To graph a line, first put the equation into slope-intercept form:
. So what can we do with our equation,
, to get it into slope-intercept form? If we divide both sides of the equation by
, we get
. This gives us several pieces of information. Remember that the
constant term, the one without a variable, tells us the y-coordinate of the y-intercept. The y-intercept is where the graph crosses the x-axis. So here, the constant term is 2; so the y-intercept is
(0,2). That is one of the points. Now what does the slope represent? It is rise/run. Here it is -1/3. So from our y-intercept, (0,2), we can go down one unit and to the right 3 units. This new point is
(3,1). From that point we can apply that again: go down 1 and right 3 units to get another point,
(6,0).
Answer:
A
Step-by-step explanation:
So we want to convert 59°F to Celsius using the given formula:
Thus, substitute F for 59:
Subtract:
Simplify:
The answer is A
Answer: 29 centimeters long
Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)
Answer:
D) 39
Step-by-step explanation:
There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.
First step, find g(8):
g(x) = 3x - 2
When x = 8,
g(8) = 3(8) - 2
Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:
g(8) = (3 * 8) - 2
g(8) = (24) - 2
g(8) = 22
Next step, find g(-5):
g(x) = 3x - 2
g(-5) = 3(-5) - 2
g(-5) = (3 * -5) - 2
g(-5) = (-15) - 2
g(-5) = -17
Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:
22 - (-17) = 22 + 17 = 39
D) 39 is your answer.
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Answer:
87 is the number
Step-by-step explanation:
