = y (then simplify) >> 3/4x - 3/2 = y
