Answer:
t(d(n)) = 12n + 7
Step-by-step explanation:
- t(d) = 3d + 1
- d(n) = 4n + 2
<u>t(d(n)) = t(4n + 2) </u>
Substitute the function d(n) into the function t(d) for the variable d.
t(4n + 2) = 3(4n + 2) + 1
t(d(n)) = 12n + 7
Using a system of equations, it is found that:
- Each individual notebook costs $2.75.
- A package of pencils costs $1.25.
- Each individual marker costs $0.5.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- n is the price of a notebook.
- p is the price of a package of pencils.
- m is the price of marker.
From Stan's purchases, we have that:
From Jan's purchases, we have that:
From Fran's purchases, we have that:
From the third equation:
Replacing on the first:
On the second equation, we have that:
Finally:
Then:
- Each individual notebook costs $2.75.
- A package of pencils costs $1.25.
- Each individual marker costs $0.5.
To learn more about system of equations, you can take a look at brainly.com/question/24342899
Answer:
Step-by-step explanation:
3.14 x 6=18.84^2=354.94
Answer: The answer is -3
Step-by-step explanation:
g(x)=kf(x)
g(-3)=kf(-3)
To solve this for k we will need to find the values for both g(-3) and f(-3).
g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.
g(-3)=-3
f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.
f(-3)=1
So our equation becomes:
g(-3)=kf(-3)
-3=k(1)
-3=k
So k=-3.
Yes. Because miles and kilometers are units of distance measurements. They have a fixed ratio, hence, there will always be a constant linear relationship between them. Or a constant slope. One mile is approximately 1.61 kilometers. So, just multiply any measurement of mile with 1.61 to get the distance in km.