Answer:
Step-by-step explanation:
y=ax²+bx+c
x=0,y=0,c=0
y=ax²+bx
2=9a+3b (×-5)
3=25a+5b(×3)
add
9-10=75a-45a+15b-15b
30a=-1
a=-1/(30)
2=9×(-1/30)+3b
3b=2+3/10=23/10
b=23/30
y=-1/30 x²+23/30=-1/30(x²+23x+(23/2)²)+1/30 ×(529/4)
y=-1/30(x+23/2)²+529/120
Answer:
The equation is y = -3x.
The function is linear.
The point (2, -6) is on the graph of the function.
Step-by-step explanation:
<u>The function is linear.</u>
direct variation function is always linear. and linear means a straight line which is true in this case
<u>The equation is y = -3x.</u>
equation of line is y=mx+c
where, m=slope= -3.
it is linear so we are assuming it passes origin, (0,0).
m=(y2-y1)/(x2-x1)
now substituting m=-3 and (0,0) in x1 and y1.
-3=(y2-0)/(x2-0)
-3=y2/x2
y2=-3*x2
where y2=y, x2=x,
therefore,
y=-3x.
<u>The point (2, -6) is on the graph of the function</u>.
now,
y=-3x
substituting x=2,
y=-3(2)
y=-6
therefore,
if x=2, y=-6, (2,-6)
Distance travelled in 30 minutes = 1/3 miles
Distance travelled in 1 minute = 1/(3 × 30)
Distance travelled in 60 minutes = (1 × 60)/(3 × 30)
= 2/3 miles
Answer:
or 
is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function 
.
The roots of are 2 and 3.
Putting 
Putting 
Putting x = 2 or x = 3, g(x) = 0 
The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):
so, the equation can be written as:
where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
for the polynomial f(x) which has roots 
will have a factor:
or
Answer:
aa
Step-by-step explanation:
