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sdas [7]
2 years ago
7

(01.02 LC)

Mathematics
1 answer:
pantera1 [17]2 years ago
3 0

So to find the inverse of this function, replace f(x) with y, switch x and y, then solve for y. This is what it'll look like: x=\frac{y-5}{3}

Firstly, multiply both sides by 3: 3x=y-5

Next, add both sides by 5 and replace y with f^-1 (x) and your inverse equation is: 3x+5=f^{-1}(x)

Now that we have the inverse, plug in 3 into it and solve:

3(3)+5=f^{-1}(3)\\ 9+5=f^{-1}(3)\\ 14=f^{-1}(3)

In short, the answer is 14, or the second option.

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PLEASE HELP
xenn [34]

Answer:

perimeter is  4 sqrt(29) + 4pi  cm

area is 40 + 8pi cm^2

Step-by-step explanation:

We have a semicircle and a triangle

First the semicircle with diameter 8

A = 1/2 pi r^2 for a semicircle

r = d/2 = 8/2 =4

A = 1/2 pi ( 4)^2

  =1/2 pi *16

  = 8pi

Now the triangle with base 8 and height 10

A = 1/2 bh

  =1/2 8*10

  = 40

Add the areas together

A = 40 + 8pi cm^2

Now the perimeter

We have 1/2 of the circumference

1/2 C =1/2 pi *d

         = 1/2 pi 8

        = 4pi

Now we need to find the length of the hypotenuse of the right triangles

using the pythagorean theorem

a^2+b^2 = c^2

The base is 4 ( 1/2 of the diameter) and the height is 10

4^2 + 10 ^2 = c^2

16 + 100 = c^2

116 = c^2

sqrt(116) = c

2 sqrt(29) = c

Each hypotenuse is the same so we have

hypotenuse + hypotenuse + 1/2 circumference

2 sqrt(29) + 2 sqrt(29) + 4 pi

4 sqrt(29) + 4pi  cm

3 0
2 years ago
Read 2 more answers
The vertices of a square are located at:
vivado [14]

Answer:

(4,4), (10,4), (10,10), (4,10)

Step-by-step explanation:

(2,2) x2 -> (4,4)

(5,2) x2 -> (10,4)

(5,5) x2 -> (10,10)

(2,5) x2 ->  (4,10)

Hope that helps!

5 0
3 years ago
Read 2 more answers
The little Mexican restaurant sells only two kinds of beef burritos mucho beef sandwich Lucho beef last week the restaurant orde
Finger [1]

Answer:

Cost of a single Mucho beef burrito: \$5.5

Cost of a double Mucho beef burrito: \$6.5

Step-by-step explanation:

<h3> The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>

Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.

Set a system of equations:

\left \{ {{16x+22y=231} \atop {x=y-1}} \right.

To solve this system you can apply the Substitution Method:

1. Substitute the second equation into the first equation and solve for "y":

16(y-1)+22y=231\\\\16y-16+22y=231\\\\38y=231+16\\\\y=\frac{247}{38}\\\\y=6.5

2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":

x=6.5-1\\\\x=5.5

5 0
3 years ago
What is the slope of the line that contains the points (7, -3) and (-7, 4)?
tino4ka555 [31]
m = \dfrac{y_2 - y_1}{x_2 - x_1}

m = \dfrac{-3 - 4}{7 - (-7)}

m = \dfrac{-7}{14}

m = -\dfrac{1}{2}

Answer: The slope is -1/2.
8 0
2 years ago
Read 2 more answers
The authors of both passages agree that King’s "I Have
Norma-Jean [14]

The authors of both passages agree that King’s "I Have a Dream" speech: had a profound impact on many Americans (Option C).

<h3>What is a comprehension passage?</h3>

In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now,

  • Both the given passages use adjectives like 'magnificent' and 'famous' with respect to Martin Luther King's "I Have a Dream Speech".
  • The first passage claims, "Many people can still remember the first time they heard I Have a Dream, and they tend to speak of that memory with the reverence reserved for a religious experience."
  • While the second concurs with, "For most Americans, those words capture Kings unique genius. They express his immortal longing for freedom, a longing that is familiar to every person who dares imagine a future beyond unjust laws and unfair customs. The edifying universality of those four words who hasn't dreamed, and who cannot identify with people whose dreams of a better world are punished with violence helps to explain their durability."
  • In this context, we can deduce that King's I Had A Dream Speech had a profound impact on Americans, i.e., option C is correct.

To learn more about comprehension passages, refer to the link:

brainly.com/question/24716030

#SPJ4

3 0
1 year ago
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