What is the solution and answer of this question:
3 log 10 + 9 log 10

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].

According to the given equation.

We have a function.

[tex]f(x) = 3(x-4)^{2} +5[/tex]

The above function can be written as

[tex]y = 3(x-4)^{2} +5[/tex]

Write the above function for x.

[tex]\implies y -5 = 3(x-4)^{2}[/tex]

[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]

[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]

Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].

We get

[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]

Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

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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: To do so, reflect it on the Y axis and then move it 4 times.

Step-by-step explanation:

Answer:

96 is the number. x = 9

Step-by-step explanation:

x = 9, so y = 15–9 = 6, and so the answer is 96

brainliest?

Answer:

1. x=105

2. 12 cans for $4

3. 14

Step-by-step explanation:

1. 15/18 = x/126

126/18=7

x=15*7=105

2. 12 cans for $4.  36 for $11.50.  

36/3=12.  11.50/3=3.8333.  

12 cans for $4 is the better deal because it would be an equal deal if it was 36 for 12:00.  

3. Circumference = pi*d.  Circumference = 43.96.  pi=3.14.  3.14*x=43.96.  x=diameter.  x=14.  diameter = 14

--Explanation to 3.14*x=43.96:

3.14*x=43.96, = 3.14x=43.96

3.14x*100 =43.96*100

314x=4396

314x/314 = 4396/314

x=14

Answer:

B

Step-by-step explanation:

Answer:

the slope is -2

Step-by-step explanation:

Answer:

1/1 = 1

Step-by-step explanation:

Use rise/run.

The x value increases by 1 in the same amount of time that the y value increases by 1. This gives you the slope 1/1 (y increase/x increase).

1/1 can then be converted to 1.

Answer:

N= 8

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

This Geometric series. r = 2 and a = 2

[tex]S_{n}= \dfrac{a(r^{n}-1)}{r-1}\\\\\\\dfrac{2(2^{n}-1)}{2-1}=510\\\\\dfrac{2*(2^{n}-1)}{1}=510\\\\2*(2^{n}-1) = 510\\\\2^{n-1}=\dfrac{510}{2}\\\\2^{n} - 1 = 255\\\\2^{n}=255+1\\\\2^{n} = 256\\\\2^{n} =2^{8}[/tex]

n = 8

Answer:

The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound

So, Five pound would cost 15 cents less than the 3 pounds

Step-by-step explanation:

Divide the price by the pounds

Hope this helps

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

Answer:

(-1, -4.5)

(-1.5, -2.5)

Step-by-step explanation:

To find the midpoint add the coordinates and divide by 2

19.( -8,-2) (6,-7)

((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)

20. ( 6,5) (-8,-10)

(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)

Answer:

19. (-1, -4.5)

20. (-1, -2.5)

Step-by-step explanation:

19.

Use the midpoint formula.

[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Substitute the values.

[tex]\frac{-8+6}{2},\frac{-2-7}{2}[/tex]

Add/Subtract the numerators.

[tex]\frac{-2}{2},\frac{-9}{2}[/tex]

Divide.

-1, -4.5

20.

Use the midpoint formula.

[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Substitute the values.

[tex]\frac{6-8}{2},\frac{5-10}{2}[/tex]

Add/Subtract the numerators.

[tex]\frac{-2}{2},\frac{-5}{2}[/tex]

Divide.

-1, -2.5

Answer:

x-int: (-2,0)

y-int: (0,1.333)

Step-by-step explanation:

Answer:

16 × .15 and 16 × 15/100

Step-by-step explanation:

...

Answer: i belive its 5 1/3 or B

Step-by-step explanation:

sorry if im wrong

Step-by-step explanation:

= ([tex]\frac{8}{3}[/tex])([tex]\frac{4}{3}[/tex])([tex]\frac{3}{2}[/tex]) = [tex]\frac{16}{3}[/tex] or [tex]5\frac{1}{3}[/tex]

please give me a brainliest answer

Answer:

N0O0O0O0O0O0O0O0O0O0O

Step-by-step explanation:

Answer:

You subtract because you're taking away money when you're withdrawing.

Answer:

Because withdrawal means taking out money from a total amount of money. That is we take away.

Answer:

Step-by-step explanation:

2 tables and 3 chairs is $705

Let t stand for table and c stand for chair

3c + 2t = 705

We are told that the table costs $40 more than the chair, so t = c + 40

Now we can insert this into the equation

3c + 2(c + 40) = 705

The next step is to distribute the 2

3c + 2c + 80 = 705

Then combine like terms

5c + 80 = 705

To get the variable by itself, you have to subtract the 80 from both sides.

5c = 705 - 80

5c = 625

This means that 5 chairs costs $625.

Divided both sides by 5 to isolate the variable

c = 625/5

c = 125

Great, now you know the cost of one chair, $125!

The question is asking how much a table costs, and we know that a table costs $40 more than a chair.

A table costs $125 + $40

A table costs $165

Hope this helps! =)

Answer:

2/8 is the answer

Step-by-step explanation:

I think the answer

Answer:

48

Step-by-step explanation:

First you would subtract 9 from 393 which is 384 then you would divide the 384 remaining student among the 8 busses which is 48.

Hope this helps.

Answer:

7

Step-by-step explanation:

Given :

To find :-

Solution :-

The gradient form/ slope intercept form

On converting ,

Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is M'(-3, 4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Given Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is at:

M'(-3, 4)

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Answer:

151,105 pages

Step-by-step explanation:

(450 + 193) copies * 235 pages / copy = 643 copies * 235 pages = 151,105 pages

Answer:

1/3

Step-by-step explanation:

gradient or slope = m

m = change in y ÷ change in x

= (-4 - -2) ÷ (-3 - 3)

= (-4 + 2) ÷ (-3 - 3)

= -2 ÷ -6

= 1/3

Answer:

Below

Step-by-step explanation:

Use reverse pythagorean theorem

     c^2 = a^2 + b^2

You can either rearrange the equations, or plug the values in an solve for b :

     b^2 = c^2 - a^2

            = 15.1^2 + 9.7^2

            = 1339.2

Square root this number

            = 11.5723809

        x  = 11.6 in

Hope this helps! Best of luck <3

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (15,1)² - (9,7)²

x² = 228,01 - 94,09

x² = 133,92

x = 11,6in✔

Answer:

4x-5y+45=0.

Step-by-step explanation:

1) formula is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

2) if point A is (0;9) and point B is (5;13), then:

[tex]\frac{x}{5} =\frac{y-9}{13-9}; \ => \frac{x}{5} =\frac{y-9}{4}; \ => \ 4x-5y+45=0.[/tex]