2) Write the Inverse for the following linear function: f(x) f(x) = -x +5 F. F-'(x) = (x - 5) G. 8-1(x) = x +5 1.8-(x) = x - 5 1. f-'(x) = (x + 5)​

Answer:

172

Explanation:

Answer:

Step-by-step explanation:

[tex]Z_1=3+i\\Z_2=6\\Z_3=4+4i\\\\||Z_2\ Z_1||^2=||-3+i||^2=9+1=10\\\\||Z_1\ Z_3||^2=||1+3i||^2=10\\\\||Z_2\ Z_3||^2=||-2+4i||^2=20\\\\And\ 10+10=20[/tex]

Using the converse of the Pythagorean's theorem, the triangle is right.

Using Pythagorean theorem, the points 3 + i, 6, and 4 + 4i indeed form the vertices of a right triangle.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Let's calculate the distances between the points and then check if the Pythagorean theorem holds for them.

Distance between points A (3 + i) and B (6):

Distance AB = |6 - (3 + i)|

                     = |6 - 3 - i|

                     = |3 - i|

                     = [tex]\sqrt{(3^2 + (-1)^2)[/tex]

                     = √10

Distance between points A (3 + i) and C (4 + 4i):

Distance AC = |4 + 4i - (3 + i)|

                     = |1 + 3i|

                     = [tex]\sqrt{(1^2 + 3^2)[/tex]

                     = √10

Distance between points B (6) and C (4 + 4i):

Distance BC = |4 + 4i - 6|

                     = |-2 + 4i|

                     = [tex]\sqrt{((-2)^2 + 4^2)[/tex]

                     = √20

Now let's check if the Pythagorean theorem holds for these distances:

Longest side: [tex]BC^2 = (\sqrt20)^2 = 20[/tex]

Sum of squares of shorter sides:

[tex]AB^2 + AC^2 = (\sqrt10)^2 + (\sqrt10)^2[/tex] = 10 + 10 = 20

Since the sum of the squares of the shorter sides is equal to the square of the longest side.

So, the points 3 + i, 6, and 4 + 4i are vertices of a right triangle.

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

#SPJ3

Answer:

1.) C. 32

2.) Stem-and-leaf plot

Step-by-step explanation:

    This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:

    Now, to find the mean, add up all the numbers and divide the sum by the number of values.

(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.

Given:

27,974

[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]

Learn more:

brainly.com/question/21751836

[tex]\\ \sf\dashrightarrow \dfrac{x+20}{2}=3x[/tex]

[tex]\\ \sf\dashrightarrow x+20=2(3x)[/tex]

[tex]\\ \sf\dashrightarrow x+20=6x[/tex]

[tex]\\ \sf\dashrightarrow 20=6x-x[/tex]

[tex]\\ \sf\dashrightarrow 5x=20[/tex]

[tex]\\ \sf\dashrightarrow x=\dfrac{20}{5}[/tex]

[tex]\\ \sf\dashrightarrow x=4[/tex]

Step-by-step explanation:

1. m = (9-3)/(2-1) = 6/1 = 6 => B

2. m = (-7-5)/(2+1) = -12/3 = -4 => G

3. the horizontal line passes (0,4) => m = 0 =>I

4. m = (2-1)/(8-8) = 1/0 = oo => undefined => A

a=65° d=75° b=25° c=25°

Answer:

a=65° d=75° b=25° c=25°

Step-by-step explanation:

Have a good day

-Bradi

Answer:

8/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

Add up to get the total change of:

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

109 pumpkins

Step-by-step explanation:

I don't think this is right but

Answer:

X= –10

[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]

I hope I helped you^_^

9514 1404 393

Answer:

  (a)  2 + 2n

Step-by-step explanation:

If n represents the number, then "2 times a number" is 2n. Two more than that is ...

  2 + 2n

Answer:

g(-5) = -7

Step-by-step explanation:

given:

[tex]g(x) = -x-2[/tex]

find:

[tex]g(-5) [/tex]

~~~~~~~~~~~~

➡️ [tex] g(-5) = -(-5) - 2[/tex]

➡️ [tex] g(-5) = -(-5 - 2) [/tex]

➡️ [tex] g(-5) = -7 [/tex]

Answer:

2, 4, 26, 142, 788

Step-by-step explanation:

Using the recursive rule and t₁ = 2, t₂ = 4 , then

t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26

t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142

t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788

First 5 terms are 2, 4, 26, 142, 788

Answer:

7, 7, 6, 6

Step-by-step explanation:

Answer:

6.6.7.7

Step-by-step explanation:

that is we remove the subtract sign (negative sign)

Answer:

It is.

Step-by-step explanation:

1.5cm is in the plan.

1.92m is in real life.

We need to convert m to cm so 1.92m=192cm

The ratio is 1:128.

1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.

We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):

1.5 : 192 = 1 : 128

Then we multiply the numbers that are in and out of the equation like this:

1.5 * 128 = 192 * 1

192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128

12x because you multiply it

Find the distance between A and B, AB,

[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]

Next, find the distance between B and C, BC,

[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]

The equation is,

[tex]10=2\sqrt{(t-3)^2+1}[/tex]

[tex]25=(t-3)^2+1[/tex]

[tex]t^2-3t+10=25[/tex]

[tex]t^2-3t-15=0[/tex]

Use quadratic formula to get possible values of t,

[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]

[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]

Hope this helps :)

Answer: 9 or 3

Step-by-step explanation:

Step-by-step explanation:

[tex]3 {x}^{2} + 18x - 81 = 0 \\ \\ {x}^{2} + 6x - 27 = 0 \\ (x - 3)(x + 9) = 0 \\ x - 3 = 0 \: \: \: \: \: x + 9 = 0 \\ x = 3 \: \: \: \: x = - 9[/tex]

Its 1

Doubled:-

[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]

[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]

Answer:

1

because 1 times anything is that number!

Step-by-step explanation:

Answer:

6ft by 15ft

Explanation:

L1 = 10 ft

W1 = 4 ft

L2 = L1*(3/2)

W2 = W1*(3/2)

L2 = 10 ft times (3/2) = 15 ft

W2 = 4 ft times (3/2) = 6 ft

I hope this answer helps you out!

Answer:

Her younger brother is 11 years old

Step-by-step explanation:

35=3+2x

35-3=2x

32=2x

32÷2=2x÷2

11=x