Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)
A = L * W
L = 3x + 5
W = x - 2
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x^2 - 6x + 5x - 10
A = 3x^2 - x - 10 <====
Weads good for you. NO CARCINOGENS.
Answer:
Option A - The number of visitors is multiplied by (1+r) each year
Step-by-step explanation:
Given : The number of visitors to an art museum increases each year. The function V(t)=N(1+r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
To find : Select the correct statement?
Solution :
We have given an exponential function,
The function V(t)=N(1+r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.
As In year 0,
The initial visitors is V(t)=N(1+r)^0=N
In year 1,
V(t)=N(1+r)^1=N(1+r)
In year 2,
V(t)=N(1+r)^2
So, According to this the number of visors is multiplied by (1+r) each year.
Therefore, Option A is correct.
Answer:
2.21 times 10 to the 21 power or 2.21^20
Step-by-step explanation: