Domain: x is greater than or equal to 2 but is less than our equal to 7
range: y is greater than or equal to 6 but is less than or equal to 18
Answer:
Non-proportional. Has y-intercept (1/2)
Step-by-step explanation:
The correct option regarding whether the sum of a rational number and an irrational number is always irrational is given by:
Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.
<h3>What are rational and irrational numbers?</h3>
- Rational numbers are numbers that can be represented by fractions, such as terminating decimals.
- Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.
The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational, and the correct option is given by:
Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.
More can be learned about rational and irrational numbers at brainly.com/question/17232771
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Answer:
- x-intercepts: -1±√4.5
- y-intercepts: 2±8/3
Step-by-step explanation:
The x-intercepts are where y = 0.
(x +1)^2/9 +(0 -2)^2/8 = 1
(x +1)^2/9 +1/2 = 1 . . . . . simplify a bit
(x +1)^2 = 9/2 . . . . . . . . .subtract 1/2, multiply by 9; next: square root, add -1
x = -1 ±√4.5 . . . . . x-intercepts
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The y-intercepts are where x=0.
(0+1)^2/9 +(y-2)^2/8 = 1
1/9 + (y -2)^2/8 = 1 . . . . . simplify a bit
(y -2)^2 = 64/9 . . . . . . . . subtract 1/9, multiply by 8,
y = 2 ±8/3 . . . . . . take the square root, add 2 . . . . y-intercepts
Answer:
Step-by-step explanation:
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