Answer:
x > - 3
Step-by-step explanation:
Given
3(x + 2) > x ← distribute left side
3x + 6 > x ( subtract x from both sides )
2x + 6 > 0 ( subtract 6 from both sides )
2x > - 6 ( divide both sides by 2 )
x > - 3
Answer:
(0,0), (1,1), (2,2)
Step-by-step explanation:
When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).
In this case:
4x+6y<24 ==> 0 + 0 < 24 TRUE, it satisfies the inequality.
We then try with (1,1):
4x+6y<24 ==> 4 + 6 < 24 TRUE, it satisfies the inequality.
And with (2,2):
4x+6y<24 ==> 8 + 12 < 24 TRUE, it satisfies the inequality.
Answer:
B
Step-by-step explanation:
Set up the equation
z = 
Plug in the numbers to find the value of k
3 = 
12 = 4k
3 = k
Solve to find the value of z
z = 
z = 
z = 48/9
z = 16/3
Answer:
These types of questions are not daunting if you break it down. First look at "Five less than twice the value of a number."
"Twice the value of a number" is simply 2x.
"Five less" is simply -5, so for the first part we have (2x-5)
Next, analyze the second part. "Three times the quantity of four more than one half the number."
Looking at "Three times the quantity" simply means "3 times something".
"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.
So the second part is simply 3(4+x/2).
Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.
2x-5 = 12 + (3/2)x
2x-(3/2)x = 17
x/2 = 17
x=34
Checking the left side, (2x-5) = 2(34) - 5 = 63.
Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.
Answer:
the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.
