Answer:
y= x-3
Step-by-step explanation:
The points are ;(0, -3), (5,2), (7,4), (10,7).
Plot the coordinates on a graph tool to visualize the graph
Select two points to find the slope ; take point (5,2) and (10,7)
m=Δy/Δx
Δy = 7-2=5
Δx=10-5 = 5
m=5/5 =1
The equation of the graph will be;
m= Δy/Δx
1=y-4/x-7
x-7 = y-4
x-7+4=y
x-3=y
y= x-3
Answer:
180
Step-by-step explanation:
guessed the answer
that was the easiest
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Let C be the number of cats of the superhero. With this, the number of cats of nemesis have is 3C/4 + 7. The numbers should be equal such that,
C = 3C/4 + 7
The value of C from the equation is 28. Thus, the number of cats of the nemesis is 28.
Answer: 287
Step-by-step explanation:
