Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Answer:
<em> (∞, 3]</em>
Step-by-step explanation:
Given the inequality 4x−1<11
We are to find the solution set;
4x−1<11
Add 1 to both sides
4x−1+1<11+1
4x < 12
Divide both sides by 4
4x/4 = 12/4
x < 3
<em>Hence the solution set of the inequality is (∞, 3]</em>
The Domain also known as the x value would be (-2,1,0,3)
22.86 metres
The two goal lines are 4.0 metres (13.1) from the end boards, and the blue lines are 22.86 metres (75.0 ft) from the end boards
Answer:

Step-by-step explanation:
we are given the zeros and a point where it goes through of a quadratic equation
remember that when the roots are given then the function should be

where a is the leading coefficient and x1 and x2 are the roots
substitute:

simplify:

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a
substitute:

simplify parentheses:

simplify multiplication:

divide both sides by -7:

altogether substitute:

since it want the equation y should be

recall quadratic equation standard form:

so simplify parentheses:

distribute:

hence,
the equation of the parabola in standard form is <u>2</u><u>x</u><u>²</u><u>+</u><u>4</u><u>x</u><u>-</u><u>3</u><u>0</u><u>=</u><u>0</u>