Answer:
<em>The unit rate for the price to the length of the fabric will be $8 per meter.</em>
Step-by-step explanation:
The two points on the graph of the line are: (1, 8) and (3, 24)
For finding the unit rate for the price to the length of the fabric, we just need to find the slope of that line.
Formula for finding the slope is: , where and are two given points.
Here, and
So, the slope of the line will be:
Thus, the unit rate for the price to the length of the fabric will be $8 per meter.
<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
Answer:
6
Step-by-step explanation:
The answer is 6 because there is three other couples and so Barbie would have shaken each couples hand and in a couple there are two people so that would be two handshakes per couple minus Kens hand.
20,370 represents 105% or 1.05 of the original salary
20,370 divided by 1.05 = 19,400
To check your work, take 19,400 X 1.05