L=7+W
area=30=LW
so subsitute 7+W for length
30=(7+W)(W)
30=W²+7W
minus 30 both sides
0=W²+7W-30
factor
what 2 numbers multiply to get -30 and add to get 7
-3 and 10
0=(W-3)(W+10)
set to zero
0=W-3
3=W
0=W+10
-10=W
false, can't have a negative width
width=3in
L=7+W
L=7+3
L=10
the length is 10in
the width is 3in
Answer:
x < 1
Step-by-step explanation:
x - 4 < - 3
+ 4 +4 Do inverse operations by adding 4 on both sides
x < 1
Therefore, the answer is x < 1.
(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)
<------------------------------o------------------>
-4 -3 -2 -1 0 1 2 3 4
The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).
Answer:
Step-by-step explanation:
We want to simplify:
We expand to get:
We expand further to get:
