Answer:
Step-by-step explanation:
x intercepts are -3,-1
f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3
or f(x)=-(x+2)²+1
vertex is (-2,1)
so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)
Answer:

Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:

Answer:
a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C
Step-by-step explanation:
–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil
Answer:
v ≈ 8.5 km/h
Step-by-step explanation:
Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.
Use the radius of the water wheel to find it's circumference C:
[set r = 1.5 m]
⇒ 
⇒
m
One revolution of the water wheel corresponds to
meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:
=
/min
Using this result, the speed of the river in kilometers per hour will be:
×
× 
⇒

⇒
≈
km/h
Answer:
15 1/2
Step-by-step explanation: