(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
Step-by-step explanation:
Since, roots are - 3 & 2
Therefore, (x + 3) & (x - 2) would be factors.
Leading coefficient is 5
Hence, required quadratic equation is:
Answer:
x = -4
Step-by-step explanation:
Distribute the -2 into the parentheses and your equation becomes -8x - 8 - 3x - 2 = 34
Then combine the -8x and -3x as well as the -8 and -2 to have -11x - 10 = 34
Add 10 to both sides and get -11x = 44
Divide both sides by -11 for x=-4
The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Answer:
13.99+.75+.75=15.49
Part A ) 15.49
Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51
Step-by-step explanation:
