Answer:
c) y= 2x +4
Step-by-step explanation:
<u>Slope-intercept form:</u>
y= mx +c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 2
m= 2
y= 2x +c
To find the value of c, substitute a pair of coordinates into the equation.
when x= -1, y=2,
2= 2(-1) +c
2= c -2
c= 2 +2
c= 4
Thus, the equation of the line is y= 2x +4.
3 / 5 / -4 / 9
= 3/5 * -9/4
= -27/20
Its the first choice
Answer:
1 rabbit is 4 dollars
Step-by-step explanation:
for every rabbit you have, multiply it by 4 to find the number of dollars
Answer:
1. n⁶
2. 9r²
3. a^-2 or 1/a²
4. b^-1/2 or (√b)^-1 or 1/(√b)
5. no. 5 isn't clear
Answer:
<em>Thus the domain is the real numbers and the range is y>3.</em>
<em>Answer: Option C)</em>
Step-by-step explanation:
<u>Domain and Range of Functions</u>
To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.
The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.
Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.
Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)