Answer:
24 / x = 14 - 2x
Step-by-step explanation:
Quotient means division (÷ or /)
Quotient of 24 and x = 24 ÷ x
24 ÷ x is equivalent to 24 / x
14 minus 2 times x = 14 - 2x
So, the equation is
24 / x = 14 - 2x
Line 1:
Expanding the vertex form, we have
x² + 2·1.5x + 1.5² - 0.25 = x² +3x +2
Expanding the factored form, we have
x² +(1+2)x +1·2 = x² +3x +2
Comparing these to x² +3x +2, we find ...
• the three expressions are equivalent on Line 1
Line 2:
Expanding the vertex form, we have
x² +2·2.5x +2.5² +6.25 = x² +5x +12.5
Expanding the factored form, we have
x² +(2+3)x +2·3 = x² +5x +6
Comparing these to x² +5x +6, we find ...
• the three expressions are NOT equivalent on Line 2
The appropriate choice is
Line 1 only
Answer:
See answers below
Step-by-step explanation:
From the given functions, the equivalent function for when x = 0 is -(x-1)²
h(x) = -(x-1)²
h(0) = -(0-1)²
h(0)= -(-1)²
h(0) = -1
when x = 2, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(2) = -1/2(2) - 1
h(2) = -1-1
h(2) = -2
when x = 5, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(5) = -1/2(5) - 1
h(5) = -5/2-1
h(5) = -7/2