Answer:
-3 < x ≤ 7
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We can see from the graph that our x-values that can be inputted are from -3 to 7. Since -3 is an open dot, we cannot include this in our domain.
∴ -3 < x ≤ 7
Answer:
B ⊂ A
Step-by-step explanation:
We know that:
A {x|x is a polygon}
So set A is the set of all polygons.
B {x|x is a triangle}
Set B is the set of all triangles.
First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.
For example, a triangle is a polygon, a rectangle is a polygon, etc.
Then, all triangles are polygons, but not all polygons are triangles.
So we can conclude that the whole set B is included in the set A.
Then the correct notation would be:
B ⊂ A
A. X is the number of years after 2000
2006-200 = 6 years.
Replace x with 6 and solve:
105(6)^2 + 680(6) + 4296 = 12,156
Answer for part a: 12,156
Answer for part B.
There was just over 12,000 in 6 years , to get to 21,500 would be a little over 9,000 more 9/12 = 0.75
6 years x .75 = 4.5 years
6 + 4.5 = 10.5 years round to 10 years for estimating purposes
Answer for part b: about 10 years
Answer:

Step-by-step explanation:
1) Join the denominators.

2) Simplify.

3) Simplify.

Therefor, the answer is 5/6.
and in decimal from it will be, 0.8333333.
Given that S<span>hanley would like to give $5 gift cards and $4 teddy bears as party favors and that Shanley has $128 to spend on party favors.
The inequality to find the number of </span><span>gift cards x and teddy bears y Shanley could purchase</span> is given by

One solution to the inequality is that Shanley can buy 12 gift cards and 15 teddy bears.