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3 years ago

Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

8 0

Answer:

B. f−1(x) = The quantity of 4x plus 3, divided by 5

Step-by-step explanation:

Given

$f(x) = \frac{5x-3}{4}$

We have to find the inverse of the function

$Let\\f(x) = y\\y=\frac{5x-3}{4}\\4y=5x-3\\4y+3=5x\\\frac{4y+3}{5} =y$

So, the inverse of f(x) is:

$\frac{4y+3}{5}$

Hence,

The correct answer is:

<u>B. f−1(x) = The quantity of 4x plus 3, divided by 5 ..</u>

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Expresión factorizada <br> 12abxyz - 3xyz - 4 ab + 1

BARSIC [14]

Answer:

12+3-4+1=12

Step-by-step explanation:

5 0

3 years ago

30 points! please help!

stiks02 [169]

Answer:

Therefore

15.

$25c^{2}-9$

16.

$(y+8)(y+1)$

17.

$(x-3y)(x-7y)$

Step-by-step explanation:

15.

$(5c^{2} +3)(5c^{2}-3)$

Using the Identity (a + b)(a - b) = (a² - b²) we get

Consider here a = 5c and b = 3 then we will have

$((5c)^{2} -(3)^{2})=25c^{2}-9$ .....as required

16.

$y^{2}+9y+8$

Here Factorize 8 such that sum up to be 9

∴ 8 × 1 = 8 and 8 + 1 =9

$y^{2}+9y+8\\y^{2}+8y+y+8\\y(y+8)+1(y+8)\\(y+8)(y+1)$ ... as required

17.

$x^{2}-10xy+21y^{2}$

Here Factorize 21 such that sum up to be -10

∴ -3 × -7 = + 21 and -3 - 7 = - 10

$x^{2}-10xy+21y^{2}\\x^{2}-3xy-7xy+21y^{2}\\x(x-3y)-7y(x-3y)\\(x-3y)(x-7y)$ ........as required

Therefore

15.

$25c^{2}-9$

16.

$(y+8)(y+1)$

17.

$(x-3y)(x-7y)$

4 0

3 years ago

Read 2 more answers

Number 28 ignore the bubbled in answer

Ghella [55]

Answer:

y = -7x+34

Step-by-step explanation:

We have 2 points, so we can find the slope

m = (y2-y1)/(x2-x1)

= (6--1)/(4-5)

= (6+1)/(4-5)

= 7/-1

= -7

We can use point slope form to make an equation

y-y1 = m(x-x1)

y--1 = -7(x-5)

y+1 = -7(x-5)

Distribute

y+1 = -7x+35

Subtract 1 from each side

y+1-1 = -7x+35-1

y = -7x+34

3 0

4 years ago

Tionna has saved dimes and quarters in her piggy bank. Define the variables

olya-2409 [2.1K]

Step-by-step explanation:

y = .10d + .25q

y is the total amount, if you have d dimes and q quarters

4 0

3 years ago

You cut off half of a strip of paper. then you cut half of the piece was left. then you cut half of the remaining piece.

lianna [129]

Answer:

The fraction of the original strip left is $\frac{1}{8}$ .

Step-by-step explanation:

We have that,

A strip of paper is cut in $\frac{1}{2}$ . So, the strip of paper left is $\frac{1}{2}$ .

Now, again the remaining part is cut in half. The part left will be $\frac{1/2}{2}$ i.e. $\frac{1}{4}$ .

Finally, the remaining part is again cut in half.

We get, the final part of the paper remaining is $\frac{1/4}{2}$ i.e. $\frac{1}{8}$ .

So, the fraction of the original strip left is $\frac{1}{8}$ .

6 0

3 years ago