Answer:
For A. it would be 9, 18, 27, 36, 45, 54
For B. it would be 12, 24, 36, 48, 60, 72
For C. it would be 36
For D. it would be 3
Step-by-step explanation:
Hope this helps
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
Answer:
8x² + 11x - 9
Step-by-step explanation:
M - N
= 5x² + 7x - 4 - 1(- 3x² - 4x + 5) ← distribute parenthesis by - 1
= 5x² + 7x - 4 + 3x² + 4x - 5 ← collect like terms
= 8x² + 11x - 9
Answers: b, d and e
b.The graph has a relative minimum
d. The graph has an x intercept at 3,0
e. the graph has an y intercept at 0,-15
f(x)=(x+5)(x-3)
The given equation is in the form of f(x) = a(x-b)(x-c)
If 'a' is positive then graph has a relative minimum
If 'a' is negative then graph has a relative maximum
Here a=1 that is positive so graph has a relative minimum .
To find x intercept we set f(x) =0 and solve for x
0=(x+5)(x-3)
x+5 =0 -> x = -5 so x intercept is (-5,0)
x - 3=0 -> x= 3 so x intercept is (3,0)
To find y intercept we plug in 0 for x
y=(x+5)(x-3)
y=(0+5)(0-3) = -15
so y intercept is (0,-15)
To solve this problem, I would transfer this word problem into an equation with variables.
let the variable m stand for the amount of movies andrew rents.
5.00+1.25m=16.25
Now that we have our equation, we can just solve it like any other equation.
To do this, first, we would subtract 5.00 from both sides, resulting in the equation
1.25m=11.25
Next, we would divide both sides by 1.25, resulting in your final answer
m=9.
This means that Andrew rented 9 movies if his total was 16.25
