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inysia [295]
3 years ago
9

A proportional relationship between the number of pounds of lettuce (x) and the price in dollars (y) is graphed, and the ordered

pair (5, 3) is on the graphed line. Part A: What is the price of 1 pound of lettuce? Show your work. (8 points) Part B: What does the ordered pair (10, 6) on the graph represent? Explain in words.
Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer:

A) $0.6

The point (5,3) means that you get 5 pounds of lettuce for 3 dollars, which means that one pound of lettuce would cost 3/5 dollars.

B) It tells us that 10 pounds of lettuce costs $6.

The x value of the point on the this graph tells us the number of pounds of lettuce and the y value of the point tells us the cost of those pounds of lettuce.

Step-by-step explanation: BABABOOEY

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nataly862011 [7]

Answer:

y-intercept = (-2,0)

Step-by-step explanation:

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If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
6 0
3 years ago
Write an equation that expresses the following relationship. d varies directly with the cube of w and inversely with p. In your
pantera1 [17]

Here d varies directly with cube of w, and inversely with p. So w cube have to be in the numerator and p have to be in the denominator. And we need to use k for constant of proportionality. Therefore the required equation is

d=\frac{kw^3}{p}

In direct proportionality, the relatioship is linear that is as w increases, d increases and as w decreases d decreases and for inverse, it is opposite .

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