Plot the intercepts:
y=-1
x=?
to find the x intercept, you dont solve the equation as it is solved in the slope-intercept form. instead, you simply plug in 0 for y:
0=1/4x-4
0=1/4x-4+4
4=1/4x
4/1/4=1/4x
1/4=0.25
x=16
revise:
y=(0, -1)
x=(16,0)
graph the slope for y=-1/2x-1: start from say point (0,-1)
graph the slope for y=1/4x-4: start from say point (16,0) ; you can just ise the intercept (0,-4) since the graph is diluted small...anyways
the points intersect at (4, -3) so thats the solution to the equations
NOTE: when graphing slopes that are negative either the numerator or the denominator can be graphed negative. so I graphed the first equation with the numerator as the positive and the denominator as the negative : rise= 1 ; run: -2. once i got to the end of the provided graph i started from the -1 y-intercept again and graphed the equation using: rise=-1; run=2
*graphing messes me up, too*
Answer:
B
Step-by-step explanation:
Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, <u><em>it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.</em></u>
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As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.
So we can say that the range is 0 ≤ y ≤ 12
Correct answer is B
Answer:
1/5=t
Step-by-step explanation:
Let 1993 = time 0 = 0.
Let 1999 = time 6 = 6
Let 2012 = time 19 = 19
So, a = 171 (million). First solve for k.
176 = 171 e^k6
176/171 = e^(k*6)
ln (176/171) = 6k
k = 1/6 ln (176/171)
So, in 2012 we have: P(19) = 171 e^(19k), where k = 1/6 ln (176/171)
Hope this helped!
If an exponent is negative you need to switch it to the other side.
So it would be 54v¼•w⅔
__________
18v⅔•¹¹/³•x5/7
Then you need to simplify it. So you would do 54÷18 to get 3.
NOTE: when you are simplifying it's dividing, so the answer you get goes where the larger number is. So in this case the 3 is where the 54 was.
