f(9) = -14. what is the value of f^-1(-14)
Please show step by step :)

Step-by-step explanation:

[tex] \bf \underline{Solution-} \\ [/tex]

We have to simplify the given expression.

[tex] \rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} } [/tex]

We know that:

[tex] \rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

[tex] \rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]

Therefore, we get:

[tex] \rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = {x}^{2(a + b+ c) - (a + b + c)}[/tex]

[tex] \rm = {x}^{a + b + c}[/tex]

Answer:

132°

Step-by-step explanation:

Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°

24 + 24 + ∠PON = 180° - first, simplify this

48 + ∠PON = 180° - now, subtract 48 from both sides

∠PON = 132°

Hope this helps!

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer:

p = -15

Step-by-step explanation:

[tex]-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}[/tex]

[tex]\frac{2p}{10} =-3[/tex]

[tex]2p=-3(10)[/tex]

[tex]p=\frac{-30}{2}[/tex]

[tex]p=-15[/tex]

[tex]m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3[/tex]

I hope this help you

Answer:

18°

Step-by-step explanation:

because it is ratio let represent by x

1x+4x+5x=180

10x=180

x=18°

hope that helps

Answer:

Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.

Answer:

B) $1.25

Step-by-step explanation:

1. First, let's take two points. In this case, we're going to take (4,5) and (8,10). We took 2 points, so we can verify the unit rate/cost per pound of pineapple.

2. To find the cost per pound of pineapple, we have to divide the cost (the y-coordinates) by the pound (x-coordinates)

3. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.

Answer:

log

2

(

y

)

=

5

→

2

5

=

y

⇒

y

=

32

Step-by-step explanation:

Answer:

4.5927 x 10^-2 ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

option 2

Answer:

The first choice

Step-by-step explanation:

-2 + 4(-5) = -2 + -20 = -22

-2 + 4(0) = -2

Answer:

[tex]x=\pm i[/tex]

Step-by-step explanation:

[tex]3x^2+5=2[/tex]

[tex]3x^2=-3[/tex]

[tex]x^2=-1[/tex]

[tex]x=\pm i[/tex]

Answer:

15/4

Step-by-step explanation:

15 divided by 4 = 3.75

3.75 is greater than 2.2

Answer:

15/4

Step-by-step explanation:

2.2=22/10=44/20<15/4=75/20

Answer:

the answer is 36....

because...

12*3=36

and also 4*9 =36

Any multiple of 12 is also a multiple of 4 true because Multiples of 4 can be found by multiplying 4 by another number. For example, 4×3=12.

A multiple is a result of multiplying a number by a whole number (it should not be a fraction). Multiples of an integer are obtained by subtracting the product of the decreasing numbers and the product of the whole numbers. For example, to find multiples of 6, we multiply 6 by 1, 6 by 2, 6 by 3, etc. The coefficients are the result of this multiplication. A number can have an infinite number of repetitions because multiples of a number are obtained by multiplying it by natural numbers. So we can write an infinite number of times for a given number. The table below shows the first 10 multiples of some numbers.

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Answer:

Step-by-step explanation:

The best way to do this problem is to find the lowest common denominator.

2/3 : 3*2/(3*3)

3/4 : 3*3 / 3*4

Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12

So multiply the equation by 12

(2/3 x- 5  = 3/4 ) 12

8x - 60 = 9                                 Add 60 to both sides

8x - 60 = 9                                 Combine

8x = 69                                       Divide by 8

x = 69/8

x = 8  5/8

Answer: 45

Step-by-step explanation:

Answer:

$21,240

Step-by-step explanation:

8 percent *9000 =

(8:100)*9000 =

(8*9000):100 =

72000:100 = $720 per years of interest

720* 17

= 12,240

12,240+9,000

= 21,240

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

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Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

Answer:

2x+y = 3

Step-by-step explanation:

Let's take y=-2x+b through the point (1,1), so we get b is equal to 3. So this is y=-2x+3, so 2x+y=3

Answer:

a) 2300 ml = 2.3 l

b) 9400 ml = 9.4 l

c) 9 l = 9000 ml

d) 7 l = 7000 ml

e) 9.7 l = 9700 ml

f) 670 ml = 0.67 l

g) 217 ml = 0.217 l

h) 1200 ml = 1.2 l

Step-by-step explanation:

For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.

Answer:

Step-by-step explanation:

i guess we will never know.

Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.

Given the Parameters :

We could represent the expression to calculate the number of players thus :

Total amount raised = (Bus rent + (amount per player × number of Players))

1405.25 = 822.50 + 27.75x

1405.25 - 822.50 = 27.75x

582.75 = 27.75x

x = (582.75÷27.75)

x = 21 players

Therefore, the Number of players would be 21.

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Answer:

I'm not sure 710

Step-by-step explanation:

I'm not sure

Answer:

#14

y=5

x=14

Step-by-step explanation:

I did 14 for you

the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.

Answer:

124.3

Step-by-step explanation:

42.15+20.00=1/2x

62.15=1/2x

62.15*2

124.3 is the total of her paycheck.

42.1<20.00+x

Answer:

None of the above

Step-by-step explanation:

20 x 4 = 80

20 + 20 +20 =20 = 80

Answer:

The answer is 25 because they're both the same.

Mark me as brainliest please.

Step-by-step explanation:

The total cost of Beena's travel, villa and art lessons = £1790.97

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

The total cost of her travel is £349

Beena is on holiday for 2 weeks.

The cost of the villa is 650 euros per week.

i.e. 2*650

  =1300 euros

  =1300/1.12

  =£1160.71

While on holiday, Beena has 7 art lessons.

The cost of each art lesson is 45 euros.

i.e. total cost = 7*45

                     =315

                     =315/1.12

                     =£281.25

[Using an exchange rate of 1.12 euros = £1]

Hence, The total cost of Beena's travel, villa and art lessons = £1790.97

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Answer:

Step-by-step explanation:

i am not really fully sure