Answer:
8 hours
Step-by-step explanation:
Step one:
Given data
Tom earned $72 walking dogs for 6 hours
amount earned = $72
time taken = 6 hours
Required
The time taken to earn $96
Step two:
let us find the unit rate of his earning
unit rate = 72/6
= 12 per hour
In 1 hour Tom earns $12
in x hours he will earn $96
cross multiply we have
96*1= 12x
divide both sides by 12
x= 96/12
x=8 hours
Answer:
Figure out the x and y intercepts.
Step-by-step explanation:
you should find what the y or x intercept's are.
To figure that out you need to divide the number next to x or y to 8. use x to find out x intercept and y for y intercept.
lets find out y intercept
8 / -2 = -4
and now x intercept
8 / 3 = 1.75 or 1 (3/4)
Once you found out the intercepts you can now graph the equation.
Answer:
Step-by-step explanation:
A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,
1=4x+3y+4z = 3y + (4x+4z)= 3y+0.
From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).
B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.
![\left[\begin{array}{ccc}i&j&k\\4&3&4\\4&0&4\end{array}\right] = 12i-0j+12k](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C4%263%264%5C%5C4%260%264%5Cend%7Barray%7D%5Cright%5D%20%3D%2012i-0j%2B12k)
As we want a unit vector, we must calculate the modulus of u:
.
Thus, the wanted vector is
. Therefore,
.
C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.

where
is a real number.
The answer is C bc y=5x is a direct variation
well, once you take in all the Revenue from sales, and subtract all the costs that went in for the product, what's leftover is the Profit.
so then, profit P(x), is simply the revenue minus costs, namely P(x) = R(x) - C(x)
