.6(2k - 3) = 3(4k + 5)
Hellppp pleaseee

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

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

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

Answer:

(-10,-7)

Step-by-step explanation:

Lets start with the equation y>-3x+7

Which of these are solutions?

(5,-5) - yes

(10,-8) - yes

(5,-6) - yes

(-10,-7) - no

Now lets do the equation y<4/5x-2

Which of these are solutions?

(5,-5) - yes

(10,-8) - yes

(5,-6) - yes

(-10,-7) - no

So, the point (-10,-7) is not a solution to the system of equations.

Answer:

x = 31

Step-by-step explanation:

The 2 sides are congruent, meaning the 2 angles are equal so:

47 = x + 16

subtract 16 from both sides

31 = x

Answer:

y= 3(x+5)^2 -4

Answer:

537.64

Step-by-step explanation:

Answer:

for neg its -6-6 and for the right side 8-3

Step-by-step explanation:

Find his rate by dividing total miles by hours:

756 miles / 12 hours = 63 miles per hour.

Multiply the rate by number of hours:

63 x 7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

756 deived by 12 = 63x7 =

441 miles

Answer:

meee

Step-by-step explanation:

i love august d very much

i Do; I like a lot of rap songs of any type

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

Answer:

1.1  ithink

Step-by-step explanation:

Answer: the real answer for this is 10v6-1448

Step-by-step explanation: here

2(5v6-724)

=(2)(5v6)+(2)(-724)

=10v6-1448

Answer:

Step-by-step explanation:

Answer:

These equations describe two lines that intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4.

Step-by-step explanation:

We can find the point where these two lines intersect by taking one of the equations, solving it for x, and substituting it into the other equation.

[tex]y = -4x + 4\\-4x = y - 4\\4x = 4 - y\\x = 1 - \frac{y}{4} \\\\y = 3x + 11\\y = 3(1 - \frac{y}{4}) + 11\\y = 3 - \frac{3y}{4} + 11\\y + \frac{3y}{4} = 3 + 11\\\frac{4y}{4} + \frac{3y}{4} = 14\\\frac{7y}{4} = 14\\y = \frac{4}{7} * 14\\y = 4 * \frac{14}{7}\\y = 4 * 2\\y = 8[/tex]

Now we can plug that into our first equation to find x

[tex]x = 1 - \frac{y}[4}\\x = 1 - \frac{8}[4}\\\\x = 1 - 2\\x = -1[/tex]

So these lines intersect at the point (-1, 8), one of them with a slope of 3, the other with a slope of -4

Answer:

Alright, so for Heads, it would be 26/50. As for Tails, 24/50

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

Answer:

15 equations

Step-by-step explanation:

Let

Number of equations in the homework = x

There is only a one-word problem

y = amount of time used to solve the word problem

She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,

Total = 3x + y

52 = 3x + 7

Subtract 7 from both sides

52 - 7 = 3x + 7 - 7

45 = 3x

Divide both sides by 3

x = 45 / 3

= 15

x = 15 equations

Therefore, she solved 15 equations

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

Answer:

PY = 3 sqrt 3

Step-by-step explanation:

Hope it helps.

Answer:

gfdxkcgftdkrxclfdrkyxcfdretkx

Step-by-step explanation:

Answer:1,5

Step-by-step explanation:

gimme brainliest

Answer:

The unit rate is $9.20 per toy

Step-by-step explanation:

Since the total of the toys is 46, you divide by 5, to see how much each toy is

Answer:

-1

Step-by-step explanation:

Answer:

$5004

Step-by-step explanation:

.4% of 5000 is $4 and adding that to 5000 makes the end result $5004

Answer:

I'm assuming your problem looks like this: 4+5*6-3 =? To solve this problem you need to use the order of operations. PEMDAS which stands for Parentheses, exponents, multiply and divide, and lastly add and subtract. You must multiply and divide before you add and subtract so you must do 5*6 first. You now get 4+30-3. Now all you have left is addition and subtraction so you now just go from right to left and do one at a time. So 4+30 = 34 , 34-3=31. Therefore your answer should be 31. Hope that helped!

Step-by-step explanation: