Part 1:
A and B are already in lowest terms
C 3/8
D 7/9
Part 2:
A 5 * 11
B 3 * 3 * 3
C 2 * 2 * 3 * 5
:)))
Answer:
In set-builder notation, the set of solutions is:
Step-by-step explanation:
Let's start by isolating the absolute value expression on one side of the inequality:
8 | u - 2 | - 7 < 33
add 7 on both sides:
8 | u - 2 | < 40
divide both sides by 8:
| u - 2 | < 5
Now, in order to remove the absolute value symbols, we need to consider two different cases:
1) what is inside the absolute value symbols is larger than or equal to zero, so in such case when we remove the absolute value we get exactly what was inside:
u - 2 < 5
u < 5 + 2
u < 7
Now the other case;
2) what is inside the absolute value is smaller than zero, then when removing the symbols we get:
2 - u < 5
2 - 5 < u
-3 < u
Then the set of solutions of this inequality are the set of u values such that u is larger than -3 (to the right of -3 on the number line, and smaller than 7 (to the left of the number 7 on the number line.
In graph form this should look like a highlighted segment on the number line that starts at -3 on the left, ends at 7 on the right, and doesn't include the endpoints -3 and 7.
in set builder notation, the set of solutions is given by:
Ah, great question. Let me help you on this one.
We need to balance both equations for this to work out. This is needed because question asks us for an x variable that will make both equations equal to each other.
Let's write it out so it's easier for us to understand.
Let's not forget to multiply both sides by 100.
Let's start by subtracting 45 from both sides.
Let's simplify it.
Now, we need to subtract 375 from both sides.
Simplify it once again.
Divide both sides by -125
This plan will be the same cost after 36 movies.
Answer:
y=3x+12, y- intercept is 12
Step-by-step explanation:
-12x+4y=48
+12x +12x
4y=12x+48
divide by 4
y=3x+12
Step-by-step explanation:
all work is pictured and shown