Usually, you create the inequality by casting the problem statement into mathematical terms. Then, solving the inequality can answer the question posed by the problem statement.
Example:
I want to carpet my 1600 ft² house, but I can only afford to spend $3000. Tax and installation costs are expected to add 20% to the total cost of the carpet. What price range of carpet should I be looking at in term of dollars per square yard?
Solution:
Let p represent the price per square yard of carpet. The problem statement tells me
(1600 ft²)×((1 yd)/(3 ft))²×p×(1 + 0.20) ≤ $3000 . . . . . created inequality
p×((1600×1.20)/9 yd²) ≤ $3000 . . . . . . . . . . . . . . . . . simplify left side
p ≤ $14.06/yd²
I can afford carpet that costs less than $14.06 per square yard.
Answer:
Here is a more clearer version of the same question ;
29 1.2. Constructing Direct Proofs 1. Let a, b, and c be real numbers with a 0. The solutions of the quadratic equation ax 2 + bx + c = 0 are given by the quadratic formula, which states that the solutions are xi and x2. where and x2 2a 2a (a) Prove that the sum of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to -b/a . (b) Prove that the product of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to c/a.
The proving of both a) and b) has been done
Step-by-step explanation:
The step by step explanation has been given in the attachment below.
Step-by-step explanation:
Answer: 16,17,18
Step-by-step explanation:
(x)+(x+1)+(x+2) = 51
x+x+x+1+2=51
3x+3=51
3x=51-3
3x=48
x=16
x+1 = 17
x+2= 18
Answer:
C = K − 273.15 !!!!!
Yes, Its the equation, since we do not have either varibles it is written out like so
Step-by-step explanation:
By simplifying both sides of the equation, then isolating the variable.
It's an expression that consists of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
example:
x2 − 4x + 7
