Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
_____
<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
Answer:
= x − 4
Step-by-step explanation:
Let's simplify step-by-step.
3x−(2x+4)
Distribute the Negative Sign:
=3x+−1(2x+4)
=3x+−1(2x)+(−1)(4)
=3x+−2x+−4
Combine Like Terms:
=3x+−2x+−4
=(3x+−2x)+(−4)
= x - 4
Answer:
$8 per hour
Step-by-step explanation:
hope i was able to help , take care be safe and have a good day
Answer:
Step-by-step explanation:
3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
4(2x + y = 5) (2) times 4
——————-
3x - 4y = 13
8x + 4y = 20
——————-
11x = 33
x = 33/11
x = 3
Plug x = 3 in (2):
2(3) + y = 5
6 + y = 5
y = 5-6
y = -1
Thus, x = 3 and y = -1
Please bare with me bc I’m bad at wording things, change it as you please!
It’s a minimum. I know that the function is a minimum because whenever there is a - in the beginning of the equation it flips your parabola over the x axis and my parabola becomes concave down. When my parabola is concave up I have a minimum, vise versa is a maximum. Because there isn’t a -, my parabola is concave up meaning the function has a minimum