Our goal is to fit the given information into the slope-intercept form.
y=mx+b
We can place the slope in 'm.'
y= -7x+b
Then, input the values for the x and y.
2= -7(-5)+b
2=35+b
b=2-35
b= -33
'b' is the intercept, so now that we know that, we can plug in all the values and find our final equation.
y= -7x -33
Answer:
10.2 gallons
Step-by-step explanation:
Luke buys $14.35 worth of gasoline for his car
The gas station sells at $1.409 per liter
Therefore the number of gallons that luke buys can be calculated as follows
= 14.35/1.409
= 10.2 gallons
Answer:
Answer of 17 is ㏒(
+15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5
Step-by-step explanation:
17. ㏒x + ㏒(x+15)
Using property ㏒a + ㏒b = ㏒a×b
∴ ㏒x + ㏒(x+15)
㏒x×(x+15)
㏒(+15x)
The answer is ㏒(+15x)
33. 2^(x-5) = 8
2^(x-5) = 2^3
Using property 2^a = 2^b
Then a = b
∴x-5 = 3
x = 8
The answer is x = 8
35. 2^x = 10
Taking log on both sides gives
㏒2^x = ㏒10
x×㏒2 = ㏒10
x = ㏒10/㏒2
The answer is x = ㏒10/㏒2
37. 8^-x = 12
Taking log on both sides gives
㏒8^-x = ㏒12
-x×㏒8 = ㏒12
x = -㏒12/㏒8
The answer is x = -㏒12/㏒8
39. 5(2^3 × x) = 8
5(8×x) = 8
x = 5
The answer is x=5
square
Step-by-step explanation:
the 5th hour there would be 4 puppies available for adoption
The 6th hour would have 2 puppies available for adoption
these answers are only correct if the ratio stays the same
