Answer:
M(t) = M(16 - 2·t)
Step-by-step explanation:
The function is just formed by using the concept of composite functions.
B is cups of blueberries, and n is cups of blueberries,
So by substituting values the required equations formed are given by :
B(t) = 2·(8 - t)
M(n) = 12·n
n = B(t)
M(t) = M(n)
= M(B(t))
= M(2·(8 - t))
= M(16 - 2·t)
Therefore, this is the required function muffins M
Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
AB = CD = √8 ≈ 2.8 units
BC = AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = 3.92 units²
Perimeter of the rectangle ABCD = 8.4 units
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Given the coordinates of vertices of rectangle ABCD as:
- A(0,2)
- B(2,4)
- C(3,3)
- D(1,1)
To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.
Using the distance formula, we have the following:
AB = √[(2−0)² + (4−2)²]
AB = √[(2)² + (2)²]
AB = √8 ≈ 2.8 units
CD = √8 ≈ 2.8 units
BC = √[(2−3)² + (4−3)²]
BC = √[(−1)² + (1)²]
BC = √2 ≈ 1.4 units
AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²
Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units
Learn more about the area and perimeter of rectangle on:
brainly.com/question/24571594
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Answer:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
Step-by-step explanation:
Domain (x): (-∞ , -1) ∪ (-1 , 3) ∪ (3 , ∞)
Range (y): (3 , ∞) ∪ (-∞ , ∞) ∪ (-∞ , 3) -> (-∞ , ∞)
