Which inequality represents all the values of x for which the quotient below is defined?

1 answer:

7 0

For "less than or equal to" you can use <=
For "greater than or equal to" you can use >=

√(15(x−1)) / √(2x^2)

Value under square root must be ≥ 0
Value in denominator not = 0

15(x−1) ≥ 0
x−1 ≥ 0
x ≥ 1

2x^2 > 0
x^2 > 0
x ≠ 0

Combining both inequalities, we get:

x ≥ 1

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What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1

navik [9.2K]

Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

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In summary, the answer is
a1=3; an=an-1+4
which is choice B

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The area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom. The length of the living room is 18 fe

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Let L be the length of one side of Kamila's bedroom (since her bedroom is square, the area would be L x L). Then the width of her living room is 1.25L. So:
18*1.25L=2.5(L)²
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An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article

GREYUIT [131]

Answer: (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.