Type the correct answer in each box. Use numerals instead of words. Consider this expression.

What expressions is equivalent to the given expression? ​

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:

(-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:

1.1  ithink

Step-by-step explanation:

Answer:

little more points

Step-by-step explanation:

Answer: C

Step-by-step explanation: Found where I can put this answer. All you have to do is if you have a graphing calculator like I do (TI-84) or you can look one up and do it. You just plug each answer into Y equals until you get the graph that the question shows you.

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:1,5

Step-by-step explanation:

gimme brainliest

Answer:

7/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

22-8/18-(-2)

14/20

7/10

Best of Luck!

Answer:

I disagree. Open book tests, you can see the answers, and the test usually goes by pretty quick and smoothly because of this. Traditional tests, sometimes you don't even get notes, and so you can struggle more with that then with open book tests.

Step-by-step explanation:

I got 100% on Edge!

Answer:

I believe that open book test are easier simply because the answers are right in front of you all you have to do is search for them and not copy directly from the book. One way you can prepare for it is to memorize what information is on each page so you don't constantly flip back and forth from the pages

Step-by-step explanation:

got 100

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:

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:

B). 48

Step-by-step explanation:

48•64=3072

3072÷64=48

Answer:

value of X=180-(48+48)

=180-96

=84

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

Step-by-step explanation: here

2(5v6-724)

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

=10v6-1448

Answer:

-1

Step-by-step explanation:

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:

It is a two step equation

Step-by-step explanation:

First you have to solve the first part then solve the second part :)

Answer:

n ≥ − 5

Step-by-step explanation:

Move all terms containing  

n  to the left side of the inequality.

n + 2 ≥ − 3

Move all terms not containing  

n  to the right side of the inequality.

n ≥ − 5

The result can be shown in multiple forms.

Inequality Form: n ≥ − 5

interval Notation:  [ − 5 , ∞ )

Answer:

2.88 ...........................

Answer:

537.64

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:

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

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

the correct answer should be ASA since 2 angles and 1 side is congruent

Answer:

there is no backgroung information?

Step-by-step explanation:

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:

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:

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.