A function is described by the equation f(x) = 2x + 3. The replacement set for the independent variable is (2,4,6,8). Which set is the corresponding set for the dependent variable?​

Write the values in the order shown. The curly braces indicate a set.

Explanation:

The replacement set for the independent variable is {2,4,6,8}

This means we'll plug x = 2, x = 4, x = 6, and x = 8 into the function one at a time to find the corresponding y = f(x) value.

Plug in x = 2 to find that,

f(x) = 2x+3

f(2) = 2*2+3 ... replace every x with 2

f(2) = 4+3

f(2) = 7

If the input is x = 2, then the output is y = 7. Therefore, the '2' in the domain corresponds to '7' in the range.

If you repeat those steps for x = 4, then you should find that f(4) = 11. Do the same thing for x = 6 and it should lead to y = 15. The last value in the range is y = 19 which corresponds to x = 8.

In short, the domain {2,4,6,8} corresponds to the range {7, 11, 15, 19}

Usually with sets, order doesn't matter. However, in this case, the order is important because we need to match the 2 with the 7, the 4 with the 11, etc.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: