x = -1/3
Explanation:
-3x-2=-1
collect like terms by adding +2 to both sides:
-3x -2 + 2 = -1 + 2
-3x = 1
Divide both sides by the coefficient of x:
coefficient of x = -3
-3x/-3 = 1/-3
x = -1/3
The length of BC would be 6ft
The mean decreases, think about it, if every single value in a data set was decreased by the same number, the average would also go down by the same number
The median would also go down, because the value in the middle of the data set would now be smaller than before
The mode would also decrease, because the value that showed up the most in the data set has now also been decreased
The range, however, stays the same. If the lowest value in a data set was 3 and the highest was 10 and you subtracted 2 from each value in the data set, you would have the lowest at 1 and the highest at 8. But, 10-3 still equals 8-1, so the range is unchanged
Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49
Answer: 57.6m
Step-by-step explanation:
That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information
199.2m= top of off shore oil rig
-9.6 m is the base of the rig
observation deck is 1/6 of the total height
helly pad is 22.8m above the observation deck
First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m
So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m
Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.
Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m
So we know the total height is 208.8m
The observation deck is 34.8m
And the helly pad is 57.6m
