Simplify math equations
1) -13.5a + 34.12b + 65.5a - 32.5b - 35.8a

a) 32.5a + 20.47b
b) 16.2a + 1.62b
c) -18.7a - 26b
d)1.62a + 16.2b

2) 4.2 (3.9r - 5.9s) + 7.9s - 9.53r

a) 16.88r + 6.85s
b) 10.82r + 31.15s
c) 10.82r - 31.15s
d) 6.85r - 16.88s

3) 7p + 20 - 13q - 4q - 18 + 6p

a) 13p + 17q - 2
b) 13p - 17q + 2
c) 3q + 38
d) 3q - 6

4) -15 + 23r + 9r^2 - 16r + 10

a) 9r^ - 10 - 7r
b) 16r^2 - 5
c) 9r^2 - 7r^2 - 5
d) 9r^2 + 7r - 5

5) 5x (3 - 12x) - 3 (4 - 20x^2)

a) 15x - 12
b)15x^2 - 60x
c)60x^2 - 15x
d) 15x^2 - 12x

6) 2/3 × - 4/6 + × + y

a) 5/3x + 5/9y
b) 5/9x + 5/3y
c) 3/5x + 9/5y
d)9/5x + 3/5y

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

rauschg · hand

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step-by-step explanation:

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)

so

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.