Answer:
p >5 or p <-8
Step-by-step explanation:
-6+|2p+3|>7
Add 6 to each side
-6+6+|2p+3|>7+6
|2p+3|>13
We get a positive and negative solution
2p +3 > 13 and 2p +3 < -13
Subtract 3 from each side
2p +3 -3> 13-3 or 2p +3-3 < -13-3
2p > 10 2p < -16
Divide by 2
2p/2 > 10/2 2p/2 <-16/2
p >5 or p <-8
Answer:
y = 2x - 3
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 )
Here m = 2, thus
y = 2x + c ← is the partial equation of the line
To find c substitute (2, 1) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = 2x - 3 ← equation of line
The x - intercept of 5x - 3y = 15 is (3, 0)
The y -intercept of 5x - 3y = 15 is (0, -5)
<h3><u>Solution:</u></h3>
Given equation is 5x - 3y = 15
<em><u>To find: x - intercept and y -intercept</u></em>
The x intercept is the point where the line crosses the x axis. At this point y = 0
The y intercept is the point where the line crosses the y axis. At this point x = 0.
<em><u>Finding x - intercept:</u></em>
To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x
So put y = 0 in given equation
5x - 3(0) = 15
5x = 15
x = 3
So the x - intercept is (3, 0)
<em><u>Finding y - intercept:</u></em>
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y
So put x = 0 in given equation
5(0) - 3y = 15
-3y = 15
y = -5
So the y - intercept is (0, -5)
Answer:
Bus 1 is traveling faster.
Step-by-step explanation:
The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.
Hope it helps!
Answer:
$27.75
Step-by-step explanation:
Multiply $2.25 by 11 to get the answer
