Answer:
y = -2.5x + 5
Explanation:
Convert -5x - 2y = -10 into slope-intercept form: y = -2.5x + 5
You can start solving for and graphing points by putting numbers in for 'x' in the equation, and the answer you get out will be y.
Ex: -2.5(7) + 5 = -12.5
7 is the number we inserted for x, so it is the x value. -12.5 is the number we got out of the equation, so it is the y value.
The points will now look like this: (x, y) but for the example they would look like (7, -12.5)
Plot the numbers, x being on the horizontal axis, y being on the vertical axis.
I'm assuming you have to graph a line that shows the combination of earnings.
Our equation is 14.64y + 12.20x = 219.60
We'll be solving for x and y. We'll need to substitute the variables, one at a time, to 0, in order to find their intercepts.
Let's do x first.
14.64(0) + 12.20x = 219.60
12.20x = 219.60
Divide by 12.20 on both sides.
x = 18
Now let's solve for y.
14.46y + 12.20(0) = 219.60
14.46y = 219.60
Divide both sides by 14.46.
y = 15.18
That is actually a long decmal, but since we're dealing with money, we round it down to the nearest cent.
So, now we know x = 18 and y = 15.18.
Graph those on the x coordinate plane and the y coordinate plane, and make a line connecting the two. That line represents all the solutions.
Answer:
a) L(x,y,z) = (-4,0,2)+(2,8,-7)*t
b) (2-z)/7= y/8=(x+4)/2 (option B)
Step-by-step explanation:
the parametric equation of the line passing through the point P₀= (-4,0,2) and parallel to the vector v=2i + 8j - 7k is
L(x,y,z)=P₀+v*t
therefore
L(x,y,z) = (-4,0,2)+(2,8,-7)*t
or
x=x₀+vx*t = -4 + 2*t
y=y₀+vy*t = 8*t
z=z₀+vz*t = 2 -7*t
solving for t in the 3 equations we get the symmetric equation of the line:
(2-z)/7= y/8=(x+4)/2
thus the option B is correct
Answer:
G. -5/2
Step-by-step explanation:
First we want to distribute the 6 into q and 3.
6q + 18 = 2(q + 4)
Next distribute the 2 into q and 4.
6q + 18 = 2q + 8
Now the variable needs to be on one side of the equation. Subtract 2q from both sides.
4q + 18 = 8
Isolate the variable. Subtract 18 from both sides.
4q = -10
Divide 4 on both sides.
q = -10/4
We can now simplify this even further. Divide -10/4 by 2/2
q = -5/2
