Answer:-5/2±1/2
Step-by-step explanation:
x^2+ 5x +5=0
a=1,b=5,c=5
plugging into the quadratic formula
(-5±
)/2
Answer:
g(x) = x^3 + 4
Step-by-step explanation:
Not much to explain -- g(x) is larger than f(x) by four units for every x.
Of course, to shift the graph down, subtract 4 units.
To get an even deeper understanding, think of how you'd do a left or a right shift of the graph.
Here are the answers, but I'm not going to tell you which is a left shift, and which is a right shift:
g(x) = (x - 4)^3
g(x) = (x + 4)^3
If you can't do it in your head, try plotting a couple of points - don't guess.
1. Collect your data
2. Draw an x and a y-axis
3. Label the x axis
4. Label the y axis
5. Draw your bars
6. Interpret the data
(I hoped this helped)
Answer:
C x=6
Step-by-step explanation:
sqrt(x+3) = x-3
Square each side
(sqrt(x+3))^2 = (x-3)^2
x+3 = (x-3)^2
x+3 = (x-3)(x-3)
FOIL
x+3 = x^2 -3x-3x+9
Combine like terms
x+3 = x^2 -6x+9
Subtract x from each side
x-x+3 = x^2 -6x-x +9
3 = x^2 -7x +9
Subtract 3 from each side
3-3 = x^2 -7x +9-3
0 = x^2 -7x+6
Factor
0 = (x-6)(x-1)
Using the zero product property
x-6=0 x-1 =0
x=6 x=1
Since we squared we need to check for extraneous solutions
x=1
sqrt(1+3) = 1-3
sqrt(4) = -2
2=-2
False
Extraneous
x=6
sqrt(6+3) = 6-3
sqrt(9) = 3
3=3
True solutions