Answer:
C. 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1
Step-by-step explanation:
f(x) = 8x^3 + 16x^2 − 15
g(x) = 2x + 1.
f(x) / g(x) = (8x^3 + 16x^2 − 15) / (2x + 1)
Using long division
The length of one side of his bedroom would be 16 feet.
The formula for area of a square is length x width and all four sides of a square are equal in length.
In this case 16x16 is equal to 256
Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
A. The circumference of the circle:
C = 2 π r = 2 * 3.14 * 8 = 50.24 cm
B. The area of the circle:
A = π r² = 3.14 * 8² = 200.96 cm²
C. The area of the square:
Let's calculate first the side of the square. It is equal to 2r = 2*8=16 cm
The area of the square is:
16*16 = 256 cm²
Hope that helps.
Be more specific on the first one
