Hey there! I'm happy to help!
The linear equation with m and b is called the slope intercept equation, where m is the slope and b is the y intercept. It is written as y=mx+b.
We see that m is equal to 1 and b is equal to -2. We can write this down as y=1x-2, or just y=x-2 as 1x is just x.
Have a wonderful day! :D
Answer:
A) 8
Step-by-step explanation:
The average of two numbers is 7.
6 and x have an average of 7.
sum of terms / number of terms = average
(6 + x)/2 = 7
6+x = 14
x = 8
The number is 8.
Answer:
A, B and C
Step-by-step explanation:
To determine which ordered pairs are solutions, substitute the x and y coordinates into the system of equations and if the value equals the right side then the ordered pair is a solution
A (6 , 3 )
(3 × 6) - 3 = 18 - 3 = 15 ← correct, and
(6 × 6) - (2 × 3) = 36 - 6 = 30 ← correct
Hence (6, 3 ) is a solution
B (7, 6 )
(3 × 7) - 6 = 21 - 6 = 15 ← correct, and
(6 × 7) - (2 × 6) = 42 - 12 = 30 ← correct
Hence (7, 6 ) is a solution
C (8, 9 )
(3 × 8) - 9 = 24 - 9 = 15 ← correct, and
(6 × 8) - (2 × 9) = 48 - 18 = 30 ← correct
Hence (8, 9 ) is a solution
Answer:
4h+2m−4
Step-by-step explanation:
=(2)(m+2h+−2)
=(2)(m)+(2)(2h)+(2)(−2)
=2m+4h−4
=4h+2m−4
I started out trying to subtract a prime number from 85, and then
see whether I had a prime number remaining. I did this several
times, before I slapped myself upside the head.
-- 85 is an odd number.
-- To get an odd-number for a sum, you have to add one odd number
to one even number ... there's no other way.
-- So one of the prime numbers we're looking for must be
an even number.
-- The ONLY even number that's a prime number is ' 2 '.
So it must be one of them.
-- Subtract 2 from 85, and you have 83 left.
Is 83 a prime number ? Yes.
-- So the two numbers are 2 and 83.
If 83 were not a prime number, this wouldn't work, and I would have said
"There is no such pair of numbers.". That means it doesn't necessarily work
for every odd number.
Examples:
75 ===> 2 and 73 . \
55 ===> 2 and 53 . \
45 ===> 2 and 43 . \
Both primes. It works.
65 ===> 2 and 63 . 63 is not a prime. \
35 ===> 2 and 33 . 33 in not a prime. \
It doesn't work.
