Which values of m and b will create a system of equations with no solution? Select two options.
1 answer:
Using linear function concepts, a system of equations with no solutions is created when:
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
- y = mx + b.
- y = -2x + 3/2.
Hence, for a system with no solution, we need that:
More can be learned about linear function concepts at brainly.com/question/24808124
#SPJ1
You might be interested in
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
Option (3).
Step-by-step explanation:
Attached figure is the graph of a function,
f(x) = -
Since domain of any function is the set of all possible input values of the function,
Therefore, Domain of the function is,
Domain : x ≤ 0 Or (-∞, 0]
And range of the function is the set of all possible output values (y-values) of the function.
Therefore, Range of the function will be,
Range : y ≤ 0 Or (-∞, 0]
Therefore, Domain and range of this function is same.
Option (3) will be the answer.