Linear Equation
A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2x = 6, x can only be 3.
Linear Inequalities
A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus
For the equation:
-1=5 x^2 - 2 x
5 x^2 - 2 x + 1 = 0, then we substitute: a=5, b=-2, c =1
to discriminant formula: D= b^2 - 4 a c = (-2)^2 - 4 * 5 * 1 = 4 - 20 = - 16
Answer:
The discriminant is equal to -16 which means the equation has no real number solutions.
Answer:
What is the question?
Step-by-step explanation:
Answer:
3. 11 (B)
6. (-2, 18) (D)
8. I see the answer choices now, it would be A.
I don't see any answer options, but anything that goes along the lines of the points form a line, it has a direct relationship, it is linear, etc.
Step-by-step explanation:
3. You are given the expression 6x^2 - 13 and told to evaluate it at x = 2
this yields 6(2)^2 -13 which is 24-13 = 11.
6. You are given the equation y = -9x and 4 choices for ordered pairs. Best way to do this is to plug in the values and see which one works. (But if you want to do this quick you realize that the since you are multiplying one of the values by a -9 this means that the signs of the ordered pair has to be opposite and that only occurs in D (-2, 18) Plug it in and it works.
8. Each time you pay for the meter, it costs $1 or 4 quarters. And you pay per hour. Therefore if the x - axis is time (hours) and the y axis was the number of quarters, you can see that for 1 hour you pay 4 quarters, 2 hours you pay 8 quarters, 3 hours you pay 12 quarters, etc.
You can connect the dots on the graph and you can see that it is linear, you can also verify this by finding the slope between each point and find that the slope (change in y / change in x) is all the same.
Multiply the amount with the discount
95 x 0.15 = 14.25
Since it is discount, subtract $14.25 from the total amount: $95
95 - 14.25 = $80.75
B) $80.75 is your answer
hope this helps
