x is the independent variable.
y is the dependent variable.
-3 is the rate of change (slope).
-7 is the initial value.
Step-by-step explanation:
The form of the linear relation is y = m x + b, where
- m is the rate of change (slope)
- b is the initial value(value of y at x = 0)
- x is the independent variable
- y is the dependent variable
∵ The equation of the line is y = -3 x - 7
- Compare it with the form above
∴ m = -3
∵ m is the rate of change
∴ The rate of change is -3
∴ b = -7
∵ b is the initial value
∴ The initial value is -7
∵ y depends on x
∴ x is the independent variable
∴ y is the dependent variable
x is the independent variable.
y is the dependent variable.
-3 is the rate of change (slope)
-7 is the initial value.
Learn more:
You can learn more about the linear equations in brainly.com/question/4152194
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3x-16x-24=-12x-30
-13x+12x=-30+24
-x=-6 /*(-1)
x=6
Answer:
r = -4
Step-by-step explanation:
If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.
This creates the equation 1-8r=13-5r.
Now it's just simple algebra.
You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.
Checking our answer, you see that 1-8(-4)=1-(-32)=1+32=33, and 13-5(-4)=13-(-20)=13+20=33.
Answer:
- 1) 4812 students
- 2) 763 pounds
- 3) $30906.76
Step-by-step explanation:
1)
- Initial number = 2988
- Rate of increase = 10%
<u>Number of students after 6 years:</u>
2)
- Initial number = 1200
- Rate of decrease = 14%
<u>Amount of gold after 4 years:</u>
3)
- Initial number = 28000
- Rate of increase = 2.5%
a)
<u>Salary after n years:</u>
b)
<u>Salary in the 5th year:</u>
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
