The third term of the expansion is 6a^2b^2
<h3>How to determine the third term of the
expansion?</h3>
The binomial term is given as
(a - b)^4
The r-th term of the expansion is calculated using
r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)
So, we have
3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)
Evaluate the sum and the difference
3rd term = C(4, 2) * (a)^2 * (-b)^2
Evaluate the exponents
3rd term = C(4, 2) * a^2b^2
Evaluate the combination expression
3rd term = 6 * a^2b^2
Evaluate the product
3rd term = 6a^2b^2
Hence, the third term of the expansion is 6a^2b^2
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Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.
The intervals on which the graph is increasing: ]-∞,-3[ U ]0.5,-∞[ . On the other hand, the graph is decreasing: ]-3,0.5[
<h3>Function</h3>
A function can be classified as increasing or decreasing. Thus, a function is increasing when the y-values increase, on the other hand, a function is decreasing when the y-values decrease.
From the image, you can see that the y-values increase in the following x-intervals: from -∞ to -3 and from 0.5 to ∞. Using interval notation, you can write that the function is increasing in:
]-∞,-3[ U ]0.5,-∞[
From the graph, you can see that the y-values decrease in the following x-intervals: from -3 to 0.5. Using interval notation, you can write that the function is decreasing in:
]-3,0.5[
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Answer:
17 yards and 31 yards.
Step-by-step explanation:
Since length is 14 more than width, lets call width: w and length: w+14
So perimeter is 96 so: 2w+2(w+14)=96
2w+2w+28=96 so 4w+28=96
4w=68 and finally w=17
So 17 yards and 31 yards.
Answer:
8.0
Step-by-step explanation:
7.538 start from 8 which is in the thousandth place. 8 will make the 3 turn into 4. 4 is too low so it doesn't change the 5. the 5 change the 7 to 8. so anything that is 5 and up you round up
