Answer:
Please see attached graph
Step-by-step explanation:
We know that the equation tht represents the boats avlue is given by
A(x) = 400(b)^x + 0 = 400(b)^x
A(x) = 400(b)^x
An increment in the rate of 25% a yeard is given by
b = 1.25
A(x) = 400(1.25)^x
Which graph can be seen below
Answer:
Graphing
Step-by-step explanation:
1) You can graph this equation by using y=mx+b. You can replace that equation with y=3x-1.
M=3
X=x
B=-1
On a graph you would down 1 since it's negative and make a point. Then you would put a 1 under the 3 to make it a fraction. 3/1. Then you would divide 1 by 3 (1 ÷ 3). Then you would go to the right 0.33 because it's positive, and the up 1. Then you would make a second point.
This would only give you one line which wouldn't give you an intersection.
Here are a few things you'll need to know for this question:
- Domain: <u>The list of x-values that are possible on a line.</u>
- Range: <u>The list of y-values that are possible on a line.</u>
- Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
- Closed Circles: <u>The endpoint is included.</u>
- Open Circles: <u>The endpoint is excluded.</u>
So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>
Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>
Answer:
11.6 ft
Step-by-step explanation:
I attached a diagram for you to easily visualize this problem.
To solve this problem, you would use the pythagorean theorem. The 12-ft ladder is the hypotenuse and the 3 ft from the barn is one of the side legs. You want to find the length of the "other side leg", or the height of the barn.
Substitute 3, 12, and x into the pythagorean theorem like so.
a^2 + b^2 = c^2
3^2 + x^2 = 12^2
Evaluate the exponents.
9 + x^2 = 144
Subtract 9 from both sides.
x^2 = 135
Square root both sides.
x = 11.618
Round this to the nearest tenth: 11.6 feet.
