Answer:
6
Step-by-step explanation:
Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.
18 ÷ 12 = 1 r 6
12 ÷ 6 = 2 r 0 . . . . the GCF is 6
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You can also factor the numbers and see what the common factors are.
18 = 2·3·3
12 = 2·2·3
The common factors are 2·3 = 6.
In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6
Answer:
B. 4
Step-by-step explanation:
The degree of the polynomial (the exponent of the highest term) is the total number of roots (including imaginary roots).
The degree of this polynomial is 4, so there are 4 roots.
1. You'll need to download this data, or copy it down by hand.
2. Rearrange the data from lowest to highest values.
3. You have 24 data points (an even number).
In this case, to find the 1st quadrant, take the left half (that is, the left 12) data points. Since 12 is an even number, you must find the average of the middle two of these 12 data points. Your result is the 1st quadrant.
To find the 3rd quadrant, find the middle two data points of the right-hand 12 data points. Average these two points. The result is the 3rd quadrant.
Answer:
n=216.
Step-by-step explanation:
Very simple problem - we just have to multiply both sides by 6, which will get rid of the 6 on the left.
36 x 6 = 216
Annie's total earnings from her initial savings, $12, and from babysitting should be equal or more than 30. Annie's total earnings from babysitting may be expressed as $6n. The inequality should be,
12 + 6n <span>≥ 30
Solving for x,
6n </span><span>≥ 30 - 12
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6n </span>≥ 18 ; n <span>≥ 3
</span><span>
Thus, the answer is the second among the choices.
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