If you have some thing like x^2 + x + x^3 + x^2 the correct order would be x^3 + x^2 + x^2 + x.
Answer:
Personal items=15
Step-by-step explanation:
We are given:
Total number of artifacts = 72.
We are told that 2/3 of total artifacts are shards of pottery.

We are also told that 1/8 of total artifacts are tools.
Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.


Therefore, there are 15 personal items.
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other because of this:
6y - 2 = 4x + 20
But we have a problem because we have 2 unknowns.
Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that
52 + 6y - 2 + 4x + 20 = 180.
But we STILL have a problem with those 2 unknowns. BUT...
If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20. We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:
52 + 2(4x + 20) = 180 and
52 + 8x + 40 = 180 and
8x = 88 so
x = 11.
That means that
4(11) + 20 = 64 which is the measure of both angles X and Y.
Let's check:
64 + 64 + 52 better equal 180. And it does, so we're good.
The value of x is found this way:
4x + 20 = 64 and
4x = 44 so
x = 11 which we already knew. Now for y:
6y - 2 = 64 and
6y = 66 and
y = 11 also.
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) =
← from (- 1,
) , thus
average rate of change =
=
=
→ D
Answer: OPTION B
Step-by-step explanation:
Let's call:
c: the number of cars.
m: the number of motorcycles.
Based on the given information, you can set up the following system of equations:

You can solve it by the Elimination method:
- Multiply the first equation by -4.
- Add both equations to cancel out the variable "c".
- Solve for "m":
(24 motorcycles)
- Substitute m=24 into any of the original equations ans solve for "c". Then:

(14 cars)