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Helga [31]
2 years ago
7

Place the steps for finding f -1(x) f(x)=2x+5

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

Answer:

f^{-1}(x) = \frac{x-5}{2}

Step-by-step explanation:

f(x) = 2x+5

Step 1) Replace y = f(x)

y = 2x+5

Step 2) Exchange x and y

x =2y+5

Step 3) Solve for y

x =2y+5

Subtracting both sides by -5

x - 5= 2y

2y = x-5

Dividing both sides by 2

y = \frac{x-5}{2}

Step 4) Replace y = f^{-1}(x)

f^{-1}(x) = \frac{x-5}{2}

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Can you help me in my math work
Ket [755]

The LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

The LCM of 27, 81, and 54, using the division method is <u>162</u>.

In the first question, we are asked to find the LCM of the given numbers using the prime factorization method.

(i) 18, 24.

Prime factorization gives:

18 = 2*3², and 24 = 2³*3.

The LCM is the product of the highest power of each prime factor.

Thus, LCM = 2³*3² = 8*9 = 72.

Thus, the LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 16, 40 is 80.

(iii) 30, 36 is 180.

(iv) 28, 44 is 308.

(v) 20, 32 is 160.

(vi) 20, 135 is 540.

(vii) 45, 75 is 225.

(viii) 36, 84 is 252.

(ix) 12, 18, 24 is 72.

(x) 25, 35, 45 is 1575.

(xi) 9, 15, 21 is 315.

(xii) 25, 50, 75 is 150.

In the second question, we are asked to find the LCM of the given numbers, using the division method.

(i) 27, 81, 54.

The division method gives:

\underline{2|27,81,54}\\\underline{3|27,81,27}\\\underline{3|9,27,9}\\\underline {3|3,9,3}\\\underline{3|1,3,1}\\{1|1,1,1}

The LCM is the product of all the numbers used for division.

LCM = 2*3*3*3*3*1 = 162.

Thus, the LCM of 27, 81, and 54, using the division method is <u>162</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 18, 45, 63 is 630.

(iii) 35, 55, 100 is 7700.

(iv) 210, 140, 315 is 1260.

(v) 112, 120, 150 is 8400.

(vi) 144, 180, 300 is 3600.

Learn more about LCM at

brainly.com/question/420337

#SPJ1

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In 1910, halley's comet traveled close to earth about 1/7 of the distance from the earth to the sun. Earth's distance from the s
otez555 [7]

Answer:

Imma answer this because I don’t want this to get deleted for not bein answered and there free point who wouldn’t want them, lol :)

Step-by-step explanation:

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2 years ago
Do you guys know what 12x34 is need a little help
pickupchik [31]
12 times 34 is 408. Hope that helped.
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What is the solution to the equation x + 7.5 = 21.5? A.x = 2.9 B.x = 7.8 C.x = 14 D.x = 29
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X+7.5=21.5
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