Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= - 4x² - 6x - 1 + (- x² - 5x + 3) ← remove parenthesis
= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms
= - 5x² - 11x + 2 → C
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
Answer:
(B)(negative 2) (4)
Step-by-step explanation:
The arrow on the number line ended at negative 8 (-8).
Given the options:
(A) (negative 3) (4) =(-3)(4)=-12
(B)(negative 2) (4) =(-2)(4)=-8
(C) (2)(4)=8
(D)(3)(4)=12
The expected product is -8 since that is where the arrow ended. Therefore, the product that is modeled by the number line is that which gives a result of -8. The correct option is B.
(B)(negative 2) (4) =(-2)(4)=-8
Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere = 
Where r = radius of the sphere = 
units
36π = 
36π = 
36×24 = 4x³
x = ![\sqrt[3]{\frac{36\times 24}{4} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B36%5Ctimes%2024%7D%7B4%7D%20%7D)
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
