Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
Okay so for the #1 it says that it take 1/2 (half) a day to paint 1/4 of your bedroom and we want to know how many days it would take to paint all of the bedroom, so 4/4 of the bedroom.
We can say that
1/2(number of day) = 1/4(how much you painted)
to paint all of your room you would have to have painted 4/4 of your room
to get to 4/4 i multiplied 1/4 by 4
you do the same thing to 1/2 so 1/2•4=2
So it would take 2 days to paint all (4/4) of your bed room
I dont if im clear but just think about it
If you take half a day to pain 1/4 of your room, in one day you would’ve painted 2/4 of your room, so in one day you paint 2/4 of your room. And in 2 days you paint 4/4 of your room
We need to cross multiply to solve it.
After we cross multiply we get
6x-1 = 3 x 5
6x-1 = 15
6x = 16
x = 16/6
x = 8/3
Hope that helps :D
Answer:
2π/3, 4π/3
Step-by-step explanation:
I interpret your question as asking us to solve the equation
2cos(x) + 1 = 0
2cos(x) = -1
cos(x) = -½x
x = arccos(-½), 0 ≤ x ≤2π
Since the cosine is negative, x must be in the second or third quadrant.
Referring to the unit circle, we find that
x = 2π/3 (120°) or x = 4π/3 (240°)
We will use the ratio and proportion method ( an equation formed with two ratios that are equal) to solve the question “if <span>it takes 18 gallons of gas to go 400 miles, how many gallons would it take to go 300 miles?” </span>
<span>Let x= the number of gallons for the gas to go 300 miles</span>
18:400=X:300
400x=300*18
400x=5400
X=5400/400
<span>X=13.5 so the answer is B.</span>
