Answer:
x = variable
3 = coefficient
1 = constant
3x^2-4x+1 = algebraic expression
2 = degree
Step-by-step explanation:
variables are typically the letters in equations (usually x and y)
coefficients are the numbers attached to the variables
constants don't have any variables attached
algebraic expressions are the full expression
degrees are the small numbers in the top right corners on either constants, variables or coefficients
Hope this helps!
Y - y1 = m(x-x1)
y - 7 = -3/2(x + 6)
Answer:
Lateral: 560
Surface Area: 
Step-by-step explanation:
Well, we know that the lateral area is just the surface area subtracted by the hexagon base of the figure. Thus, if we (1) find the area of one of the triangular faces and multiply by 6, we get the lateral area. And then, if we (2) add the area of the hexagonal base, we get the surface area.
Let's do (1) first to get the lateral area
They mention that the base of one of the triangular faces is 8 and its height (which is the slant height) is 20. So the area is simply 20 * 8/2 = 80
Then, we multiply by 6 because there are 6 of these triangles and get 560
So the lateral area is 560
Let's do (2) next to find the surface area
If we add the area of the hexagonal base to 560, we obtain the surface area
The hexagon is a regular hexagon with a length of 8. Now, the area of a hexagon
where
is the side. We can obtain this formula if we separate the hexagon into 6 equilateral triangles.
Plugging in 8 for
we get 
So the surface area is 
Answer: The minimum score a person must have to qualify for the society = 147.4
Step-by-step explanation:
Let X be the test scores.
As per given,
X is normally distributed.
Mean 


The minimum score a person must have to qualify for the society = 147.4
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
First equation
x + y = 86
This says that the total sold hot dogs and lemonades add up to 86 sold.
Second equation
2x + 5y = 330
This says that $2 for each lemonade, $5 for each hot dog. The total amount earned is $330.
Only these two equations are true and needed.