Given inequality -3(4-6x) < x+5.
We have -3 in front of Parenthesis.
That represents multiplication of -3 and Parenthesis.
The multiplication of Parenthesis could be done by applying distributive property.
On distributing, we get
-12+18x < x+5
x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17
x<1.
Associative property of addition represents this equation:
a + b = b + a
So, how would it be helpful with this given equation?
=> 48 + 82
=> Let's start with the ones place value.
(2 + 8) = 10, bring down 0, carry 1 then ( 4 + 8) = 12 + 1 = 13
So the answer is 130.
If we are going to do it vice versa, still expect that the same answer will occur.
Slope=rise/run
slope=(y2-y1)/(x2-x1) if you have the points
(x1,y1) and (x2,y2)
we have the points (-1,3) and (4,-7)
x1=-1
y1=3
x2=4
y2=-7
slope=(-7-3)/(4-(-1))=-10/5=-2
answer is D
10 minutes I'm pretty sure. My calculations may be off but at least I tried
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
