Answer:
If the roots of any equation are equal then it means that their Discriminant = 0
So, b²-4ac = 0
We have given the equation 2x² + kx + 2, where,
a = 2
b = k (we have to find the value)
c = 2
Then, b²-4ac=0
b² - 4(2)(2) = 0
b² - 16 = 0
b² = 16
√16 = 4
Hence the vue of k is 4.
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Step-by-step explanation:
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Answer: 24
Step-by-step explanation:
Let the number of defeats be represented by x.
Since the total number of victories exceeds the number of defeats by 4, then the number of victories will be:
= x + 4
We then add the number of victories and losses together and equate them to 44. This will be:
x + x + 4 = 44
2x + 4 = 44
2x = 44 - 4
2x = 40
x = 40/2
x = 20
Therefore number of victories will be:
= x + 4
= 20 + 4
= 24
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Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
y = x^2 -4x
x = -1
y = (-1)^2 - 4×-1=1+4 = 5
x= 0
y = (0)^2 - 4×0 = 0
x = 1
y = 1^2 -4×1 = 1-4 = -3
x = 2
y = 2^2 -4×2 = 4-8 = -4
x=3
y = 3^2 - 4×3 = 9-12 = -3
x = 4
y = 4^2 - 4×4 = 16 - 16 = 0
now 2nd equation
y = 2x^2 + x
x = -2
y = 2 (-2)^2 + (-2)= 8-2 = 6
x = -1
y = 2 (-1)^2+(-1)= 2-1 = 1
x = 0
y = 2(0)^2 +0 = 0
x = 1
y = 2 (1)^2 + 1 = 3
x = 2
y = 2(2)^2+2= 8 + 2 = 10
