Answer:
The answer is 9
Step-by-step explanation:
Since the diagram is rhombus
Then
Then
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Answer:
1
Step-by-step explanation:
The graph f(x) = |x| with vertex (0,0) becomes g(x) = -|x-8| whose vertex is (8,0). This means the range of the parent function y>0 becomes y<0. This is so because the new graph opens downward unlike the parent function which opens up. The domain does stay the same. Statement 1 is correct.
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:
Answer:
4x-34
Step-by-step explanation: simplify to find your answer
Alright, to average 1000 per day over 3 days, we have 1000*3=3000 dollars. Since we already have 2 days, we do 3000-1240-921=839