Answer:
c) The given expression represents Addition Property of Equality.
Step-by-step explanation:
Here, the given expression is j = k
Now by ADDITION PROPERTY OF EQUALITY:
The property that states that if you add the same number to both sides of an equation, the sides remain equal.
So, <u> if A = B ⇒ A + </u><u>x </u><u> = B + </u><u>x</u>
<u></u>
Now, here given that j = k
If we add the same number 9 on both the sides, the equation remains undisturbed.
⇒ j + 9 = k + 9
Hence, the above expression represents Addition Property of Equality.
The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
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
Let's actually find the line of best fit...
m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)
m=(11*836-130*55)/(11*385-3025)
m=2046/1210
m=93/55
b=(Σy-93Σx/55)/n
b=(55Σy-93Σx)/(55n)
b=(7150-5115)/(55*11)
b=185/55, so the line of best fit is:
y=(93x+185)/55
A) The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.
Which means that those who do not practice at all will win about 3.36 times
B) y(13)=(93x+185)/55
y(13)≈25.34
So after 13 months of practice one would expect to win about 25.34 times.