Answer:
Subtract 5x from both sides of the equation
-3y = 12 - 5x
Then, divide each term by -3 and simplify.
y = -4 + 5x
------
3
After that, you'll do this
y= 5x
----- - 4
3
Lastly, you put that into slope-intercept form.
y = 5
---- x - 4
3
Let x km/h be the Jim's speed. If the difference in Jim's and John's speeds is 2 km/h, then the John's speed is x+2 km/h.
1. John takes 15 minutes to walk with speed x+2 km/h from school to the bus station, then the distance is 15·(x+2) km.
2. Jim takes 20 minutes to walk with speed x km/h from school to the bus station, then the distance is 20·x km.
3. The distance is the same, so
20x=15(x+2),
20x=15x+30,
20x-15x=30,
5x=30,
x=30:5,
x=6.
Answer: the distance between the station and the school is 6 km.
Answer:
−0.8x+4.8y+16
Step-by-step explanation:
4(0.5x+2.5y−0.7x−1.3y+4)
=(4)(0.5x+2.5y+−0.7x+−1.3y+4)
=(4)(0.5x)+(4)(2.5y)+(4)(−0.7x)+(4)(−1.3y)+(4)(4)
=2x+10y−2.8x−5.2y+16
=−0.8x+4.8y+16
The input value that produces the same output value in both charts is 2. so the correct answer is option D.
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
You are given two functions f (x) = -0.5X +2 and g(x) = 2x - 3
x f(x)
-3 3.5
-2 3
-1 2.5
0 2
1 1.5
2 1
3 0.5
The second table is given below:-
x g(x)
-3
-2
-1
0
1
2
3
We will put the points and will find the value of functions:-
g(-3) = 2(-3) - 3 = -6 -3 = -9
g(-2) = 2 -(-2) -3 = -7
g(-1) = 2( -1) -3 = -3
g(0) = 2 - 0 - 3 = -3
g(1) = 2.1 - 3 = -1
g(2) = 2.2 -3 = 1
g(3) = 2.3 -3 = 3
Hence the second table will be
x g(x)
-3 -9
-2 -7
-1 -5
0 -3
1 -1
2 1
3 3
The input value that produces the same output value in both charts is 2.
To know more about function follow
brainly.com/question/25638609
#SPJ1
Show a picture of the question?
