Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
y= -x
Step-by-step explanation:
<u>slope- intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -1, m= -1.
Substitute m= -1 into the equation:
y= -x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 2, y= -2,
-2= -2 +c
c= -2 +2
c= 0
Thus, the equation of the line is y= -x.
Answer:
Option D.
Step-by-step explanation:
We need to find the solution to the system graphed below.
If a system of equation have 2 linear equation then the intersection point of both lines lines is the solution of the system of equations.
In the given graph two straight lines intersect each other at (-1,-1).
Point of intersection = (-1,-1)
So, by using the given graph we can conclude that the solution of given system of equations is (-1,-1).
Therefore, the correct option is D.
step-by-step explanation: the increase = 204 - 120
increase = 84
percent increase = 84/120
percent increase = 70% so of course the percentage is 70% ( I hope this helps you )
Remember the order of operations.
Dividing fractions means multiplying a reciprocal.
3÷1/3=3×3/1=9
9-9+1=1
1 is your answer.
:)
