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3 years ago

If Y varies directly with X solve the following :

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

a) x = -270

b) y = 304/9 or y = 33.78

c) x = -37.8

Step-by-step explanation:

y varies directly with x so y = kx

y = kx

k = y/x

k = 10/-30 = -1/3

y = -1/3 x

If y = 90 then

90 = -1/3 x

x = 90 *(-3) = -270

k = y/x

k = -19/-4.5

k = 38/9

y = 38/9 x

If x = - 8 then

y = 38/9 *(-8)

y = 304/9 or y = 33.78

k = y/x

k = -4.3 / 12.9

k = - 1/3

y = -1/3 x

If y = 12.6 then

12.6 = -1/3 x

x = 12.6 *(-3)

x = -37.8

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Based on the graphs of f (x) and g(x), what must the domain of (f ⋅ g)(x) be?

bekas [8.4K]

Using the concept of domain, the domain of (f.g)(x) is given by:

{x ∈ ℝ | x ≠ 3}

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The domain of a function is given by all possible input values, that is, on a graph, all values that the x-axis assumes.
In the graph, function f assumes all real values.
Function g is not defined for x = 3, thus, it's domain is all real values except 3.
Thus, the multiplication, as $fg(x) = f(x) \times g(x)$ , will also not be defined at x = 3, and the domain of the multiplication is:

{x ∈ ℝ | x ≠ 3}

A similar problem is given at brainly.com/question/4175434

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3 years ago

Uche is a cartographer. He picks a scale to fit a map of India onto a page of an atlas. The page is 121212 by 121212 inches, wit

julsineya [31]

The scale ratio of a point A to another point B is the division of the length of B by the length of A. The best equation that models the situation is: $10.5k= 3214$

The page dimension is:

$Length = 12$

$Width = 12$

The length and the width of Uche's book are equal; this means the pages of Uche's book have the shape of a square

The margin of 0.75 on either sided means the usable dimension is:

$Length = 12 - 2 * 0.75 =10.5$

The dimension of India is:

$Length = 3214$

$Width =2933$

The longest side in India's dimension is:

$Longest = 3214$

From Uche's book, the longest dimension is:

$Longest = 10.5$

So, the scale equation is:

k * longest length of Uche's book = longest side of India

This gives:

$k * 10.5 =3214$

$10.5k =3214$

Read more about scale ratio at:

brainly.com/question/16192120

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3 years ago

The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of

Naddik [55]

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph $y=(x-3)^2$ is x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

$x=3-4\\x=-1$

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly