Answer:
1. C. Yes, because a sum of cubes can be factored
2a. false
2b. false
2c. true
2d. false (based on what is written in the equation; refer to step-by-step)
Step-by-step explanation:
1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)
2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2
2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)
2c. You can factor using the perfect square rule, making it (a+b)^2
2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)
Answer:
40
Step-by-step explanation:
8 and 5 are factors of 40. (8 x 5 = 40)
C. f(x) = – 2 cos 6x + 1
Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).
Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.
Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
<h3>How to determine the actual area of Julio's kitchen?</h3>
The parameters are given as:
- Length = 4.5 inches
- Width = 3.375 inches
Start by converting the dimensions to feet using the scale ratio
- Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feet
- Actual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feet
The area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
Read more about scale drawings at:
brainly.com/question/8975579
Answer:
3(n+7)-6=2n+10+n
Step-by-step explanation:
