Answer:
c
Step-by-step explanation:
got it right
Answer:
<h2>B) one solution</h2>
Step-by-step explanation:
Given the system of equations -4x - 5y = 5 and -0.08x + 0.10y = 0.10, to know the number of solutions the system of equation has, we need to solve for the values of x and y if possible.
-4x - 5y = 5... 1
-0.08x + 0.10y = 0.10... 2
Multiplying equation 2 by 100 will give -8x+10y = 10
The resulting system of equation will be;
-4x - 5y = 5 ...3 * 8
-8x + 10y = 10... 4 * 4
Using the elimination method to solve the equation, multiplying eqn 3 by 8 and eqn 4 by 4 we have;
-32x-40y = 40
-32x+40y = 40
Subtracting both resulting equations to eliminate x will give;
-40y-40y = 0
-80y = 0
y = 0
Substituting y = 0 into equation 3 to get x we have;
-4x-5(0) = 5
-4x = 5
x = -5/4
The solution to the system of equations is (0, -5/4). This shows that the system of equations only <u>has one solution</u>
Answer:
The components form of the vector is:
V = [-3,3]
Step-by-step explanation:
The initial point is V(i) = (-1,2) and the final point V(f) = (-4,5). If we want to get the components form, we just need to subtract each component of the points.
a = -4-(-1) = -4+1 = -3
b = 5-2 = 5-2 = 3
a represents the x-componet and b the y-component of the vector.
Therefore, the components form of the vector is:
V = [a,b]
V = [-3,3]
I hope it helps you!
Answer:
Step-by-step explanation:
x is time in years
f(x) represent the average annual salary in thousand dollars
We are given
The average annual salary of the employees of a company in the Year 2005 was $70,000
We can use exponential formula
Since, time starts from 2005
So, at x=0 , f(x)=70
we can use it
in 2006 the average annual salary was $82,000
So, in x=2006-2005=1
f(x)=82
we can plug it and find b
now, we can plug it back
and we get
Answer:
see explanation
Step-by-step explanation:
Under a counter clockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
P (2, - 1 ) → P' (1, 2 )
Q (5, - 2 ) → Q' (2, 5 )
R (5, - 5 ) → R' (5, 5 )
Plot P', Q', R' and connect them in order