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3 years ago

What would the inverse be?

Mathematics

1 answer:

marta [7]3 years ago

8 0

Find the inverse of f(x)=2x-3.

1) replace "f(x)" with "y." Then y=2x-3.
2) interchange x and y. Then x=2y-3. x+3
3) solve this result for y. Then 2y=x+3, or y=----------------
2
-1 -1 x+3
4) replace y with f (x): f (x) = ---------
2

This is the procedure, with the answer given.

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K is the midpoint of JL JK=3x-1 and KL=2x+8 find JL

Masteriza [31]

Answer:

JL = 52

Step-by-step explanation:

It is given in the question that K is the midpoint of JL.

So, JK = KL ......... (1)

Now, given that, JK =3x - 1 and KL = 2x + 8

Therefore, from equation (1), we can write

3x - 1 = 2x + 8

⇒ x = 9

So, JK = 3x - 1 = 3(9) -1 = 26 and KL = 2x + 8 = 2(9) + 8 = 26

Hence, JL = JK + KL = 26 + 26 = 52. (Answer)

3 0

3 years ago

What is the best free website to learn slope? I haven't learned a single thing in school since the pandemic and I need to learn

Nata [24]

Answer:

I would recommend khan academy

khan academy teaches you anything you need to learn step by step it should help you out

6 0

3 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

3 years ago

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $

yawa3891 [41]

Answer:

Step-by-step explanation:

Charlie has $27

He spent $3 for kid's meal for his little brother

Remaining money=27-3=$24

Number of Sandwiches he wants to buy = 6

Money he needs to pay for each sandwich = 24/6 = $4

8 0

3 years ago

In triangle abc, the angle c is six times as large as angle

mote1985 [20]

The interior angles of a triangle add up to 180 degrees

a = 1st angle, b = 2nd angle, c = 3rd angle

c = 6a
b = a + 60
a + b + c = 180

a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle

b = a + 60
b = 15 + 60
b = 75 <=== and another one

c = 6a
c = 6(15)
c = 90 <=== and the last angle

3 0

3 years ago