Answer:
B. y > 3x -7
Step-by-step explanation:
We can choose the correct inequality based on the y-intercept and the shading.
<h3>Y-intercept</h3>
The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.
<h3>Shading</h3>
The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...
y > ( ) . . . . eliminates choice A
and
x < ( ) or ( ) > x . . . . eliminates choice C, confirms choice B
The inequality that matches the graph is y > 3x -7.
__
<em>Additional comment</em>
For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a <em>positive coefficient</em>. If the coefficient is negative, you can do either of ...
- add the opposite of that variable term to both sides of the equation
- reverse the inequality symbol
That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.
Answer:
The change in elevation=2,400 feet
Step-by-step explanation:
The expression to determine the change in elevation after 6 minutes is a s follows;
D=S×T
where;
D=change in elevation in feet
S=speed/ descending rate
T=time
In our case;
D=unknown
S=400 feet/minute
T=6 minutes
replacing;
D=400×6=2,400 feet
The change in elevation=2,400 feet
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
Answer:
x=5.75 ; price of a single popcorn
y=2.25 ; price of a drink
system of equations
2*x+3*y= 18.25
4*x+2*y=27.50
Step-by-step explanation:
x= price of popcorn
y= price of drink
2*x+3*y= 18.25 ; this is information for Mohamed
4*x+2*y=27.50 ; this is informtion for miguel
solve an equation for y
2y=27.50-4x
y=13.75-2x
substitue into other equation
2*x+3(13.75-2x)=18.25
2*x+41.25-6x=18.25
-4x+41.25=18.25
-4x=-23
x=5.75 ; price of a single popcorn
swap x=5.75 into the other equation
4*5.75+2*y=27.50
2y=4.5
y=2.25 ; price of a drink
put back in to check work
2*5.75+3*2.25
11.5+6.75=18.25
Answer:
48
Step-by-step explanation:
To solve, multiply by 6:
2*6= 12
8*6= 48
Hope this helps!
