Answer:
im not sure but i think it might be d
Step-by-step explanation:
Answer:
(- 6, 0 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = - 18 → (1)
2x + 9y = - 12 → (2)
Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is
6x + 4y = - 36 → (3)
- 6x - 27y = 36 → (4)
Add (3) and (4) term by term to eliminate x
- 23y = 0
y = 0
Substitute y = 0 into either of the 2 equations and evaluate for x
Substituting into (1)
3x + 0 = - 18
3x = - 18 ( divide both sides by 3 )
x = - 6
Solution is (- 6, 0 )
It’s in the millions place
Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
Answer:
-12 = 3x - 4y
Step-by-step explanation:
Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.
Using the point slope form, we get:
y - 3 = (3/4)(x - 0), or
4y - 12 = 3x, or
-12 = 3x - 4y (which is in Standard Form).
