Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
Answer:
all real numbers
Step-by-step explanation:
As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.
Domain: all real numbers
Answer:
- domain: x ≥ 0
- range: y ≥ 0
Step-by-step explanation:
The domain of a function is the set of x-values for which it is defined. The range of a function is the set of y-values the function produces.
<h3>Domain</h3>
The domain is the horizontal extent of the graph. This graph extends from x=0 toward x→∞. The domain is x ≥ 0. In interval notation, it is written [0, ∞).
<h3>Range</h3>
The range is the vertical extent of the graph. This graph extends from y=0 toward y→∞. The range is y ≥ 0. In interval notation, it is written [0, ∞).
Answer:
313,600
Step-by-step explanation:
Let t represent number of years after Beth's 9th birthday.
We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be
.
We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.
The population of town t years after Beth's birthday would be
.
To find population on Beth's 16th birthday, we will substitute
in our equation as Beth's 16th birthday would be 7 years after 9th birthday.



Therefore, the population on Beth's 16th birthday would be 313,600.