Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?
A) stretched vertically, shifted left 2 units, and shifted down 4 units
B) stretched vertically, shifted right 2 units, and shifted up 4 units
C) compressed vertically, shifted left 2 units, and shifted down 4 units
Eliminate
D) compressed vertically, shifted right 2 units, and shifted up 4 units
Answer:
5. 5/8 flour needed to make 5 dozen cookies
Step-by-step explanation:
2 dozen= 24
5 dozen=60
It takes 1 1/8 flour for 1 dozen cookies so 1 1/8 x 5= 5.625 in fraction form that= 5 5/8
Hi there! :)
So, to find the surface area, all you need to do is find the area of each surface on the shape.
Theres 5 different shapes in the model, so you're going to need to find the area of each one.
There is:
1. left side triangle
2.right side triangle
3.slanted rectangle
4.bottom rectangle
5. back rectangle
all the rectangles are simple, so let's start with them.
the dimensions of the slanted rectangle are 7m and 8m, so 8•7 is 56.
the dimensions of the bottom rectangle are 5m and 7m, so its 35.
the back rectangle has 5m and 7m so it is 35.
Halfway done!!
Now, onto the triangles. they're the same thing as the rectangles, but you half to 'cut it in half' or just divide by two. both of the triangles will be the same.
the triangles measurements are 5m and 8m, so 5•8 is 40, 40÷2 is 20. both of the triangles being 20, now all we have to do is add it up.
20+20+35+35+56=166
and that's about it!
I hope this helps, sorry it took so long to answer, but I hope you have a good day!
-Scarlet
(see photo for my paper work)
{CHECK REPLIES!}
Answer:
Step-by-step explanation:
we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪.............Answer
Answer:
90
Step-by-step explanation: