Answer:
180/t = r
Step-by-step explanation:
In this question, we would have to write an equation that represents the scenario given.
We know that the car traveled 180 miles at a constant rate.
We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"
We know that 180 will be our y-variable, since that would be the base of the equation:
180 = ???
And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.
Plug it into the equation:
180 = rt
With this set up, you can find the rate of speed of the car when you know the time.
You would simply solve it as:
180/t = r
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
And we want to find the remainder after it is divided by the binomial:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
The remainder will be 6.
The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10
Answer:
∠A: 98 (Is a vertical angle to the 98 degrees)
∠D: 151 (180-29)
∠H: 29 (Is a vertical angle to the 29 degrees)
∠I: 29
∠J: 151
∠M: 151 (Vert angle to <J)
∠R: 82 (180-98)
Subtract 125,300 from 800,009. From there you find that they made 674,709 in profit.
Answer is 674,709
