Answer:
10/3
Step-by-step explanation:
-1(6h + 7) = -6h - 7
-6h - 7 + 8 = -6h + 1
-6h + 1 = -19
-1 -1 <em>- Subtract 1 from both sides.</em>
-6h = -20
-6 -6<em> - Divide both sides by negative 6</em>
h = 10/3
Answer:
y=7x+1
Step-by-step explanation:
From the table, the difference in y is 7 and the difference in x is 1.
Let the linear equation be

Where m is the constant difference in y divided by the constant difference in x.
This means m=7/1=7
Our equation now becomes:
y=7x+b
To find b, we substitute any ordered pair from the table.
From the to table, when x=1, y=8.
This implies that,
8=7(1)+b
b=8-7=1
Therefore the equation is y=7x+1
Answer:
The attached image shows the graph for the given function.
Step-by-step explanation:
We are given the following function in the question:

We have to graph the given function.
Properties of the given function are:
- It is an exponential function of the form

- Here, a = 2, b = -1
- The y-intercept of the given function is (0,0.5)
- There is no x-intercept.
- The domain of the given function is all real numbers.
- The range of given function is

The attached image shows the graph for the given function.
Answer:
V = 38659.68 cm^3
Step-by-step explanation:
If we pretend A barrel is a cylinder we use V=πr^2h for the volume. We know h, but we need to find r
The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.
C = 2πr
56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14
56.52/(2*3.14) = r
9 cm = r
Now we can just plug into the volume.
V=πr^2h
V = 3.14 * 9^2 * 152
V = 38659.68 cm^3
I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.