Answer:
D
Step-by-step explanation:
We can solve this particular problem entirely by elimination. First, notice, that our inequality simply says the left side is <em>less than</em> the right, not <em>less than or equal to</em>. If it were less than or equal to the value on the right, it would include all of the points on the boundary line, and we'd indicate this with a solid line. In our situation, the left side is never <em>equal</em> to the right, so we'd use a dotted line to draw our boundary line. Only B and D fit the bill.
So between B and D, which one represents 
? Well, setting the two sides equal to each other, we'd get the equation for a line. If (x, y) is a point on that line, then, what does mean when we say the side with y on it is less than the side with the x on it? It means we'd have to <em>decrease </em>the y value of a point on the line, which would give us a point <em>below </em>the line. So our graph has to show <em>every point below the line 4y + 8 = -3x</em>, and the only answer that represents this situation is D
Answer:
x = 12 and x = -4
Step-by-step explanation:
abs (x-4) = 8
When we have absolute value equations, we get two solutions, one positive and one negative
x-4 = 8 and x-4 = -8
Add 4 to both sides
x-4+4 = 8+4 x-4+4=-8+4
x = 12 and x = -4
The primes in the set [1,10] are 1,2,3,5,7 and the number of elements is 10 so
(5/10)(4/9)=20/90=2/9
which for some reason they converted to 4/18 :P
Answer:
10 or 9.9
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
12x-14=4x+10
Subtract 4x from each side
12x-4x-14=4x-4x+10
8x - 14 = 10
Add 14 to each side
8x - 14+14 = 10+14
8x = 24
Divide each side by 8
8x/8 = 24/8
x = 3
