Answer:
Our equation is:
y = f(x) = 2.5*x
The domain is the set of the values of x.
The range is the set of the values of y.
They must sell between 55 and 60 candy grams to meet their goal.
If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.
Then the domain is:
D: 55 ≤ x ≤ 60.
Now that we know the domain, we can find the range.
As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:
y = 2.5*55 = 137.5
And the maximum will coincide with the maximum in the domain:
y = 2.5*60 = 150.
Then the range is:
y = 137.5 ≤ y ≤ 150
Answer:
UV = 4.5 (not rounded)
TV = 3√3
m∠U = 60˚
Step-by-step explanation:
UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.
sin(30) = 9/UV
9sin(30) = UV
4.5 = UV
TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.
tan(30) = 9/TV
9tan(30) = TV
3√3 = TV
m∠U = Sum of all interior angles of a triangle is 180˚:
90˚ + 30˚ = 120˚
180˚ - 120˚ = 60˚
Hope this helps :)
Answer:
12x+4
Step-by-step explanation:
To find the perimeter of any shape you just have to take the sum of all the sides.
In this case you would write:
4x+2 (side 1) +2x (side 2) +4x+2 (side 3) +2x (side 4)
Now you just have to simplify the expression which would give you:
12x+4 (after collecting like terms)
So the final answer will be 12x+4
Answer:
I think it's choice B and D
Step-by-step explanation:
they both are a straight line and would both have a slope of zero. between point A and D is a slope obviously but D and F would not be the same slope because the line gets steeper. that's how I look at it. I'm pretty sure that's it.
