Answer:
Step-by-step explanation:
When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).
<h3>Boundary line</h3>
The boundary line of the solution set of an inequality will be solid if the line is <em>included</em> in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.
The boundary line of the solution set will be dashed if the line is <em>not included </em>in the solution. The corresponding inequality symbols are < or >.
<h3>Shading</h3>
The shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).
For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.
Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.
<h3>Application</h3>
In the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.
The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...
These forms match choice C:
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em>
<em>G</em><em>ood</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
<em>~</em><em>p</em><em>r</em><em>a</em><em>g</em><em>y</em><em>a</em>
Answer:
B
Step-by-step explanation:
107 and y form a straight angle and are supplementary, thus
107 + y = 180 ( subtract 107 from both sides )
y = 73
The sum of the interior angles of a quadrilateral = 360°
Sum the given angles and equate to 360
117 + 79 + 73 + x = 360, that is
269 + x = 360 ( subtract 269 from both sides )
x = 91
Thus x = 91, y = 73 → B
Answer:
1. The correct option B.
2.The correct option A.
Step-by-step explanation:
The given function is
Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.
Quadratic formula:
Using the quadratic formula we get
Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.
Therefore the correct option is B.
2.
The given equation is
.... (1)
The standard form of parabola is
.... (2)
Where, a is constant and (h,k) is vertex.
On comparing (1) and (2), we get
Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).
Put x=0 in the given equation.
Therefore the y-intercept is (0,2) and option A is correct.
