Answer:
a) is TRUE
b) is FALSE
c) is TRUE
Step-by-step explanation:
Let's call the propositions
<em>P: Laura is in the seventh grade </em>
<em>Q: Laura got an A on the mathematics test </em>
<em>R:Sarah got an A on the mathematics test </em>
Then we have that the following propositions are true
P, Q v R (Q or R) and R---> ~P (if R then not P)
By watching at the truth table attached, we can see that the only row that satisfies all that conditions is the second one highlighted.
From there we can deduct that,
a) is TRUE
b) is FALSE
c) is TRUE
Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
The inequality that represents the graph in the box is
Given :
The graph of the linear inequality
Lets pick two points from the graph to frame the linear equation
Slope intercept form of the equation is
Where m is the slope and b is the y intercept
y intercept is (0,6) from the graph
so b=6
Now we find out slope m using formula
Pick two points (0,6) and (2,0)
m=-3
So the equation is
Now we check the inequality sign by testing any point on shaded area
lets pick (4,0)
lets plug in 4 for x and 0 for y
The inequality for the given graph is
we cannot use >= sign because we have dotted lines
Learn more : brainly.com/question/17203372