What is the range of #17
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Answer:
A
Step-by-step explanation:
plug the domain values in, then order from least to greatest.
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A survey was done where boys and girls were asked if they would prefer to play inside or outside. The results of the survey are shown in the two-way frequency table. What percent of the boys surveyed prefer to play inside?Enter your answer to the nearest tenth of a percent.
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The remainder theorem says that dividing a polynomial by
leaves a remainder of
. Here,
, then
.
Final answer:
When you divide the given polynomial by x + 4, the remainder is 0. When you divide by x - 3, the remainder is 428.
Explanation:
To divide the polynomial p(x) = x^4 + 6x^3 + 7x^2 − 6x − 8 by x + 4 and x - 3 using the remainder theorem, first you substitute the roots of the divisor into the polynomial.
For x + 4, the root is -4. Substituting -4 into the polynomial yields p(-4) = (-4)^4 + 6*(-4)^3 + 7*(-4)^2 - 6*(-4) - 8 = 0. Thus, the remainder is 0 when dividing by x + 4.
For x - 3, the root is 3. Substituting 3 into the polynomial yields p(3) = (3)^4 + 6*(3)^3 + 7*(3)^2 - 6*(3) - 8 = 428 . Thus, the remainder is 428 when dividing by x - 3.
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Answers
Number 2 is the answer
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Let's say he earned $10 and only spent $9. This means he would have $1 left. That isn't much, but it is still a positive number because he did not spend more than he made. For example, if he spent more than he made, it would look like this: He made $10, but spent $11, which leaves him with a debt of $1, which can be represented by $-1.
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8z - 22= 9z + 33 - z
8z - 9z + z = 33 + 22
0 = 55
Conclusion: No Solution
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Answer is 1/4
Final answer:
The product of 1/2 multiplied by 1/2 is 1/4, which is less than 1/2. Therefore, when 1/2 is multiplied by 1/2, the result is not greater than 1/2.
Explanation:
When multiplying fractions, we multiply the numerators (the top numbers) to get the new numerator and the denominators (the bottom numbers) to get the new denominator. In this case, when we multiply 1/2 by 1/2, we multiply 1 (numerator) by 1 (numerator) to get 1 as the new numerator and 2 (denominator) by 2 (denominator) to get 4 as the new denominator. So, 1/2 times 1/2 equals 1/4.
When comparing 1/4 and 1/2, we can easily see that 1/4 is less than 1/2. Hence, the product of 1/2 times 1/2 is not greater than 1/2 - it is, in fact, less than 1/2. So, the answer is no.
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