To solve this, first subtract 3kx from both sides so that both the x variables are on the same side. This will result in: 24=9kx-3kx.
Since 9kx and -3kx are like terms, they will combine and you will get 24=6kx
Now, divide 6k from both sides to isolate x and you get x=24/6k.
However, you notice that 24 and 6k both have a common factor which is 6, so you simplify 24/6k to 4/k which gives you your answer of x=4/k
9514 1404 393
Answer:
domain: (-4, -2) ∪ [-1, 4]
range: (-5, 3)
Step-by-step explanation:
<u>Domain</u>
The domain is the horizontal extent of the graph. Here, it is comprised of two intervals. The left interval is open, as the function is not defined for x-values of -4 or -2. That interval is (-4, -2). The right interval is closed, as the function is defined for both x=-1 and x=4. That interval is [-1, 4]. The domain is the union of these two intervals.
D: (-4, -2) ∪ [-1, 4]
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<u>Range</u>
The range is the vertical extent of the graph. The left portion of the graph has a range from -5 to 3, but neither of those values is included in it. That is, the range is an open interval: (-5, 3).
The right portion of the graph has a range from 1 to 2, including both of those values. This interval is already included in the interval (-5, 3), so only one interval is needed to describe the range:
R: (-5, 3)
4x+25=6x-13
25=2x-13
38=2x
19=x
The number is 19
Answer:
y=-1/4x+1
Step-by-step explanation:
so here are my steps after plugging in the numbers:
y-3=-1/4(x+8)
y-3=-1/4x-2
y=-1/4x+1
Answer:
Step-by-step explanation:
dP/dh = kP
dP/P = k dh
ln P = kh + C
Now, using the points given,
ln 101.5 = C, so C = 4.62
ln 87.3 = k*1000 + 4.62
k = -0.00015
So, we have
ln P = -0.00015 h + ln 101.5
P = 101.5 e^(-0.00015h)
