Answer:
y = −55x + 275
The initial value is 5
Mike's distance from home when he begins cycling
Step-by-step explanation:
The equation of a line is
y= mx+b where m is the slope and b is the y intercept
The y intercept is 275
Two points are (0,275) and (5,0)
The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55
y = -55x+275
The initial value is when x = 0
When x = 0 , y = 5
y = 12-2x
Rewriting
y = -2x+12
This is in the form y = mx +b where the slope is -2 and the y intercept is 12
12 is the initial value or when x = 0. It would be the distance that he needs to cover. He needs to go from the library to his house.
Answer:
It would be 2
Step-by-step explanation:
Since they are looking for only 1 significant fig. you would round the number that would make this correct, for example:
You would look at 1.7 and ignore the others...
7 is greater than 5 so it'll affect the 1
And that how you get 2 : )
Explanation:
The function is given below as

The set of domains is given below as

Step 1:
Put x=-1

Step 2:
Put x=0

Step 3:
Put x=1

Step 4:
Put x=2

Hence,
The range of g(x) using set notation will be

Hence,
The graph of g(x) is given below as
Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.