Which number line shows the solution of -4x+ 6> 18?
1 answer:
Consider the below figure attached with this question.
Given:
To find:
The number of line that represents the solution of given inequality.
Solution:
We have,
Subtracting 6 from both sides, we get
If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.
Divide both sides by -4.
The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.
So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.
Therefore, the correct option is A.
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Answer:
The answer is below
Step-by-step explanation:
1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price. The store charges sales tax 6.5% on all sales. Write a function p(x) that represents the price after a 15% discount. Write a function t(x) that represents the total cost with sales tax. Write a composition of functions that represents the total cost of a riding lawn mower on sale. How much will Mr. Rivera pay for a riding lawn mower that has a marked price of $3000?
Solution:
a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:
p(x) =
b) If x = discounted price and t(x) = total cost with sales tax, then:
t(x) =
c) Let t(x) represents the total cost with sales tax