G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C. increasing, x < 7; decreasing x > 7.
Answer:
The inverse of logarithmic function
f⁻¹(x)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given f(x) = log₂ˣ ( 2 is a radical)
<em>Let x₁ and x₂ be the ∈ domain f</em>
⇒f(x₁) = f(x₂)
⇒ ![log_{2} x_{1} = log_{2} x_{2}](https://tex.z-dn.net/?f=log_%7B2%7D%20x_%7B1%7D%20%3D%20%20log_%7B2%7D%20x_%7B2%7D)
⇒ x ₁ = x₂
<em>Therefore f(x) is one-one function</em>
Let y = f(x) = log₂ˣ
⇒ y = log₂ˣ
⇒
<em>f(x) is a one-one function and onto</em>
⇒
⇒ f⁻¹(x)
<em>The inverse of logarithmic function </em>
f⁻¹(x)
The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations.
Answer:
you first draw a shape thats the size of the numbers then times the l x w
Step-by-step explanation:
go to khan academy
Answer:
Step-by-step explanation:
Equation: (3x+7) + (10x+17) = 180
*These are consecutive interior angles and they add to 180 degrees
1.) Add like terms
13x + 24 = 180
2.) Subtract 24 from both sides
13x = 156
3.) Divide each side by 13
x = 12
*Substitute x in both expressions to get angle measures
Value of x: 12
3(12)+7 = 36+7 = 43
10(12)+17 = 120+17 = 137
*Check 43+137 = 180
Angle Measures: 1st angle: 43 degrees
2nd angle = 137 degrees