Answer:
great
Step-by-step explanation:
Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:
A. u(x) ≠ 0 and v(x) ≠ 2.
<h3>What is the domain of a data-set?</h3>
The domain of a data-set is the set that contains all possible input values for the data-set.
To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.
Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.
More can be learned about the domain of a data-set at brainly.com/question/24374080
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Answer:
3.528
Step-by-step explanation:
First, you need to determine the scale factor. Divide one side in the larger triangle by the corresponding side in the smaller triangle. For example, 8/2. This would give you a scale factor of 2. Then you can reverse the process with the dimensions you need to get the area. The height of the larger triangle is 3.36, so to find the height of the smaller one, you divide it by 2, or the scale factor, to get the height of the smaller triangle which is 1.68. Next, you can solve for area of triangle using a=bh/2, so 4.2*1.68/2=a = 3.528.
Answer: 3y⁴(y² + 5)(y - 1)(y + 1)
<u>Step-by-step explanation:</u>
3y⁸ + 12y⁶ - 15y⁴
= 3y⁴(y⁴ + 4y² - 5)
= 3y⁴(y² + 5)(y² - 1)
= 3y⁴(y² + 5)(y - 1)(y + 1)
Answer:
82
Step-by-step explanation:
Let the unknown number be x
If an unknown number is added to 8, this is expressed as;
8 + x
<em>If The sum is then divided by 9 to give the answer 10, then;</em>
<em>(8+x)/9 = 10</em>
<em>Cross multiply</em>
<em>8 + x = 9 * 10</em>
<em>8 + x = 90</em>
<em>x = 90 - 8</em>
<em>x = 82</em>
Hence the unknown number is 82
