4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Answer:
a) 2x+3
b) 5x-7
c) 2x-10
d) 3x/2
Step-by-step explanation:
the number considered is x
14 volunteers will not be able to help.
Step-by-step explanation:
According to given statement;
One booth requires 3 Volunteers.
No. of booths = 16
Given number of volunteers = 62
We will multiply total number of booths with 3 to find the number of volunteers required.
Volunteers required = No. of booths x 3
Volunteers required = 
Volunteers required = 48
Subtract the required volunteers from total volunteers;
14 volunteers will not be able to help.
Keywords: Subtraction, Multiplication.
Learn more about subtraction at:
#LearnwithBrainly
Answer:
A) length = 9cm, width = 4 cm
Step-by-step explanation:
The key word "times" refers to multiplication, so if you're trying to find dimensions at 1/4 times its original size, you need to multiply the original dimensions by 1/4.
l = 36
new l = 36 (1/4)
= 36/4
= 9 cm
w = 16
new w = 16 (1/4)
= 16/4
= 4 cm
