ᗯITᕼ ᗯᕼᗩT 234567889666$OK
Answer:
x²y²z is the Greatest Common Factor
Therefore,
6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)
Step-by-step explanation:
Given the expression
6x³y²z⁴ - 7x²y⁵z
The first step is to factor out the greatest common factor from each term
6x³y²z⁴ = 2 · 3 · 6 · x · x · x· y · y · z · z · z · z
7x²y⁵z = 7 · x · x · y · y · y· y · y · z
So
G.C.F = x · x . y · y . z
G.C.F = x²y²z
Thus, x²y²z is the Greatest Common Factor
Therefore,
6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)
Answer:
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Step-by-step explanation:
There are 20 boys in the class. The ratio is 4:3 so that means 4 out of 7 are boys and 3 out of 7 are girls. Divide 35 by 7 and you get 5. 5 times 4 is 20. 5 times 3 is 15. add them together and you have 35 students in total. So 20 students are boys and 15 students are girls.
Answer:
B
Step-by-step explanation:
The red graph is a horizontal translation of 5 units left, followed by a reflection in the x- axis, of the black graph.
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here the graph is shifted 5 units to the left, thus
f(x) → f(x + 5)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinate of the image is the negative of the original
Note that 
= - y, thus
The equation of the red graph is
= f(x + 5) → B
