Count the same scores and make a list:
There are two 75's
Three 80's
Two 85's
Two 90's and one 100
Now find the chart that has those same values.
The answer would be B.
Answer: 45000
Step-by-step explanation:
From the question, we are informed that Patty buys a new car and gets it appraised every few years and that after owning the car for 3 years, its value is $15,000 and further told that after owning the car for 5 years, its value is $9,000.
Let the number of years be x
Let the value of the car be y.
From the first part of the question, we are told that after owning the car for 3 years, its value is $15,000.
Since an inverse variation will be:
x = k/y
3 = k/15000
k = 15000 × 3
k = 45000
Let's confirm the value of k for the second part of the question. After owning the car for 5 years, its value is $9,000. Here, x=5 and y = 9000
x = k/y
x = 45000/9000
x = 5
It's correct.
Therefore, the constant of proportionality is 45000
Answer:
The equation is ;
4x - y = 13
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from what we are given, let us write the second equation in the general form
x + 4y = 10
4y = -x + 20
y = -1/4x + 20/4
y = -1/4x + 5
mathematically, when two lines are perpendicular, the product of their slope is -1
So for the second line with slope m2
m2 * -1/4 = -1
m2 = 4
So, using the general form, we have the equation as;
y = 4x + b
To get the value of b, we substitute the coordinates of the given point (3,-1)
-1 = 4(3) + b
-1 = 12 + b
b = -1-12
b = -13
So the equation is;
y = 4x - 13 which can be rewritten as;
4x-y = 13
Answer:
Many solutions
Step-by-step explanation:
5 ( n - 2 ) = 5n - 10
5 ( n ) + 5 ( - 2 ) = 5n - 10
5n - 10 = 5n - 10
The value of n can be any number.
So,
this equation has many solutions.
