This breaks into two inequalities:
2x - 3 > 6
and
-2x + 3 > 6
------------------------
2x - 3 > 6
Add 3 to both sides:
2x > 9
Divide 2 to both sides:
x > 4.5
-----------------------
-2x + 3 > 6
Subtract 3 to both sides:
-2x > 3
Divide -2 to both sides:
x < -1.5
Answer:
The correct option is A.
Step-by-step explanation:
From the given table it is noticed that the line is passing through the points (-1,1), (1,2), (3,3), (5,4) and (7,5).
Slope of a line is calculated as
Choose any two pair of coordinates from the given points.
Let the line is passing through (5,4) and (7,5).
Therefore the slope of line is 
and option A is correct.
Answer:
k = -11
Step-by-step explanation:
Let 
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = 
<u><em>By remainder theorem, Remainder will be zero</em></u>
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
O = number of oat cereal, w = number of wheat cereal, f = number of fruit cereal:
o + w + f = 4250
o = w + 715
f = 5w
The second equation tells us the value of o in terms of w, and the third equation tells us the value of f in terms of w, so we can plug in "w + 715" for o and "5w" for f in the first equation:
o + w + f = 4250
(w + 715) + w + (5w) = 4250
Then, add like terms and subtract and divide to isolate the w:
w + 715 + w + 5w = 4250
7w + 715 = 4250 Subtract 715 on both sides:
7w = 3535 Divide by 7 on each side:
w = 505
Now that we have w, we can plug it into the last equation to find f, the number of fruit cereal boxes:
f = 5w
f = 5(505)
f = 2525
Therefore, the factory packages 2525 fruit cereal boxes.
