f(x) = -x - 14
Find x if f(x) = -2

Answer:

f(2) = -6

f inverse of 1/2 is 17/2

Step-by-step explanation:

We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]

To solve for part (a), we have to substitute x = 2 in f(x).

[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]

Therefore, f(2) is -6.

Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).

[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]

To solve for part (b), first we solve for x in the function. Let f(x) = y.

[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]

Multiply both sides by 2x-5.

[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]

Divide both sides by y-term.

[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]

Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]

Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]

Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]

____________________

Let me know if you have any questions in comment.

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.

Answer:

A (2,-1)

B (-3,-2)

C (-2,1)

Step-by-step explanation:

A (-2,-1), B (3, - 2), and C (2,1)

Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.

A’ (2,-1), B’ (-3, -2), and C’ (-2,1)

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

Answer:

The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.

Step-by-step explanation:

I got it right on my test! :)

The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

As we know,

The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

From the graph:

The coordinate for E and F are:

E = (-4, 0)

F = (0, 2)

The scale factor = 1/2

E' = (-4/2, 0) = (-2, 0)

F' = (0, 2/2) = (0, 1)

Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.

Learn more about the straight line here:

brainly.com/question/3493733

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Answer:

155

Step-by-step explanation:

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

To learn more about digits,

https://brainly.com/question/10913044

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Answer:

-26

Step-by-step explanation:

well add the negative numbers first so you get

-17-18=(-35)

then you add 9 so its (-35)+9=26

Answer:

Step-by-step explanation:

-17 + 9 +(-18) = -8 -18 = -26 final answer

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

Answer:

x=19

Step-by-step explanation:

The 2 angles are same side interior angles, so together they add to 180 degrees. So you can make this equation:

6x + 4 + 4x - 14 = 180

10x - 10 = 180 (Combine like terms)

10x = 190 (add 10 to each side)

x = 19 (divide both sides by 10)

The answer is A. y=2x+1

A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.

Hope this helps. & don't forget to drink water <3

Answer:

aq lang to Yung d na binalikan Yung iniwan na parang basura

Answer:

The increase as a percentage was 11.1%.

Step-by-step explanation:

The increase is $10.  The ratio of this increase to the original $90 is

$10

------- = 1/9

$90

Multiplying this by 100%, we get 11.1%.

The increase as a percentage was 11.1%.

Answer: As you can see when you list out the factors of each number, 2 is the greatest number that 24 and 62 divides into.

Step-by-step explanation:

Find total ounces mixed for each flower:

Daisies = 2+5 = 7 ounces

Tulips = 3 +6 = 9 ounces

Now find the ratio of purple to white for each one:

Daisies = 5/7 = 0.714

Tulips = 6/9 = 0.666

Daisies have more purple so would be the darker ones.

Answer:

Daisies

Step-by-step explanation:

IXL told me it was right

Answer:

R - (-6,10)

Flip the x-value when reflecting over y axis, and flip y-value when reflecting over x-axis

Answer: a I think

Step-by-step explanation:

Answer:

answer ????

Step-by-step explanation:

Answer:

Solution given:

slope(m)=4

passes through (x',y')=(-2,5)

we have

equation of a line is:

y-y'=m(x-x')

substituting value we get

y-5=4(x-(-2))

y-5=4(x+2)

y-5=4x+8

y=4x+8+5

y=4x+13 is a required equation of a line.

Answer:

6

Step-by-step explanation:

Answer :

4x + 9y = 27

Explanation :

Multiply the equation with 9

9( y = -4x/9 + 3 )

9y = -4x + 27

4x + 9y = 27

Answer:

Step-by-step explanation:

2:33pm

Answer: