need help ASP. find the inverse function of f(x)=3x-4​

Answers

Answer 1

Answer:

f (x) = 1

substitute 1 for x

f (1) = 3 (1) - 4

= 3 - 4

= -1

Answer 2

Answer:

[tex]y = \frac{ x + 4}{3} [/tex]

Step-by-step explanation:

Let f(x) =y

y= 3x-4

[interchanging variables]

x=3y-4

[making y the subject]

3y=x+4

Therefore the inverse of the function is

[tex]y = \frac{x + 4}{3} [/tex]


Related Questions

Someone help thanksss

Answers

Answer:

-9x³(x+3)(x-7)

Step-by-step explanation:

-9x^5+36x^4+189x³=

-9x³(x²-4x-21)=

-9x³(x+3)(x-7)

36+x=12-3x


Plz help quick

Answers

Answer:

x = -6

Step-by-step explanation:

36 + x = 12 - 3x

36 + x - 36 = 12 - 3x - 36

x = -3x - 24

x + 3x = -3x - 24 + 3x

4x = -24

4x / 4 = -24 / 4

x = -6

Answer:

x = -6

Step-by-step explanation:

36 + x = 12 - 3x

We need all terms with x on the left side.

Add 3x to both sides.

36 + x + 3x = 12 - 3x + 3x

36 + 4x = 12

We need all terms that are just numbers on the right side. Subtract 36 from both sides.

36 - 36 + 4x = 12 - 36

4x = -24

We have 4x, which means 4 multiplied by x, on the left side. We want x alone. Divide both sides by 4.

x = -6

Simplify (36/81) raised to the power -1/2

Answers

Step-by-step explanation:

Hey, there!!

I hope you mean,

[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]

and

[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]

[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]

[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]

so, the answer is 6/9 or, 2/3.

Hope you are searching this...

Write an expression to represent:
Eight more than the product of two and a number
x
xx.

Answers

Answer:

2x+8

Step-by-step explanation:

The mathematical expression will be;

⇒ 2x + 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ '' Eight more than the product of two and a number x''.

Now,

Since, The algebraic expression is,

⇒ '' Eight more than the product of two and a number x''.

Hence, We get the mathematical expression as;

⇒ Product of 2 and number x = 2x

And, 8 more than 2x = 2x + 8

Thus, We get the mathematical expression as;

⇒ 2x + 8

Learn more about the mathematical expression visit:

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Solve for w -24=-3w+21

Answers

Answer:

w = 11.25

Step-by-step explanation:

To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.

w - 24 = -3w + 21

To do this, we should first add 24 to both sides of the equation.

w - 24 + 24 = -3w +21 + 24

If we simplify, we get:

w =  -3w + 45

Next, we should add 3w to both sides of the equation.

w + 3w = -3w + 3w + 45

4w = 45

Finally, we can divide both sides by 4.

4w/4 = 45/4

w = 11.25

Hope this helps!

7m + 3mn when m = 8 and n = 14

Answers

Answer:

392

Step-by-step explanation:

If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.

[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]

Hope this helped!

Answer:

392 is the correct answer

5х + 10 = 24 + 6x – 3х​

Answers

Answer:

Here, 5x + 10 = 24 + 6x - 3x

or, 5x  + 10 = 24 + 3x ( 6x-3x )

or, 5x - 3x = 24 - 10

or, 2x = 14

or, x = 14/2

Hence answer is 7.

given that is a = 3 , b = -4 and c = -2 evaluate 3a - b / 2c + 3a - c / c - b

Answers

Answer:

5.2

Step-by-step explanation:

= 3a - b / 2c + 3a - c / c - b

= 3(3) - (-4) / 2(-2) + 3(3) / -2 -(-4)

= 9 + 4 / -4 + 9 / -2+4

= 13 / 5 / 2

= 13 / 5 * 2

= 2.6 * 2

= 5.2

Answer:

Step-by-step explanation:

[tex]\frac{3a -b}{2c}+\frac{3a-c}{c-b}=\frac{3*3-[-4]}{2*(-2)}+\frac{3*3-[-2]}{-2-[-4]}\\\\=\frac{9+4}{-4}+\frac{9+2}{-2+4}\\\\=\frac{13}{-4}+\frac{11}{2}\\\\=\frac{-13}{4}+\frac{11*2}{2*2}\\\\=\frac{-13}{4}+\frac{22}{4}\\\\=\frac{-13+22}{4}\\\\=\frac{9}{4}\\\\=2\frac{1}{4}[/tex]

please help :) Write the number shown in standard notation. 5.002 x 10 to the 7 power A. 5,002,000,000 B. 50,020,000 C. 5,002,000 D. 50,020,000,000

Answers

Answer:

Hey there!

That would be 50,020,000, and choice B would be correct.

Let me know if this helps :)

Show the following conjectures are false by finding a counterexample.

13. All prime numbers are odd.

14. If the product of two numbers is positive, then the two numbers must both be positive.

15. If the sidewalk is wet, then it has been raining.

Answers

''All prime numbers are odd."

That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.

14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.

Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long

Answers

Answer:

See Explanation

Step-by-step explanation:

1.

Standard Form: 2 * 10^8

The number is expanded as follows:

[tex]10^8 = 100,000,000[/tex]

So: [tex]2 * 10^8 = 2 * 100,000,000[/tex]

[tex]Expanded\ Form: 200,000,000[/tex]

Word Form: Two hundred million

2.

Standard Form: 3.5 * 10^7

The number is expanded as follows:

[tex]10^7 = 10,000,000[/tex]

So: [tex]3.5 * 10^7 = 3.5 * 10,000,000[/tex]

[tex]Expanded\ Form: 35,000,000[/tex]

Word Form: Thirty five million

3.

Standard Form: 9 * 10^9

The number is expanded as follows:

[tex]10^9 = 1000,000,000[/tex]

So: [tex]9 * 10^9 = 9 * 1000,000,000[/tex]

[tex]Expanded\ Form: 9,000,000,000[/tex]

Word Form: Nine billion

4.

Standard Form: 5.5 * 10^7

[tex]10^7 = 10,000,000[/tex]

So:

[tex]5.5 * 10^7 = 5.5 * 10,000,000[/tex]

[tex]Expanded\ Form: 55,000,000[/tex]

Word Form: Fifty five million

5.

Standard Form: 4.3 * 10^7

[tex]10^7 = 10,000,000[/tex]

So:

[tex]4.3 * 10^7 = 4.3 * 10,000,000[/tex]

[tex]Expanded\ Form: 43,000,000[/tex]

Word Form: Forty Three million

Which solid figure has 10 edges?

Answers

Answer:

The answer to this question is pentagonal prism or pentagonal pyramid.

How do you solve this systems of equations problem

2r +3s=-5
6s=2r

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2r + 3s = - 5 → (1)

6s = 2r → (2) ( divide both sides by 2 ), then

r = 3s

Substitute r = 3s into (1)

2(3s) + 3s = - 5

6s + 3s = - 5

9s = - 5 ( divide both sides by 9 )

s = - [tex]\frac{5}{9}[/tex]

Substitute this value into either of the 2 equations and evaluate for r

Substituting into r = 3s, then

r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]

Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]


What is the solution to the equation
X/6 = 4/12
X=1
x= 2
x=4
x = 6

Answers

Answer:

x = 2

because we have the same question and i got it right its hard to explain but trust me its x = 2

The solution to the given equation is 2. Therefore, option B is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x/6 = 4/12.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, x/6 = 4/12

By cross multiplication, we get

12x=24

⇒ x=2

The solution to the given equation is 2. Therefore, option B is the correct answer.

To learn more about the solution of an equation visit:

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Simplify the following expression: a + 2c − 5b − c + a − b 2a − 6b + 2c 2a − 6b + c a − 6b + c a − 5b + 2c

Answers

Answer:

=−ab2+2ac2+2ac+2a−28b+3c

Step-by-step explanation:

a+2c−5b−c+a−b2a−6b+2c2a−6b+ca−6b+ca−5b+2c

=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c

Combine Like Terms:

=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c

=(−ab2)+(2ac2)+(ac+ac)+(a+a)+(−5b+−6b+−6b+−6b+−5b)+(2c+−c+2c)

=−ab2+2ac2+2ac+2a+−28b+3c

Answer:

=−ab2+2ac2+2ac+2a−28b+3c

Answer:

B. 2a − 6b + c

Step-by-step explanation:

Took the test :)

14. If EF bisects CD, CG = 5x - 1, GD = 7x - 13, EF = 6x - 4, and GF = 13, find EG.

3. EF = 6-a. and Cr -13, cihad ES

Answers

Greetings from Brasil....

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

EG = 19

(see attachment)

Find mZPQR.
help asap

Answers

Answer: D) 72

======================================

Work Shown:

Angle PQR = (far arc - near arc)/2

2x+72 = ( (2x+252) - (2x+108) )/2

2x+72 = 144/2

2x+72 = 72

2x = 72-72

2x = 0

x = 0/2

x = 0

-------------

Angle PQR = 2x+72

Angle PQR = 2(0)+72

Angle PQR = 72 degrees

George said that 6 x 10 to the 3 power is 180. do your Agree of Disagree? if you disagree explain the mistake he made and the correct answer. (HELP)

Answers

Answer:

The correct answer is 6000

Step-by-step explanation:

I disagree because 10 to the 3rd power = 1000 x 6 = 6000

The mistake he made was that George multiplied all of the number so, 6 x 10 x 3 = 60 x 3 = 180.

Please solve. 6(3 + 8) - 4/5

Answers

G'Day mate! Here's the answer:

53 1/3

1. 6(3 + 6) - 4/5

2. 6 x 3 is 18, and 6 x 8 is 48

3. 18 plus 48 is 66

4. 66 - 4/5 = 266/5

5. 266/5 as mixed number is 53 1/5

Answer:

[tex]\Large \boxed{\frac{326}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 6(3 + 8) - \frac{4}{5}[/tex]

Solving brackets.

[tex]\displaystyle 6(11) - \frac{4}{5}[/tex]

[tex]\displaystyle 66 - \frac{4}{5}[/tex]

Subtract.

[tex]\displaystyle \frac{66}{1} - \frac{4}{5}[/tex]

[tex]\displaystyle \frac{66 \times 5}{1 \times 5} - \frac{4}{5}[/tex]

[tex]\displaystyle \frac{330}{5} - \frac{4}{5}[/tex]

[tex]\displaystyle \frac{330-4}{5}[/tex]

[tex]\displaystyle \frac{326}{5}[/tex]

The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm?

Answers

Answer:

The base is 16 cm long.

Step-by-step explanation:

A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.

A = 1/2 * bh

32 = 1/2 * b * 4

32 = 2b

b = 16cm

Please solve this, will rate 5 stars and mark as STAR!​

Answers

Answer:

[tex]\boxed{5 \cdot \sqrt{2} \cdot \sqrt[6]{5} }[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }[/tex]

[tex]\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}[/tex]

[tex]\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}[/tex]

[tex]\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }[/tex]

[tex]250=2 \cdot 5^3[/tex]

[tex]\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5 \sqrt[3]{2}[/tex]

Once

[tex]\sqrt[6]{2} \cdot \sqrt[6]{5} = \sqrt[6]{10}[/tex]

We have

[tex]5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5}[/tex]

We can proceed considering the common base of exponentials

[tex]\sqrt[3]{2} \cdot \sqrt[6]{2} = 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}[/tex]

Therefore,

[tex]5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2} \cdot \sqrt[6]{5}[/tex]

What type of graph is this?
not a regular graph
a regular graph

Answers

that is not a regular graph

At Little Rock School 476 students ride their bike to school. This is 85% of the total
students in the school. How many total students are in the school? ​

Answers

Answer:

560 students

Step-by-step explanation:

85/100=476

x= 476 x 100/85 x=560

Answer:c560 students is the answer your welcome!!!!!

Step-by-step explanation:

Simplify. 1/2−3(1/2+1)^2

Answers

Answer:

-6.25

Step-by-step explanation:

The answer is -6.25.

What is the area of a rectangle with side lengths of 5/12 foot and
2/3 foot?

Answers

Answer:

5/18

Step-by-step explanation:

Lets write an equation:

5/12*2/3=5*2/12*3.

5*2=10,

12*3=36.

10/36=5/18

The answer is 5/18.

Hope this helps!

Write the equation for a parabola with a focus at (-2,5) and a directrix at y=3.

Answers

Answer:

(x+2)²=4(y-4)

or y=1/4 (x+2)²+4

Step-by-step explanation:

directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :

(x-h)²=4p(y-k)

vertex(h,k) : the vertex is half way between the focus and the directrix

y(vertex)=y(focus)+directrix/2

y=5+3/2 ⇒8/2=4

x is the same as the c of the focus =-2

vertex (-2,4)

to find the distance (p) which is the distance between the vertex and focus

p=5-4=1

substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)

(x-(-2)²=4(1)(y-4)

(x+2)²=4(y-4)

At a meeting of 3 representatives from each of 6 different companies, each person shook hands once with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place

Answers

Answer:

135

Step-by-step explanation:

From the given information:

The total number of handshakes can be represented by the combination of 18 combination 2, which can be mathematically expressed as:

[tex]\mathbf{^{18}C_2}[/tex] .

where;

[tex]\mathbf{^{18}C_2}[/tex] is the number of ways two people can shake themselves from a total of 28 people without much regard about the order of arrangement of the handshakes.

[tex]\mathbf{^{18}C_2 = \dfrac{18!}{2!(18-2)!}}[/tex]

[tex]\mathbf{= \dfrac{18!}{2!(16)!}}[/tex]

= 153

From these 6 companies, the possibility that there will be handshakes from within the company is [tex]\mathbf{^3 C_2}[/tex]

[tex]\mathbf{^3 C_2} = \dfrac{3!}{2!(3-2)!}[/tex]

[tex]= \mathbf{ \dfrac{3 \times 2!}{2!(1)!}}[/tex]

= 3

However, number of companies = 6

∴ the number of handshakes within companies = 3 × 6 = 18

But we are being told that :

If the representatives did not shake hands with people from their own company, how many handshakes took place

Therefore, the number of handshakes that took place in regard to the given criteria = 153 - 18

= 135

how do you solve this problem (x+5)²​

Answers

Answer:

x = -5

Step-by-step explanation:

Solve for x:

(x + 5)^2 = 0

Take the square root of both sides:

x + 5 = 0

Subtract 5 from both sides:

Answer:  x = -5

You roll a die 3 times, what is the probability that each time you will roll at least a 5?

Answers

Answer:

3/6

Step-by-step explanation:

You Walked around a circle which has diameter of hundred metre how far you worked​

Answers

Answer:

314.16 metres

Step-by-step explanation:

The answer to this problem is essentially just the circumference of the circle.

The circumference, or perimeter, is denoted by C = 2πr = πd, where r is the radius (and half the diameter) and d is the diameter.

Here, the diameter is 100 metres, so plug this in for d:

C = πd

C = π * 100 ≈ 314.16 metres

The answer is about 314.16 metres.

~ an aesthetics lover

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