a. Answer: D: (∞, ∞)
R: (-∞, ∞)
<u>Step-by-step explanation:</u>
Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).
Theoretical range is the range of the equation given the domain.
c(p) = 25p
There are no restrictions on the p so the theoretical domain is All Real Numbers.
Multiplying 25 by All Real Numbers results in the range being All Real Numbers.
a) D: (∞, ∞)
R: (-∞, ∞)
*********************************************************************************
b. Answer: D: (0, 200)
R: (0, 5000)
<u>Step-by-step explanation:</u>
Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.
Practical range is the range of the equation given the practical values of the domain.
The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200
The range is 25p → (25)0 ≤ (25)p ≤ (25)200
→ 0 ≤ 25p ≤ 5000
b) D: (0, 200)
R: (0, 5000)
Answer:
1465.1 cm²
Step-by-step explanation:
El espejo en forma de diamante tiene la forma de rombo
Tenga en cuenta que: las diagonales del rombo tienen las mismas medidas de esos lados
Por lo tanto, el área del espejo se calcula como:
1/2 × Diagonal 1 × Diagonal 2
Diagonal 1 = 80.5 cm
Diagonal 2 = 36.4 cm
= 1/2 × 80.5 cm × 36.4 cm
= 2930.2 cm² / 2
= 1465.1 cm²
Por tanto, el área del espejo es 1465.1 cm².
Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object <u>turns</u> the object around a <u>fixed point</u> called the center of rotation.
A <u>rotation</u> of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
Learn more about transformations here:
brainly.com/question/27013652
brainly.com/question/28225350
Answer:
3/4
Step-by-step explanation:
Use slope formula y2-y1 over x2-x1
9-3=6
5--3 becomes 5+3 which equals 8
so 6/8
which when simplified is 3/4.