P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980
Complete Equation:
p(x) = (x^2)(x - 4)^2(x +4) + 1980
or expanded form
p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980
We know that
points are
x intercept
A (4,0)
y intercept
B (0,11)
step 1
find the equation of a line
m=(y2-y1)/(x2-x1)--------> m=(11-0)/(0-4)------> m=-11/4
with m and the point B (0,11)
y-y1=m*(x-x1)y-11=(-11/4)*(x-0)---------> y=-(11/4)x+11
the answer is
the formula of the function is y=-(11/4)x+11
see the attached figure
She has 6 1/3. The larger dress need 3 2/3. So 6 1/3 - 3 2/3 = 2 2/3
So Mrs. Rodriguez will need 2 2/3 for the smaller dress
Answer:
6.4 meters per second
Step-by-step explanation:
Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?
0.9 meters per second
1.6 meters per second
6.4 meters per second
10.4 meters per second
Speed = distance / time
Olympian's speed = 100 / 9.6 = 10.4 meters per second
Sarah's speed = 16.8 meters per second.
Difference in speed = 16.8 - 10.4 = 6.4
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero