Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
The complete factorized expression is
(2 + 2a + 3b) (2 - 2a + 3b).
Take a look at the attachment to see how I got this solution.
1.25mm x 50 = 62.5 mm Now lets change mm to meters. There are 1000 millimeters in a meter and we are only talking about 62.5 so we are not even at a single meter. Answers B and C can be eliminated.
meter decimeter centimeter millimeter (each one is ten times more or less than the previous one depending on where you start.
Since we are changing mm to m, we will get fewer. Why - try grouping any small things like 14 days - you get 2 weeks. 72 hours - you get 3 days. Notice that the number gets lower. 14---->2 and 72------->3
So we can expect our number to get smaller. The beauty of the metric system it that is based on 10 so it involves moving decimals and adding or subtracting zeros if needed.
meter dm cm mm
62.5
notice that it would take 3 "jumps" to the left to get it under the word meter. That means our decimal has to move 3 jumps to the left too. In order to do that we need to add a zero in front of the 6 in 62.5
<u>Correct answer is 0.0625 </u> which is none of the answers above - Notice that the decimal is 3 places left from where it was before (62.5).
5 pounds of onions 2$ each = 10$
A bag of salad greens for 4$ = 4$
10$ + 4$ = 14$
The answer is B.