A. The discriminant is 81. The formula is b^2 - 4ac.
B. 2 answer and both will be rational due to the fact that the discriminant is a perfect square.
C. Solutions are 1/2 and -4. You can find using the quadratic formula.
Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
The regular hexagon has both reflection symmetry and rotation symmetry.
Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.
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Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°
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Answer:
h < -8
Step-by-step explanation:
Add -16 to both sides to solve for h.
h - 16 + 16 < -24 + 16
h < -8
Answer:
1
Step-by-step explanation:
Given the system of equations below
y=2x+5
y=x+6
Equating the right hand side of the expressions we will have;
2x+5 = x+6
Collect the like terms;
2x - x = 6 - 5
x = 1
Hence the x-coordinate of the solution to the system is 1
