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3 years ago

Enter in the number below that will make the right expression equivalent to the left expression:

Mathematics

1 answer:

Sati [7]3 years ago

7 0

1.9+n
2.10+6
3.2+10
4.17
5.3+3
6.-3+n

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Answer:

The graph of g is the graph of f shifted up by 3 units.

Step-by-step explanation:

Consider the graph of a function r with real numbers k and h.

Transformation Effect

r(x) + k shifts the graph up k units

r(x) - k shifts the graph down k units

r(x + h) shifts the graph to the left h units

r(x - h) shifts the graph to the right h units

It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.

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Y is inversely proportional to x.

Inessa [10]

Answer:

1. $xy = 63$

2. $y = 3$

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

$y\ \alpha\ \frac{1}{x}$

Convert variation to equation

$y\ = \frac{k}{x}$ ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

$7 = \frac{k}{9}$

Multiply both sides by 9

$9 * 7 = 9 * \frac{k}{9}$

$63 = k$

Substitute 63 for k in equation 1

$y = \frac{63}{x}$

Multiply both sides by x

$x * y = \frac{63}{x} * x$

$xy = 63$

Hence, the equation connecting x and y is $xy = 63$

Solving for when x = 21

Substitute 21 for x in the above equation

$21 * y = 63$

Divide both sides by 21

$\frac{21 * y}{21} = \frac{63}{21}$

$y = 3$

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