Answer:
(-1,-5)
Step-by-step explanation:
So we have the system:
y=3x-2
x-y=4.
We are asked to use substitution. Luckily, it is already setup for this because one of the equations has one of the variables solved for, namely the y=3x-2 equation. We are going to insert y=3x-2 into x-y=4 and solve for x.
x-y=4 (with y=(3x-2) ):
x-(3x-2)=4
Distribute:
x-3x+2=4
Combine like terms:
-2x+2=4
Subtract 2 on both sides:
-2x =2
Divide both sides by -2:
x =-1
Now if y=3x-2 and x=-1, then y=3(-1)-2=-3-2=-5.
So the solution is (-1,-5).
Hello!
Use the equation F = m · a to solve where:
F = total force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the force and mass, so we can plug these values into the equation to solve.
However, mass is used in kilograms, so we must convert from grams to kilograms:
1 kg = 1000 grams
Convert using dimensional analysis or proportions:
Plug in the force and mass to solve:
6.5 = 0.5(a)
Divide both sides by 0.5 (Multiply by 2)
a = 13 m/s²
Madison created two functions.For Function A, the value of y is two less than four times the value of x.
The table below represents Function B.
-3,-9
-1,5
1,-1
3,3
In comparing the rates of change, which statement about Function A and Function B is true?
A.
Function A and Function B have the same rate of change.
B.
Function A has a greater rate of change than Function B has.
C.
Function A and Function B both have negative rates of change.
D.
Function A has a negative rate of change and Function B has a positive rate of change.
C is correct
Answer:
c
Step-by-step explanation:
yea im so gud at math ikr