3, 12, 48 ... =
3(4)^0, 3(4)^1, 3(4)^2 ... =
3(1), 3(4), 3(16) ....
3, 12, 48 ...
Answer:
Height is 18 inches.
Base is 36 inches.
Step-by-step explanation:
Let the base of the triangular table top be x inches.
The height will be 
x inches.
The area of the triangular table top is 324 inches²
Area of a triangle = × Base × Height
342 inches² = × x × x
= 324
Finding the square root on both sides gives;
= 18
Therefore x (the base) = 36 inches
And (the height) = 18 inches.
Answer:
The balance in two separate bank accounts grows each month at different rates. the growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x 12. in what month is the f(x) balance greater than the g(x) balance?
Answer:
6 months
Answer:
Firstly this is all about luck my predictions is impossible to be accurate
ANyways i think ther are 30 red,10 green and 60 blue
Step-by-step explanation:
7 red marbles, 2 green marbles and 11 blue marbles.
Firstly this is all about luck my predictions is impossible to be accurate
ANyways i think ther are 30 red,10 green and 60 blue
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
