The Number of text messages sent in a month is 1.68 × 
Step-by-step explanation:
Step 1 :
Total number of teenagers in United States = 21 million
Average text messages sent per month = 800
We need to find the number of text messages sent each month
Step 2 :
The number of text messages in a month can be computed by taking the product of the total number of teenagers and average messages sent per month
Therefore
Number of text messages that is sent in a month = 21 million × 800
= 21 × 
× 800
= 168 × = 1.68 ×
Step 3 :
Answer :
The Number of text messages that is sent in a month is 1.68 ×
Answer:
Part 1) The rate of change is 
Part 2) The initial value is 68
Part 3) The function rule to the linear model is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
step 1
Find the slope
take two points from the table
(0,68) and (15,85)
The formula to calculate the slope between two points is equal to
substitute the values
In a linear function , the slope is the same that the rate of change
therefore
The rate of change is
step 2
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the table
For x=0, y=68
therefore
The y-intercept is
The y-intercept is also called the initial value
therefore
The initial value is 68
step 3
Determine the function rule to the linear model
we have
substitute
Try this:
1) area of f-yard is 60*70=4200 feet²;
2) area of b-yard is 10*30=300 feet², according to condition '<span>on half of his back yard' this area should be 0.5*300=150 feet</span>².
3) total: 4200+150=4350 feet².
Answer:
g(x) = | x - 2 | + 10
Step-by-step explanation:
given g(x) then g(x± h ) is a horizontal translation of g(x)
• if h > 0 then a move to the left of h units
• if h < 0 then a move to the right of h units
here the move is 2 units to the right, then
g(x) = | x - 2 |
given g(x) then g(x) + c is a vertical translation of g(x)
• if c > 0 then a move up
• if c < 0 then a move down
here the move is 10 units up , then
g(x) = | x - 2 | + 10
Answer:
Step-by-step explanation:
<u>Use cosine:</u>
- cos = adjacent / hypotenuse
- cos ∠L = KL/JL
- cos 21° = 4/x
- x = 4 / cos 21°
- x = 4.3 (rounded)
