The value a = 4 will always yield a correct answer.
We know this by solving for a. If we do this, we will get the number needed.
a(x + 3) < 5x + 15 - x -----> simplify like terms
a(x + 3) < 4x + 15 -----> divide by x + 3
a < 4 + 3/(x + 3)
Since a is less than 4 plus a number, we know that a will always be less than 4. So we can use 4 as the number for all real solution.
Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
<u>Step-by-step explanation:</u>
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
Answer:
see explanation
Step-by-step explanation:
y = ax + b is the equation in slope- intercept form
where a is the slope of the line and b is the y- intercept
To find a use the slope formula
a = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (1, - 2)
a = 
= - 
= - 0.75, hence
y = - 0.75 + b
To find b substitute either of the 2 points into the equation
using (1, - 2), then
- 2 = - 0.75 + b ⇒ b = - 2 + 0.75 = - 1.25 = - 1 
Answer:
each person will decorate 2 hallways by themselves and one hallway they will do together. If you want it to be fair.
Step-by-step explanation:
Answer:
Mean age = 1271.27
Step-by-step explanation:
No of children = 77
The age at which children first began to combine words = 16.51 months
Mean age = No of children × age at which children first began to combine words
= 77 × 16.51
= 1271.27
Mean age = 1271.27
