Which expression results from using the distributive property to rewrite −9.1(−4)−9.1(12)?

a. 9.1(−4+12)

b. −9.1(−4+12)

c. 9.1(−4−12)

d. −9.1(4−12)

B. −9.1(−4+12)

They distribute to make − 9.1 (− 4) − 9.1 (12)

Distribution is to multiply one value each from the value outside the parentheses (from the left side)

Ex. 1 (x + y) = 1(x) + 1(y) = 1x + 1y = x + y

Choice B.  -9.1(-4+12)

Step-by-step explanation:

The distributive property in general is

a*(b+c) = a*b + a*c

In this case,

a = -9.1

b = -4

c = 12

So we have

a*(b+c) = a*b + a*c

-9.1*(-4+12) = -9.1(-4) + (-9.1)*(12)

-9.1(-4+12) = -9.1(-4) - 9.1(12)

side note: the -9.1 shows up twice so that is factored out as its a common factor. The stuff left over (the -4 and the 12) is then added up.

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step-by-step explanation:

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so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!