Answer:
slope= -1/5 y intercept 3
Step-by-step explanation:
(0,4) and (-5,5) can be rewriten as 5-4/-5-0, which equals -1/5. Then, you plug the numbers into the equation y= mx+b to get -4=-1/5(5)+b. That gets 3.
5 minus 3 1/3 is 1 2/3
step one: turn into improper fractions
15/3 minus 10/3
step two : answer
15/3 minus 10/3 = 5/3 =1 2/3
Answer:
Step-by-step explanation:
Let x be gallons of 7%
Let y be gallons of 3%
364 = x + y
y = 364 - x
364(0.06) = x(0.07) + y(0.03)
364(6) = x(7) + y(3)
364(6) = 7x + 3y
364(6) = 7x + 3(364 - x)
364(6 - 3) = 7x - 3x
364(3) = 4x
x = 273
y = 364 - 273 = 91
273 gallons of 7%
91 gallons of 3%
Answer:
The solution to the system of equations be:
x = 2, y = 4
Step-by-step explanation:
Given the system of equation
y - 2 = x
y = 3x - 2
substitute y = 3x - 2 in the equation y - 2 = x
y - 2 = x
(3x - 2) - 2 = x
3x -2 -2 = x
3x - 4 = x
add 4 from both sides
3x - 4 + 4 = x + 4
3x = x + 4
subtract x from both sides
3x - x = x + 4 - x
3x - x = 4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
For y = 3x - 2, plug in x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
Therefore, the solution to the system of equations be:
x = 2, y = 4
Answer:
recursive:
a(1)=7 a(n)=a(n-1)-3
explicit:
a(n)=7-3(n-1)
Step-by-step explanation:
for recursive you use a(n)=a(n-1) and then whatever the sequence is. Since yours goes down by 3, it would be -3 at the end.
For explicit, you use a(n)= first number in sequence+the difference in the sequence(n-1)
