Answer:
1. y = 7x. This is an example of direct variation as the value of y also increases if the value of x is increased.
2. xy = 24. This is an example of inverse because the value of y is decreased when x is increased.
3. F = 4/R. This is inverse variation for the same reason as number 2.
4. m/n = 4. Direct variation. For the same reason as number 1.
5. i = 2pr. Joint variation. The value of i is dependent on the values of two other variables.
6. R = cl/r². Joint variation.
7. A = pir². Direct variation. I believe pi here is for π, leaving only A being dependent only to value of r.
8. V= pir²h. Joint variation.
Step-by-step explanation:
Answer:
(x, y) = (-8, 19)
Step-by-step explanation:
9x + 3y = -15
-4x - 3y = -25
(9x + 3y) + ((-4x) - 3y) = -15 + (-25)
5x = -40
x = -8.
So,
9x + 3y = -15
9 * (-8) + 3y = -15
-72 + 3y = -15
3y = 57
y = 19
Answer:
3 by 4
Step-by-step explanation:
12 reduced by 75% is 3
16 reduced by 75% is 4
The translated function is:
g(x) = √(x - 3) - 9
<h3>
How to find the translation?</h3>
The transformations used here are:
<u><em>Horizontal translation:</em></u>
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
<u><em>Vertical translation:</em></u>
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we have a translation of 3 units right and 9 units down, this would be written as:
g(x) = f(x - 3) - 9
Replacing f(x) by the actual function we get:
g(x) = √(x - 3) - 9
If you want to learn more about translations, you can read:
brainly.com/question/24850937