The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table belo
1 answer:
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Answer:
3. A; 4. C; 5. D; 6. D
Step-by-step explanation:
3. By Pythagorean theorem, x^2=100-64=36, x=6
4. By Pythagorean theorem, x^2=81-36=25, x=5
5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4. (the ratio is 1:1:
by Pythagorean theorem)
6. Like Question #5, the ratio is 1:1: since it is an isosceles triangle, the leg is 8.
The domain of the function is all real numbers, the range of a function is y ≤ 4
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = –(x + 6)(x + 2)
If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.
Here the no other details are given.
But we can say:
- The domain of the function is all real numbers.
- The range of a function is y ≤ 4
- The x-axis intercept will be at (-6, 0) and (-2, 0).
Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4
Learn more about the function here:
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Answer:
1.
2.
3.
Step-by-step explanation:
Standard form of a line is .
If a line passing through two points then the equation of line is
where, m is slope, i.e.,.
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
Therefore, the required equation is .
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to .
Slope of the line :
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
Therefore, the required equation is .
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to .
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
Therefore, the required equation is .