Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>First Degree Equations</u>
A first-degree equation can have one, none, or infinitely many solutions.
An equation like
2x + 3 = -x + 6
Has one solution: x=1
An equation like:
4x + 2 = 4x + 1
Has no solutions because when trying to solve for x we get:
2 = 1
This equality is false and no value of x can make it true
Finally, the equation:
3x + 2 = x + 2x + 2
Has infiniteyl many solutions, because when trying to solve it, we get:
2 = 2
Which is true regardless of the value of x
- The first given equation:
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation not having solutions, we should have 8x plus any number but 9 on the right side of the equation:
8x + 9 = 8x -3, or
8x + 9 = 8x + 4
- The second given equation:
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
If the equation has one solution, the only condition is that we should not have 8x on the right side. Thus any of those will do:
8x + 9 = 3x + 9
8x + 9 = -x + 5
8x + 9 = 0
3x + 9 + 4x + x = ??
can be simplified as:
8x + 9 = ??
For this equation to have infinitely many solutions, the right side must be exactly equal to the left side:
8x + 9 = 8x + 9
(2/5)x=45, multiply both sides by 5, 2x=225, divide both sides by 2, x=225/2 minutes to read the whole book.
Answer:
x(15) = 21 lb
Step-by-step explanation:
Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing
dV/dt = 4 - 2 =2gal/min
So, the equation for volume at cetain time t at given conditions and values becomes,
V(t) = 2t + V
V(t) = 2t + 20 gal-------------------euqation (1)
Rate of change in amount of salt = rate of salt in - rate of salt out
dx/dt = {0.5*4} - {[x(t)/V(t)]*2}
dx/dt = 2-2[(x(t))/(2t+20)]
dx/dt = 2-[(x(t))/(v(t))] lb/min
Now, with integrating factor, we get
exp[∫(1/(1+10))dt)] = t+10
the equation becomes
(t + 10)*x' + x = 2*(t+10)
((t+10)*x') = 2*(t+10)
(t+10)*x = t² + 20t + C
As x(0) = 0,
x(t) = (t²+20t)/(t+10)
x(15) = (15²+20*15)/(15+10)
x(15) = 21 lb
The midpoint is (5, ¹/₂).
<h3>
Further explanation</h3>
The midpoint is the coordinates of a point right in the middle of a line segment or two endpoints.
The Midpoint Formula
So, abscissa and ordinate of the midpoint are the averages of both endpoints. i.e., (x₁, y₁) and (x₂, y₂).
Given (x₁, y₁) = (5, 4) and (x₂, y₂) = (5, -3).
Let's calculate the midpoint.
We get the midpoint between the two endpoints, that is, (5, ¹ / ₂).
<h3>Learn more</h3>
- Finding a line that is not parallel to either the x-axis or the y-axis and passes through a point brainly.com/question/4691222
- Finding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point brainly.com/question/1473992
- A line segment is a piece of a line with two endpoints brainly.com/question/909890
Keywords: the midpoint, the line segment, endpoints, in the middle, between, average, abscissa and ordinate, the coordinates
3 the answer is 3 because if you move 7 units over you get 3