Question:
Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2
Answer:
Part a: 
Part b: 
Part c:
Part d:
Explanation:
Part a: Substituting 
, we get,
The value of 
is less than 
Thus,
Part b: Substituting 
, we get,
The value of and are equal.
Thus,
Part c: Substituting 
, we get,
The value of is less than
Thus,
Part d: Substituting 
, we get,
The value of is less than
Thus,
Answer:
-3/2
(2x-14)/3
(-2,-6)
Step-by-step explanation:
I solved the first one for you already ( -3/2)
To make a line perpindicular to another line they need to intersect at a 90 degree angle. To do this the slope of the lines have to be the negative reciprical (take the fraction, flip it, and apply a negative sign to it)
If you do this to -3/2 you get 2/3
If we follow our y=mx+b equation from before we (so far) have
2/3x+b=y
which means that we just need to solve for b
We also know that it crosses the point (7,0) which means that if we plug in 7 for x and 0 for y we can solve for b
we have
(2/3)*7+b=0
Solve for B
14/3+b=0
b= -14/3
Which means our equation looks like this
(2x-14)/3
our two equations look like this
(-3/2)x-9
(2x-14)/3
We need to find where their coordinates are the same (where they intersect)
We can do this by setting them equal to each other and then solving for x
we have
(-3/2)x-9=(2x-14)/3
solve for x
-4.5x-27=2x-14
-13= 6.5x
x= -2
Now that we know what x equals we can plug this into any of our two beginning equations
(-3/2)*-2-9=y
3-9=y
-6=y
Which means our coordinates are (-2,-6)
if you have any questions let me know
Answer:675
Step-by-step explanation:
For questions like these, what I like to do is plug in multiple points and see where they end up. I prefer simplicity, so I'll plug in a simple point -- x=3. If a or c was our graph, our y point would be at 3. As it is not, our options are left at b and d. For a square root, we know that 4 has a relatively simple square root, as its root is 2. To get 4 inside the square root box, x+3 must be equal to 4, so x=1. Plugging x=1 into both b and d, we get 2+3=5 and something else for d. Since y is not equal to 5 when x=1, b is incorrect and d is our answer. To ensure this, we could plug in a point for d. As we know that the cube root of 8 is 2, we could make sure that we have 8 inside the cube root box by making x equal to 5, and our y value would then be 2+3=5. As y=5 when x=5, these match up and d is our answer.
Feel free to ask further questions, and Happy Holidays!
Answer should be -4
since there is no other context, we can assume that x is -4.
