Answer:
A- for every animal, if the animal is a rabbit, the animal hops.
B- every animal is a rabbit and it hops.
C-there are animals that, if they are rabbits, they hop.
D-there are animals that are rabbits and they hop
Answer:
15 different swing sets
Step-by-step explanation:
The swing set is composed by one swing and one slide.
There is 5 different types of swing, so there are 5 possibilities to fill the one swing we need.
There are 3 different types of slides, so there are 3 possibilities to fill the one slide we need.
So, to find the total number of swing sets, we just need to multiply the swing possibilities and the slide possibilities:
Number of sets = 5 * 3 = 15 different sets
4c+3=15
You need to get rid of the 3
So you minus it from each side so you
4c=12
12/4=3
So c =3
Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
Answer:
<u>A. 52 green beads; 39 yellow beads</u>
Step-by-step explanation:
See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The
Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.
G: 52 Beads
B: 26 Beads
Y: 39 Beads