Answer:
Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.
Now simplify the exponent of 4 using rule 6.
Answer:
The slope is -
and the y intercept is 2.
Step-by-step explanation:
So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is 
.
Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair 
, although people usually write the number.
I hope this was helpful. Good luck!
See the blue dot in the attached image.
First, find the x value on the coordinate plane. The x value is the first number in the point coordinates, so in this case, it is 4. Move to the right 4. (If it was negative, you would move to the left.)
Then, find the y value, which is the second number of the coordinates. In this case, it is -1, so move down 1. (If it was positive, you’d move up.)
Now, mark this point. This is (4, -1).
We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85
The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994
The price per unit is $20.99 and the answer is letter "D".
F=95(K−273.15)+32
Switch the equation so that F is on the right side:
95(K−273.15)+32 = F
Use the distributive property:
95K + 95(-273.15) + 32 = F
95K - 25949.25 + 32 = F
95K - 25917.25 = F
Add 25917.25 to both sides:
95K = 25917.25 + F
Divide each term by 95:
K = 25917.25 / 95 + F/95
K = (25917.25 + F) /95
