This photo is the explanation
Answer:
a=5, b=-2
Step-by-step explanation:
If you simplify the equation, you get:
3ax +6 -4x -4b - 11x - 14 = 0 =>
3ax - 15x -4b -8 = 0
group together x's and constants:
(3a-15)x -8 -4b = 0
To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2
Answer:
y = 3/4x - 9/8
Then read explanation and see here with 2 coordinates would make
if 3/4 = -6 then 1 = -8
y = -6x + c
-6 / 3/4 + 9/8 / - 0.5 = -2.25
therefore c = -2.25
y = -6x - 2.25
y = -6x - 9/4 and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4
Step-by-step explanation:
C1) (0.5 , -0.75)
C2) ( 1. -3.75)
y = mx + c
-3.75 - - 0.75 / 1 - 0.5 = -3.75 + 0.75 / 0.5
= -3 / 0.5 = m
m = -6
y = -6x + c
then this works given just one coordinate to solve for 1 or 2 sets given points
y - y1 = mx+c
y - - 0.75 = 0.75 (x - x1)
y + 0.75 = 0.75 (x - 0.5)
y + 0.75 = 0.75x - 0.375
y = 0.75 - 0.75 = 0.75x( - 0.375 - 0.75)
y = 0.75x -1.125
y = 3/4x - 9/8 as common denominators of 1125/1000 is 9/8 as we divide by 125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
