Answer:
a =3
b = -5
c = 4
Step-by-step explanation:
3x^2+4=5x
Subtract 5x from each side
3x^2-5x+4=5x-5x
3x^2-5x+4=0
The equation is in the form
ax^2 +bx+c =0
a =3
b = -5
c = 4
Answer:
point-slope equation of the line through (1,0) and (6,-3). Use Exact Numbers
Step-by-step explanation:
We have that
<span>y=1/2x-3
1) the slope of this line equation is m=(1/2)
2) the coordinates of the y intercept are
for x=0
y=-3
point (0,-3)
3)</span>the coordinates of the x intercept are
for y=0
0=(1/2)x-3------> (1/2)x=3----> x=6
point (6,0)
<span>if the line is dilated by a factor of 3
then
</span>y=1/2x-3--------> 3y=3*[1/2x-3]-----> 3y=(3/2)x-9
3y=(3x-18)/2-------> y=(3x-18)/6--------> y=(3/6)x-18/6
y=(3/6)x-18/6
so
1) the slope of this line equation is m=(3/6)-----> 3/6=1/2
2) the coordinates of the y intercept are
for x=0
y=-18/6-------> y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(3/6)x-18/6------> (3/6)x=18/6----> x=18/3------> x=6
point (6,0)
therefore
the equation of the line
y=1/2x-3 is the same that the equation of the line y=(3/6)x-18/6
<span>the equation does not change because the slope and the x and y intercepts do not change either</span>
To find (f+g)(x), add the equations and simplify by combining like terms.
(x/2)-2+2x^2+x-3
2x^2+ (x/2) +x -5
2x^2 + (1/2)x+x -5
2x^2+ (3/2)x -5
Final answer: C
Remember that (x/2) is the same as (1/2)x. They both represent half of x.
