There is an infinite number of values that are in both the domain and range.
Answer:
D
Step-by-step explanation:
to determine the relationship between these two lines you have to find the slope.
=> if they have the same slope ,then they are parallel.
=> if they have negative inverse slope relative to each other ,then they are perpendicular.
=> if the slope for both equations is neither of the above cases ,then the two equations are neither parallel nor perpendicular.
so if we divide the first equation by 3 which is the commen factor for the whole equation and arrange it in the form y=mx +b it would give us y =5x +4. and since the two have the same slope which is 5 ,then we can conclude they are <u>parallel lines.</u>
The key feature of the functions that are needed to determine if the lines intersect are;
- The slope; rate of change
- The y-intercept
<h2>
Slope and y-intercept</h2>
From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.
On this note, for the functions described in the question, the functions only intersect when the slopes are different.
Additionally, the functions may intersect in the event of having equal y-intercepts.
In order two straight lines in a coordinate plane intersect, they MUST have different slopes.
This condition is NECESSARY and SUFFICIENT.
The final temperature is the sum of the initial temperature and the change in temperature. The initial temperature is 102°F. The change in temperature is -3°F.
Operation:
Tf = Ti + ΔT = 102°F + (-3°F) = (102 - 3)°F = 99°F
Answer:
-6
Step-by-step explanation:
This is similar to collecting like terms in Algebra, that is
- 2x - 7x + 3x = x(- 2 - 7 + 3) = - 6x
Similarly
-2
- 7
+ 3
=
(- 2 - 7 + 3) = - 6