The two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
<h3>How to determine which two options are the possible first step to begin to simplify the equation?</h3>
The equation is given as:
Negative one-half (x + 4) = 6
Rewrite the above equation properly
So, we have
-1/2(x + 4) = 6
A possible first step is to multiply both sides of the equation -1/2(x + 4) = 6 by -2
So, we have
x + 4 = -12
Another possible first step is to distribute the expression -1/2(x + 4) in the equation
So, we have
-1/2x - 1/2 * 4 = 6
Hence, the two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
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I would say she should spin the wheel because, if she rolled the dice it would take a long time to get 2 5's on both dice at one time.
Hope this helps!
Answer:
An equivalent ratio in simplest term is: 3 : 5
Easy:
((18-x) -5) + ((18+x)➗2)
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours