Answer: 11 games
Step-by-step explanation:
With $15,
First step, subtract cost of admission= $5
$15 - $5 = $10
If one game costs $0.85
× games = $10/ $0.85
=11.7
The maximum number of games he can play is 11.
I hope this is clear.
Lets calculate linear equation
assume
y = f(x)= mx +b
now given
f(0) = 2
m×0+b = 2
b = 2
so b = 2
given f(4) = 0.125 = 1/8
m×4 + 2 = 1/8
4m = 1/8-2= -15/8
m = -15 /(8×4) = -15/32
so linear equation is
y = mx + b = -15x/32 + 2
exponential equation is same as you have written
y = 2(0.5)^x
now put values of x in each equation to get value of y
x =0
linear y = -15×0/32+2 = 2
exp y = 2(0.5)^0 = 2×1 = 2
x =1
linear y = -15×1/32+2 = 2-15/32= 49/32
exp y = 2(0.5)^1 = 2×1/2 = 1
x =2
linear y = -15×2/32+2 = 2-30/32= 17/16
exp y = 2(0.5)^2 = 2×1/4 = 0.5
x =3
linear y = -15×3/32+2 = 2-45/32= 19/32
exp y = 2(0.5)^3 = 2×1/8= 0.25
x =4
linear y = -15×4/32+2 = 2-60/32= 4/32 = 0.125
exp y = 2(0.5)^4= 2×1/16 = 1/8= 0.125
Answer:
6
Step-by-step explanation:
FP * PH = GP * EP
If EP = 2, PG = 12, and FP = 4.
Then 4 * PH = 12 * 2
4 * PH = 12 * 2
step 1 simplify
4 * ph = 4PH
12 * 2 = 24
we now have 4PH = 24
step 2 divide each side by 4
4PH / 4 = PH
24 / 4 = 6
we're left with PH = 6
I am a little confused on what you meant, and I'm not sure if its correct. I think he saved $20
Answer:
<u>Part 1</u>
Set B
<u>Part 2</u>
We can use the FOIL method to multiply these expressions:
However, as all the expression are in the format 
, we can use the shortcut: 
<u>Part 3</u>
Using the shortcut to find the products:
<u>Part 4</u>
A new example of a multiplication problem based on the structure of Set B is: 
<u>Part 5</u>
An example of a multiplication problem that would NOT be included in Set B based on its structure is: 
We cannot use the derived Set B shortcut (from part 2) to multiply this expression. Instead, we would have to use a different shortcut of "The Difference of Two Squares" to find the product of this example expression.
