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Mandarinka [93]
3 years ago
11

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of

Z when X equals four and Y equals nine
A: 2/3

B: 16/3

C: 8/3

D: 24
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

Plug in the numbers to find the value of k

3 = \frac{k(2^2)}{4}

12 = 4k

3 = k

Solve to find the value of z

z = \frac{3(4^2)}{9}

z = \frac{3(16)}{9}

z = 48/9

z = 16/3

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What is the slope of a line parallel to the line whose equation is y - x = 5?
Ghella [55]
A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.
3 0
3 years ago
What is the vertex of the graph of y = x^2+ 4x?
xxTIMURxx [149]

Answer:

(-2, -4)

Step-by-step explanation:

You can complete the square of the equation to get

y+(4/2)^2 = x^2+4x+(4/2)^2

y+4 = x^2 + 4x + 4

y+4 = (x+2)^2

y = (x+2)^2 - 4

This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)

6 0
2 years ago
What is the unit rate for 220$ to 13ft
Firlakuza [10]

Answer:

Total Rate= 220$ and length = 13 ft

13/220$

= 1/16.92$

Unit = 16.92$

6 0
3 years ago
Does this graph represent a function? Why or why not?
qwelly [4]
D, it’s a function because the Y and X values have its own numbers , and vertical are functions . Horizontal is not a function
4 0
3 years ago
A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying a
Karo-lina-s [1.5K]

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>

Let C represent the cost for buying and caring for n trees. Given that:

C = 0.001n² - 0.3n + 50.

The minimum cost is at dC/dn = 0, hence:

dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

0.002n = 0.3

n = 150

C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

8 0
3 years ago
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