Answer:
(-5, -3)
Step-by-step explanation:
To graph the two equations, you can look at two things, the slope and the y-intercept.
The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.
In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.
For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.
I've attached a graph below if you need it.
Answer:
The number of adult tickets are 33 and the number of student tickets are 21 .
Step-by-step explanation:
As
The number of adult tickets x and the number of student tickets y.
As given
A carnival sold tickets for $1.50 for adults and $1.00 for students.
There were 54 tickets sold for a total of $70.50.
Equations becomes
x + y = 54
1.50x + 1.00y = 54 × 70.50
Simplify the above

150x + 100y =7050
Two equations are
x + y = 54
150x + 100y =7050
Multiply x + y = 54 by 150 from 150x + 100y =7050
150x - 150x + 100y - 150y = 7050 - 8100
-50y = -1050
50y = 1050

y = 21
Putting the value of y in the equation .
x + 21 = 54
x = 54 - 21
x = 33
Therefore the number of adult tickets are 33 and the number of student tickets are 21 .
B I'm pretty sure since p is the unknown number.
Answer:
The answer to your question is 2 rational solutions.
Step-by-step explanation:
Equation
y = x² - 8x + 2
Solve using the general formula
x = [8 ± √(-8)² - 4(1)(2)] / 2(1)
Simplification
x = [8 ± √64 - 8] / 2
x = [8 ± √56] / 2
x = [8 ± 2√14]2
x₁ = 4 + √14 x₂ = 4 - √14
As √14 is positive, we conclude that the equation has two rational solutions.
Answer:
see explanation
Step-by-step explanation:
Using the chain rule
Given
y = f(g(x)), then
= f'(g(x)) × g'(x) ← chain rule
and the standard derivatives
(
x ) =
,
(lnx) = 
(a)
Given
y = 

=
×
(
=
×
×
(1 + x)
=
×
× 1
= 
=
(b)
Given
y = ln sinx
=
×
(sinx)
=
× cosx
= 
= cotx