Answer:
Expression representing number of text messages sent on Tuesday = 2x , where x = text messages sent on Monday
Step-by-step explanation:
Let number of messages sent on Monday = x
So, number if messages sent on Tuesday = 2 times x = 2x
Number of texts sent on Wednesday = 12 more than texts sent on Tuesday = 2x + 12
Number of texts sent on Thursday = Half the texts sent on Wednesday = 1/2 (2x + 12) = x + 6
Given:
Consider the given function is:
To find:
The average rate of change of the function over the interval 
.
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
We have,
At 
,
At 
,
Now, the average rate of change of the function f(x) over the interval is:
Therefore, the average rate of change of the function f(x) over the interval is -3.
Q5. 23
Q6. 2.4
Q7. 4.7
Q8. $19.20
Q9. 4.77
Answer:
$4 and $3
Step-by-step explanation:
First, write out the equations as 70x + 29y = 367 and 70x + 45y = 415. Solve by using the elimination method by subtracting 70x from 70x. 45y minus 29y is equal to 16y. 415 minus 367 is 48. Divide 48 by 16, to get y is equal to get y is equal to three. Y represents pepperoni pizzas, so a pepperoni pizza costs $3. Plug a 3 into any equation for y and solve for x. 29 times 3 is 87. 367 minus 87 is 280. 280 divided by 70 is equal to 4, so x is equal to 4.
