1. 3x=18; you divide each side by 3 because you want to get the x by itself. When you do that, you get x=6.
2. Y+4=11; you subtract each side by 4 because you want to get the y by itself so you do the opposite of that is in front of the +4 (-4). When you do that, you get y=7.
3. W/5=6; you multiply each side by 5 because to get rid of the 5, you multiply(or do the opposite(inverse)) to get the w by itself. That would leave you with w=30.
4. 135=p+21; you subtract each side by 21 to get 114=p.
5. 2m-3=13; the easiest thing to do is to add 3 to both sides to get 2m=16. After that divide both sides by 2 to get m=8.
6. 3/4+a=2 1/4; if it's easier, turn the fractions into a decimal. Subtract both sides by 3/4 to get 1 1/2. a=1 1/2
Answers:
16 chickens
35 pigs
========================================================
Explanation:
x = number of chickens
y = number of pigs
There are 51 heads, so x+y = 51 which solves to y = 51-x
2x = number of legs just from the chickens (2 legs per chicken)
4y = number of legs just from the pigs (4 legs per pig)
2x+4y = 172 legs total
----------
Plug in y = 51-x and solve for x.
2x+4y = 172
2x+4(51-x) = 172
2x+204-4x = 172
-2x+204 = 172
-2x = 172-204
-2x = -32
x = -32/(-2)
x = 16
Now use this to find y
y = 51-x
y = 51-16
y = 35
Since x = 16 and y = 35, this means there are <u>16 chickens</u> and <u>35 pigs</u>.
----------
Check:
x+y = 16+35 = 51 which works
2x+4y = 2*16+4*35 = 172 and that also works.
Both equations are confirmed.
Answer:
A, D, and F.
Step-by-step explanation:
A:
The remainder is 0, thereby satisfying the factor theorem.
D: Synthetic division is in the form p(x)/(x-a). Since -4 is the number, the factor must be (x--4) or (x+4)
F: Refer to D.
Parabola: is a two-dimensional, mirror-symmetrical curve, which is
approximately U-shaped when oriented as shown in the diagram below, but
which can be in any orientation in its plane. It fits any of several
superficially different mathematical descriptions which can all be
proved to define curves of exactly the same shape.
Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type
of smooth curve lying in a plane, defined by its geometric properties or
by equations for which it is the solution set. A hyperbola has two
pieces, called connected components or branches, that are mirror images
of each other and resemble two infinite bows
Hope this Helps
