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Katen [24]
3 years ago
14

The graph of f(x) = 3 . 2*-3 is shown below. g(x) is a transformation of f(x).

Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

Answer: (c)

Step-by-step explanation:

Given

Function f(x) is 3\times 2^x-3

Also, g(x) is the transformation of f(x)

From the graph, it is clear that g(x) passes through the point (0,5)

Now check the option which satisfies the condition

option (c) seems to obey it

g(x)=3\cdot 2^x+2\\g(0)=3\cdot 2^0+2\\g(0)=3\cdot 1+2\\g(0)=3+2\\g(0)=5

Therefore, option (c) is correct.

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What is the product of 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°))
saveliy_v [14]

The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Complex number is in the form z = a + bi, where a and b are real numbers.

The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:

z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]

Find out more on equation at: brainly.com/question/2972832

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3 0
2 years ago
Find the horizontal and vertical asymptotes of​ f(x). ​f(x) equals = StartFraction 6 x Over x plus 2 EndFraction 6x x+2 Find the
miss Akunina [59]

Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* <em>Lets the meaning of vertical and horizontal asymptotes</em>

- <u><em>Vertical asymptotes</em></u> are vertical lines which correspond to the zeroes

  of the denominator of a rational function

- <u><em>A horizontal asymptote</em></u> is a y-value on a graph which a function

 approaches but does not actually reach

- If the degree of the numerator is less than the degree of the

 denominator, then there is a horizontal asymptote at y = 0

- If the degree of the numerator is greater than the degree of the

 denominator, then there is no horizontal asymptote

- If the degree of the numerator is equal the degree of the denominator,

 then there is a horizontal asymptote at y = leading coefficient of the

 numerator ÷ leading coefficient of the denominator

* <em>Lets solve the problem</em>

∵ f(x)=\frac{6x}{x+2}

∵ The numerator is 6x

∵ The denominator is x + 2

∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

∵ The leading coefficient of the denominator is 1

∴ There is a horizontal asymptote at y = 6/1

∴ <em>The horizontal asymptote can be described by the line y = 6</em>

- Put the denominator equal zero to find its zeroes

∵ The denominator is x + 2

∴ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ <em>The vertical asymptote can be described by the line x = -2</em>

6 0
3 years ago
Read 2 more answers
P + 12 &gt; 9<br> A. p &gt; 21<br> B. p &gt; 3<br> C. p &gt; –21<br> D. p &gt; –3
boyakko [2]

Answer:

D. p>-3

Step-by-step explanation:

step1

move 12 to the other side

p>9-12

when you move it changes it's sign from positive to negative

p>-3

3 0
3 years ago
Jessica's Furniture Store manager is trying to figure out how much to charge for an armchair that just arrived. The chair was pu
VARVARA [1.3K]

Answer: The manager should sell the chair for $1740.

Step-by-step explanation:

45% of 1200       Solve this to find the amount increase

0.45 * 1200 =  540      Now add this amount to find the price.

$1200 + $540 = $1740

or  you could do it this way

100% + 45% =  145%

145% of 1200 =?

1.45 * 1200 = 1740

3 0
2 years ago
What is the simplest form for 4/3?
shutvik [7]

4/3 in simplest form is 4/3 but in decimal form it would be 1.33333

hope this helped, please mark brainilest :)

3 0
2 years ago
Read 2 more answers
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