Answer:
(x + 2) is a factor of f(x)
Step-by-step explanation:
Using the remainder theorem to divide f(x) by (x - h)
Evaluate f(h) and if equal to 0 then (x - h) is a factor
f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0
f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0
f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0
f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0
Hence (x + 2) is a factor of f(x)
Ishaan to have a score of 97 on the next exam have an overall average of 85
What is the mean of exam scores?
The mean of exam scores is the sum of the scores divided by the number of exams taken, more like an average of all scores
Initially, average score on 4 exams is 82
average=total score/number of exams
average score on 4 exams=82
total score =unknown=assume it is
number of exams=4
82=x/4
x=4*82
x=328
In order to have an overall average score of 85, we would sum the total score of 4 exams and the fifth exam and divide by 5 exams
85=(328+y)/5
85*5=328+y
425=328+y
y=425-328
y=97
Find out more about average on:brainly.com/question/20118982
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Answer:
Distance swam by Sonya in 3 weeks = 19740 m
Step-by-step explanation:
To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks.
Number of days in 1 week = 7
Number of weeks she swam = 3
Total number of days she swam = 3 x 7 = 21 days
Distance swam per day = 0.94 km
Total distance swam = Total number of days she swam x Distance swam per day
Total distance swam = 21 x 0.94 = 19.74 km = 19.74 x 1000 m = 19740 m
Distance swam by Sonya in 3 weeks = 19740 m
rate = distance / time Ok, part a is correct, try writing the answer as 2/5
rate = 2/5 = 0.4 in/s
rate = 0.4 in/s
Hi, I'm here is just that the pictures are small, I'm trying to read them
b)
Please upload a picture of part b like the last picture you sent of part a
2/5 = x/ 15
x = 15 x 2 / 5
x = 30/5
x = 6 inches
The result is 6