3x-y=6, in order to be able to graph this you would have to change the equation to y=, so you need to subtract 3x from that side making it -y=-3x+6, now you need to y positive, so divide both sides by -1, thus making the equation look like y=3x-6, now if you can't plug this into a calculator to see what it would look like then you need to know what y=mx+b means. y is the equation you want to graph obviously, m = the slope, so our slope in this case would be -3, and b = our y intercept, so it would be (0,-6), so plot (0,-6) and use the slope to plot the rest of the points, some other points in this line should include (2,0), (-1,-9) and (4,6), just to name a few. Hope this helps.
So it cooks for 2 hrs and 20 minutes......and it has to be done by 1 pm.
so from 1 p.m. - 2 hrs = 11 a.m........- 20 minutes = 10:40 a.m
start cooking at 10:40 a.m. and it will be done by 1 p.m
Answer:
• x = -4, x = 0, x = 1
Step-by-step explanation:
x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)
The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)
Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.
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Of course, your graphing calculator can answer this almost as quickly.
Answer:
Step-by-step explanation:
The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.
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1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.
The general form of the n-th term of a geometric sequence is ...
an = a1·r^(n-1)
where a1 is the value for n=1, and r is the common ratio.
If this were a geometric sequence, we could write the general term using a1=1 and r=8:
an = 1·8^(n-1)
Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...
y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x
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2) This equation is of the form ...
k·∛x = 6
Since k is also a cube root, it is easiest to cube both sides of the equation:
9x = 6³ = 216
Now, you can divide by 9 to find x:
x = 216/9
x = 24
76/2=38 so half her mothers age is 38. And since Moira is 3 less than the half of her mothers age, Moira is: 38-3=35
