A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent. The class has suggested four different methods. Which describes the correct method?
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1) c 2143.6 cm
2) c 113.0 m
3) a 33.5 ft
4) d 2 cm
5) c 20 mm
6) 180 in
7) d 120 ft
well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51
we are told that the revenue is
this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.
so in this case, we have a=−10 and b=4080, so the x-value of the vertex is
the largest number of the four options is 1.8 x 10-2
you have it in scientific notation.
1.80 x 10-6 = 0.00000180
1.80 x 10-4 = 0.000180 (bigger, or "less small", than the former one)
1.8 x 10-2 = 0.0180. as you see. the "less small", or the biggest one of them all.
as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).
if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:
1.8 x (10)2 = 180
so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.