Answer:
2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.
2x + 3y = 12
subtract 2x from both sides.
3y = -2x + 12
Divide both sides by 3.
y= - 2/3 x + 12/3 =
y= - 2/3x + 4
The slope is - 2/3
Answer:
D. (8,0), (4,0)
Step-by-step explanation:
they both on tha line
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
Answer:
range: {y: y ≥ 0} ⇒ h(x)
decreasing over(-∞ , 1) ⇒ h(x)
increasing over (-∞ , 0) ⇒ g(x)
range: {y: y ≤ 1} ⇒ g(x)
increasing over (1 , ∞) ⇒ h(x)
decreasing over(0 , ∞) ⇒ g(x)
Step-by-step explanation:
∵ h(x) = (x - 1)²
∴ Its vertex is (1 , 0)
∴ The parabola is opened upward
∴ The range: {y: y ≥ 0}
∴ It's decreasing over (-∞ , 1)
∴ It's increasing over (1 , ∞)
∵ g(x) = -(x - 1)(x + 1) = -(x² - 1) = -x² + 1
∴ Its vertex is (0 , 1)
∴ The parabola is opened downward
∴ The range: {y: y ≤ 1}
∴ It's increasing over (-∞ , 0)
∴ It's decreasing over (0 , ∞)
Well this is considerably easy!
Create equivalent expressions in the equation that all have equal bases.
2^x=2^4
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=4
Verify each of the solutions by substituting them into 2^x=16
and solving.
x=4