Given:
f(1) = 1 and f(-3) = 17
To find:
The lines function f.
Solution:
If f(a) = b, it means the function f passes through (a,b).
Here, f(1) = 1, it means the function f passes through (1,1).
f(-3) = 17, it means the function f passes through (-3,17).
If a linear function passes through two point 
, then the equation of line is
The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is
Add 1 on both sides.
Put y=f(x), to write in function notation.
Therefore, required lines function is .
Answer:
Adriana= $960
Tania= $1080
Step-by-step explanation:
Please see the attached pictures for the full solution.
• Do note that you could also use 'x' or other variables to represent the amount of money either Adriana or Tania brought for shopping. A unit was used in this case since I used model method to represent the given situation.
This is the volume of the sphere & is not at all a linear function.
A linear function of the form of y=kx (k is a given number/coefficient) where
y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient =k =4/3(π), if r increase by 2 units v will increase by 2³ =8 & for r = 3, v increase by 3³ =27.
In short v increases quicker than r. No it's not a linear function
Answer:
B
Step-by-step explanation:
Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.
Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B
where L is the length and B is the breadth
our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle
So, let’s say the sides measure 5 inches by 4 inches
Enlarging these by a factor of 6, we have 30 inches by 24 inches
The new area of the rectangle would thus be ;
30 inches * 24 inches = 720 inches^2
Answer:
1
Step-by-step explanation:
The slope of the line is 1. To find slope use the formula 
, this calculates the change in y over the change in x. So plug in the known values 
, this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.
