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alukav5142 [94]
3 years ago
8

If f(x) = 4x-3, which of the following is the inverse of f(x)?

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer:

\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}

Step-by-step explanation:

f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}

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The perimeter of a triangle is 37. One side of triangle is one foot longer than the second side. The third side is tgree feet lo
disa [49]

Answer:

First: 12 feet

Second: 11 feet

Third: 14 feet

Step-by-step explanation:

Let the second side of the traingle be x

First side of the triangle= x+1

Third side of the triangle= x+3

x+x+1+x+3 = 37

3x+4 = 37

3x = 37-4

3x = 33

x = 11

First side of the triangle= (11)+1

= 12

Second side of the triangle= 11

Third side of the triangle= (11)+3

= 14

5 0
3 years ago
What is the exact area of a circle whose radius is 9 yd? Enter your answer in the box. Express your answer in terms of
atroni [7]

Answer:

81\pi

Step-by-step explanation:

Area = pi*r^2

Area = pi*9^2

Area = 81\pi

6 0
3 years ago
Read 2 more answers
I really need help and this answered ASAP. thank you and sorry.
Semenov [28]

9514 1404 393

Answer:

  $2.50

Step-by-step explanation:

The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.

Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.

The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.

  (8n +4p) -4(3n +2p) = (16.00) -4(6.50)

  -4n -4p = -10.00 . . . . . . . . . . . simplify

  n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)

The total cost for one notebook and one pen is $2.50.

__

<em>Additional comment</em>

The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.

One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.

4 0
3 years ago
Read 2 more answers
Pls pls help i realy need help
lisov135 [29]

Answer:

a <= 3

Step-by-step explanation:

4 0
3 years ago
What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.
Kryger [21]

Answer:

<h2>√126</h2>

Option D is the right option.

solution,

\frac{ac}{bc}  =  \frac{bc}{dc}  \\ or \:  \frac{18}{ m}  =  \frac{m}{7}  \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \:  {m}^{2}  = 126 \\ m =  \sqrt{126}

Hope this helps..

Good luck on your assignment.

Hope

6 0
3 years ago
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