Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
10
Step-by-step explanation:
<h3>
Answer: 120</h3>
=============================================
Explanation:
S = sum of the first four values
S/4 = 70 since we divide the sum by 4 to get the mean of the first four values
S = 280 is the result after multiplying both sides by 4
Let x be the fifth unknown value. Adding it onto S leads to S+x = 280+x. This represents the sum of all five values.
Dividing that sum 280+x over 5 leads to the new mean 80, which leads to...
----------
(280+x)/5 = 80
280+x = 5*80
x+280 = 400
x = 400-280
x = 120
The fifth number is 120
(x^3-4x^2)(4x-16)
x^2 (x-4) × 4 (x-4)
4x^2(x-4)
Answer: h = 70ft
Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:
h = 70
<u>After 2s, the football reached a height of </u><u>70 feet</u><u>.</u>