The range of the function y = 4x + 2 where the domain is the set of all of
the positive even numbers less than 10 is {10, 18, 26, 34}
The given equation is:
y = 4x + 2
The domain is the set of all of the positive even numbers less than 10.
That is, x = {2, 4, 6 ,8}
To get the range, find the values of y for x = 2, 4, 6, and 8
For x = 2:
y = 4(2) + 2
y = 8 + 2
y = 10
For x = 4:
y = 4(4) + 2
y = 16 + 2
y = 18
For x = 6:
y = 4(6) + 2
y = 24 + 2
y = 26
For x = 8:
y = 4(8) + 2
y = 32 + 2
y = 34
Therefore, the range = {10, 18, 26, 34}
Learn more here: brainly.com/question/18479953
Answer/Step-by-step explanation:
An equation that describes the relationship can be written as 
.
Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:
Substitute m = 70 into
The equation would be:
This equation can be interpreted as follows:
The heart's resting rate is 70 beats each minute.
9514 1404 393
Answer:
C. (9, 18)
Step-by-step explanation:
Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...
(9, 15)
Then the translation up by 3 will give you the image coordinates ...
(x, y) ⇒ (x, y+3)
(9, 15) ⇒ (9, 15 +3) = (9, 18)
The coordinates of R' are (9, 18), matching choice C.
_____
<em>Comment on multiple choice answers</em>
As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.
We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
Answer:
y = 260
Step-by-step explanation:
locate x = 7 on the x- axis, go vertically up to meet the graph at (7, 260 )
when input is 7 then output y = 260
