Answer: B
Step-by-step explanation:
A factorial is multiplying the integer and all of the integers below it together.
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
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Answer:
C
Step-by-step explanation:
The equation of direct variation is y=kx.
K is the constant of proportionality, which is in this case is -3.
y=-3x
Answer:
The ordered pair is a solution.
Step-by-step explanation:
Plug x = -3 and y = 0 into the 2 inequalities and see if they fit:
-2x + 2y >= 4
-2(-3) + 2(0) = 6 which is > 4 so this one fits.
y>= 2x - 6
0 >= 2*-3) - 6 = -12 which also fits.
Answer:
Step-by-step explanation:
<u>Apply distributive law: </u>
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