Answer:
g(x) = x^2 +1
Step-by-step explanation:
To translate a function up 1 unit, add 1 to its value:
g(x) = f(x) +1 . . . . . . translates f(x) up 1 unit
g(x) = x^2 +1
<h3>The sum expressed in sigma notation is:</h3>
<u><em>Solution:</em></u>
Given that,
11 + 17 + 23 + 29 + 35 + 41
We have to express the sum in sigma notation
Analyse the series
5 + 6(1) = 11
5 + 6(2) = 17
5 + 6(3) = 5 + 18 = 23
5 + 6(4) = 5 + 24 = 29
5 + 6(5) = 5 + 30 = 35
5 + 6(6) = 5 + 36 = 41
<em><u>Thus the series goes on like this:</u></em>
5 + 6(n) , where n = 1 to 6
<em><u>This can be expressed in sigma notation as:</u></em>
<em><u>We can expand the sigma notation and verify the results</u></em>
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
The answer is 70
you can just divide 63 by 0.9 (90%)
you can use proportions to do that