Answer:
(1) 2 (2) (-1/2,0) (3) (0,1)
Step-by-step explanation:
The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.
Answer:
$192.4
Step-by-step explanation:
First, we'll work out what the customer had to pay before tax.
That's
(USD)
4% of 185 is 7.4,
So the customer paid
(USD)
The picture cannot be dilated to fit the frame. This is because one side of the picture is already 6-inches. So, therefore you cannot dilate the picture to fit the frame.
Answer:
1000
Step-by-step explanation!
The formula for the amount accrued [ƒ(x)] on an investment earning compound interest is f(t) = P(1 + r)^t where:
P = the amount of money invested (the principal)
r = the interest rate per payment period expressed as a decimal fraction
t = the number of periods
Your formula is
f(x) = 1000(1 + 0.05)^x
In comparison, we can see that the term that represents the amount of money originally invested is 1000.
Answer:
Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So 
.
We have the equation:
Make the above replacement:
Since cotangent has period 180 degrees, we can also write this as:
So solving the following will give us a set of solutions for 
:
Add on both sides:
Subtract 10 on both sides:
Divide both sides by 2:
Symmetric property:
