The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length
2 answers:
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9514 1404 393
Answer:
see attached
Step-by-step explanation:
The first two x-values, -4 and 0, fall in the first part of the function definition.
There is no function definition for x = 4, as the second part only applies for x > 4.
The last x-value, 8, falls in the second part of the function definition.
The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...
h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2
h(0) = 6
h(4) = undefined
h(8) = -8/3
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The answer is option D) r < 5 or r > – 1.
I'm going to graph each inequality below on a number line.
A) r > 5 or r > – 1.
The result is found just by joining those two intervals together. Actually that compound inequality only implies
r > – 1
which does not represent all real numbers.
—————
B) r > 5 or r < – 1.
Numbers between – 1 and 5 (including them) are not included in the union, so you don't have all real numbers represented there either.
—————
C) r < 5 or r < – 1.
Numbers that are greater or equal to 5 are not in the union. So it does not represent all real numbers.
—————
D) r < 5 or r > – 1.
Now all real numbers are included in the union. So this is the right choice.
Answer: option D) r < 5 or r > – 1.
I hope this helps. =)
——————————
The answer is option D) r < 5 or r > – 1.
I'm going to graph each inequality below on a number line.
A) r > 5 or r > – 1.
The result is found just by joining those two intervals together. Actually that compound inequality only implies
r > – 1
which does not represent all real numbers.
—————
B) r > 5 or r < – 1.
Numbers between – 1 and 5 (including them) are not included in the union, so you don't have all real numbers represented there either.
—————
C) r < 5 or r < – 1.
Numbers that are greater or equal to 5 are not in the union. So it does not represent all real numbers.
—————
D) r < 5 or r > – 1.
Now all real numbers are included in the union. So this is the right choice.
Answer: option D) r < 5 or r > – 1.
I hope this helps. =)