Answer: g(x) has the smallest possible y-value of -3
<u>Step-by-step explanation:</u>
f(x) = 3ˣ - 3 <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>
Range: y > 3 (-3, ∞)
g(x) = 7x² - 3
⇒ g(x) = 7(x - 0)² - 3 <em>This is a parabola with vertex at (0, -3) </em>
Range: y ≥ 3 [-3, ∞)
The first set:
3x + 2y = 2 ---1)
5x + 4y = 6 ---2)
From 1), multiply all by 2, 6x + 4y = 4 ---3)
3) - 2),
6x + 4y - (5x + 4y) = 6 - 4
6x + 4y - 5x - 4y = 2
x = 2
Sub in x = 2 into 1),
3(2) + 2y = 2
2y = -4
y = -2
(2 , -2)
The second set:
3x + 2y = 2 ---1)
11x + 8y = 10 ---2)
From 1), multiply all by 4, 12x + 8y = 8 ---3)
3) - 2),
12x + 8y - (11x + 8y) = 8 - 10
12x + 8y - 11x - 8y = -2
x = -2
From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.
Hope this helped! Ask me if there's any working from here that you don't understand! :)
The answer is 58 I think 166-8= 158
Hey there! I'm happy to help!
Here is our equation.
3x+4=19
We subtract 4 from both sides.
3x=15
We divide both sides by 3.
x=5.
Have a wonderful day! :D
A millimeter is a one dimensional measurement whereas a liter is a three-dimensional measurement. There is no equivalence between the two.
If you meant milliliter, that is also equivalent to a cm^3, of which there are one thousand in a liter.
1000ml=L or 1000cm^3=L