the answer is b because x is greater than or equal to 0
STEP 1:
identify variables and equations
x= larger number
y= smaller number
FIRST EQUATION
x + y= 42
SECOND EQUATION
y= 2x - 63
STEP 2:
substitute the y value in second equation in for y in first equation
x + y= 42
substitute y value from 2nd equation
x + (2x - 63)= 42
combine like terms
3x - 63= 42
add 63 to both sides
3x= 105
divide both sides by 3
x= 35 larger number
STEP 3:
find y value; substitute step 2 x value into either original equation
x + y= 42
35 + y= 42
subtract 35 from both sides
y= 7 smaller number
ANSWER: larger number is x= 35; smaller number is y= 7.
Hope this helps! :)
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
Answer: the y intercept is 330. the rate of change is -55. the domain is infinity since it is linear i'm pretty sure
Step-by-step explanation:
