Hi there!
• f(x) = 3x + 1
• g(x) = x² - 6
Then,
According to th' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
Hence,
Option 2ⁿᵈ : -x² + 3x + 7 is Correct.
~ Hope it helps!
Answer:
the possible line of best fit equation is;
y = 10x + 24
Step-by-step explanation:
Here, we want to get the approximate line of best fit
Mathematically, we have the general line of best fit as
y = mx + b
where m is the slope and b is the y-intercept
By joining the given lines, we can see that the y-intercept values fall a little below 30
This means that the possible y-intercept value is 24
Now, to get the slope value, we select any two points and use the slope equation
We can have (3,50) and (6,80)
Using the slope equation;
m = (y2-y1)/(x2-x1) = (80-50)/(6-3) = 30/3 = 10
The equation is thus;
y = 10x + 24
Answer:
You did not provide an image for the graph, but the graph that would represent your function would look like this:
Answer:
A) Slope =
explanation:
Take 2 random points off the line, I used (4,1) & (8,2)
The formula to find the slope when given 2 points is
so in this case x1 & y1 are assigned to (4,1)
and x2 & y2 are assigned to (8,2)
so substitute the numbers into the formula and solve !
this will result in the answer I got above!!
B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals
C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!
A=30
Multiply base times height and then divide by 1/2
(3 3/4)(4)=15
15/(1/2) = 30
