Your question is not clear. I must guess what you meant. Did you mean "Find the two numbers?"
If so, let the two numbers be m and n. Then mn=60 and m=n-7.
Then (n-7)(n) = 60, or n^2 -7n - 60 = 0. This factors: (n+5)(n-12) = 0
Thus, n = -5 or n = 12.
check: does mn = 60? Does 12*5 = 60? Yes. Is m (which is 5) 7 less than n (which is 12)? Yes.
Note that you could also check to see whether n=-5 and m=n-7=-5-7=-12 is also a solution.
6. The answer is 208
8. The answer is 285
Equations with Independent and Dependent Variables
Common Core Standard: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Dependent variable – is a variable that changes because of the other variable or depends on the other variable
Independent variable –is a variable that is not impacted by other variables
Dependent and independent variables are very common in the real world
Example: Most coaches will say that the longer a player practices a sport the better the player will be at the sport.
o The dependent variable is the player’s ability, as it relies on the length of a practice
o The independent variable is the number of hours the player practices, because the player’s ability does not
impact the amount of time the player practice
Answer:
Step-by-step explanation:
d = 125 {corresponding angles are equal}
e + 125 = 180 {linear pair}
e = 180 - 125
e = 55
f = e {Vertically opposite angles}
f = 55
c = f {corresponding angles are equal}
c = 55
a = c {Vertically opposite angles}
a = 55
b =d {Vertically opposite angles}
b = 125
Answer:
n² + 3
this is the expression
Step-by-step explanation:
