9. you go to a local mechanic to get your tires changed. there is a 6% sales tax, but you get a 10% discount. a. write a function, t(x) for the total purchase amount after taxes but before discounts and fees. b. write a function, d(x) to account for the total after discounts on purchase amount x. c. does it matter whether the mechanic adds the tax first or takes the discount first? show all your work to verify.

Step-by-step explanation:

a)

t(x) = x*(1 + 0.06)

b)

d(x) = x*(1 + 0.06)*(1 - 0.1)

c)

It doesn't matter because a * b = b * a

So x*(1 + 0.06)*(1 - 0.1) will be the same as xx*(1 + 0.06)*(1 - 0.1)*(1 + 0.06).

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.