Answer:
The Function rule for line is: 
Option A is correct option.
Step-by-step explanation:
Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
The function rule is of form: 
where m is slope and b is y-intercept
Finding slope:
The formula used to find slope is: 
We have 
Putting values and finding slope
Finding y-intercept
We will use point(0,0) to find y-intercept
So, y-intercept is 0
The Function rule for line having slope m=-13/5 and y-intercept b=0:
So, The Function rule for line is:
Option A is correct option.
well Y is the amount of water so Y is 600,000 and X is amount of time so it should say something like 600,000x meaning 600,000 water in x minutes. answer is B i think
Answer:
45
Step-by-step explanation:
Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.
m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1
The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.
m(arc)EVL + m(arc)EHL = 360
m(arc)EVL = 360 - m(arc)EHL Eq. 2
We are given this:
m<EYL = (1/3)m(arc)EHL Eq. 3
Substitute equations 2 and 3 into equation 1.
(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]
Now we have a single unknown, m(arc)EHL, so we solve for it.
2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]
2m(arc)EHL = 1080 - 6m(arc)EHL
8m(arc)EHL = 1080
m(arc)EHL = 135
Substitute the arc measure just found in Equation 3.
m<EYL = (1/3)m(arc)EHL
m<EYL = (1/3)(135)
m<EYL = 45
Answer:
g(f(x)) = 3.15x
Step-by-step explanation:
To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.
If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,
g(f(x)) = 90 (0.035x)
g(f(x)) = 3.15x
THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.
Answer:
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.
Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative
It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.
Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)
