Which of the following expressions is the inverse of the function y = 3x + 4?

Answers

Answer 1

Answer:

Reverse the x and y:

x = 3y + 4.  

Now subtract 4 from both sides:

x - 4 = 3y

Divide both sides by 3:

1/3 x - 4/3 = y


Related Questions

Use the ALEKS graphing calculator to solve the system of equations.
y=-2x² - 4x-1
y = 3x+10
Round to the nearest hundredth.
If there is more than one solution, use the "or" button.
If applicable, click on "No solution".
(x, y) = (0
or
No
Solution
X
$
?

Answers

Answer:

This system has no solution in the set of real numbers.

Answer:

No solution

Step-by-step explanation:

The equations given are ;

y=-2x² - 4x-1

y = 3x+10

Using a graphing tool, the graphs of the equations are as shown in the attached.

From the graph, a solution occurs where the two graphs intersect. However, in this case, the graphs do not intersect hence there is no solution.

Which number line shows Point A at −4, Point B at 2.5, Point C at −2 and 1 over 2, and point D, which is the opposite of point A?

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

Your answer would be D

Step-by-step explanation:

:)

what's the area of the quadillateral​

Answers

Answer:

The area of the quadillateral is 360 degree.

Step-by-step explanation:

Hope this helped!

Have an amazing day!

find 24% of 165.........................................

Answers

Answer:

39.6

Step-by-step explanation:

Answer:

39.6

Step-by-step explanation:

If you need an explanation i can edit the answer and give you one.

2xsquared . 6 =



What does 2xsquared times 6 equal?

Answers

Answer:

24x

Step-by-step explanation:

Does this table of values represent a linear relationship? Explain your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.

To be a linear line you have to have a constant rate of change.

PLS HELP WILL GIVE BRAINLIST - Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?

Answers

Answer:

B

Step-by-step explanation:

Got it right on the test

(B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex]

Square root:The factor we can multiply by itself to obtain a given number is the number's square root. Sqrt, which stands for "square root of," is the sign for the term. Squaring an integer is the reverse of finding its square root.Steps to square root a trigonometric function -Find the given trigonometric equation.Put the square term on its own side of the equal sign.Taking square roots on both sides.By using inverse trigonometric functions, get the value of x.Explanation:

De Moivre's theorem: [tex]z=r*[cos([/tex]θ[tex])+i*sin([/tex]θ[tex])}[/tex][tex]][/tex]

Raising both sides to the [tex]n^{th}[/tex] - [tex]z^{n} =r^{n} *[cos(n*[/tex]θ[tex])+i*sin(n*[/tex]θ[tex])][/tex]

The square root operation undoes the squaring operation, so we'll be dealing with [tex]n=2[/tex].

If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.

[tex]z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )][/tex]

Therefore, the correct answer to the question is (B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex].

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What is the equation for the line in slope-intercept form?



Enter your answer in the box. _____

Answers

4

Step-by-step explanation:

so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.

Why are these triangles similar?​

Answers

the answer is AA

good luck

2(2.5x+8)=26
what does x=?
plz help

Answers

Answer:

x=2

Step-by-step explanation:

Hope this helps!

Answer:

simplifying x = 2  

Step-by-step explanation:

reordering the terms then solving + 5x =26

add -16 to each side of the equation

16 = -16 + 5x = 26+ -16

If nine inches represent twelve feet, how many inches
represent 48 feet?

Answers

Answer:

36 inches

Step-by-step explanation:

4 * 12 = 48

So multiply 9 by 4 also and you get 36.

What is the sum of 2x-5y+x+y

Answers

Answer:

3x - 4y

Step-by-step explanation:

2x + -5y + x + y

Group Like terms:

2x + x + -5y + y

2x + x = 3x

-5y + y = -4y

3x - 4y

What is this please help

Answers

The answer is YES because the solution will be 4

On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?

Answers

Answer:

2t+b=8.00

e+t+b=8.50

2e+2t=10.00

Step-by-step explanation:

what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4

Answers

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=4^x[/tex]

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]

[tex]k=0[/tex]

In other words, the range is all positive real numbers.

Thus,

[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?


Answers

Answer:

4b-5=71

19 books

Step-by-step explanation:

b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation

the parametric equations x = square root t, y= 3t - 4 for t in [ 0,4] define a plane curve

Answers

Answer:

a) We kindly invite you to read the explanation and check the image attached below for further details.

b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].

Step-by-step explanation:

a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.

b) The rectangular equation for the curve is:

[tex]t = x^{2}[/tex] (1)

[tex]y = 3\cdot t - 4[/tex] (2)

By applying (1) in (2), we get the following equation in rectangular form:

[tex]y = 3\cdot x^{2}-4[/tex]

Ashley and her four friends went trick-or-treating. Each one of them got 4/5 of a bag of treats. How many bags of treats did they have in total?

Answers

Answer:

4 bags

Step-by-step explanation:

Since there were five in total, and each got 4/5 evenly, it's just basic adding while subtracting the amount from the other bags.

So to get 5/5, which is a full bag, you take portions out of the others to create a full one. Write out 4/5, five times, and then subtract the needed portions from a separate bag to combine a full one.

What is the GCF of the expression -x2y22 - xy2z?​

Answers

Answer:

i dont onderstand Thais

When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?

Answers

Answer:

3(4x+8) or 4(3x+6) or 12(x+2)

Step-by-step explanation:

Answer:

3(4x+8) or 4(3x+6) or 12(x+2)

Step-by-step explanation:

Consider the following functions below.
f (x) = 2x² + 3x - 5
g(x) = 5x2 + 4x – 1
Which of the following represents g
g(x) – f(x)?
o - 3x² – x-4
o – 3x² + 7x - 6
3x²+x+4
3x² + 7x - 6

Answers

Are These The Options ? Please let me know

Jake had 42 frogs and gave the same number of frogs to each of his & cousins. If each cousin receives 14 frogs, did Jake have 2, 3, or 6 cousins?
pleas answer 100% honestly

Answers

Answer: 3 cousins

Step-by-step explanation:

Each of his cousins gets the same number of frogs, which is 14. To find the number of cousins Jake has, you need to divide 42 by 14, which is 3. Thus, Jake has 3 cousins.

i put my age as 98 years old

Answers

Answer:

grandpa

Step-by-step explanation:

love u grandpa

A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?

Answers

multiply 32 x 16 and you get 512 m.p.s

CosA-[1+sin2A]1/2
_______________=TanA
SinA-[1+sin2A]1/2

Answers

Answer:

[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } } =tanA[/tex]

Step-by-step explanation:

Step(I):-

Given

    [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]    

By using  sin²x+cos²x =1

now

  =  [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]

=    [tex]\frac{cosA-(sin^{2} +cos^{2}x +2sinAcosA)^{\frac{1}{2} } }{sinA-(sin^{2}x+cos^{2} x +s2sinAcosA){\frac{1}{2} } }[/tex]  

= [tex]\frac{cosA-(sinx +cosx)^{2} )^{\frac{1}{2} } }{sinA-(sinx+cos x)^2){\frac{1}{2} } }[/tex]

After simplification , we get

= [tex]\frac{cosA-(sinA+cosA)}{sinA-(sinA+cosA)}[/tex]

= [tex]\frac{-sinA}{-cosA}[/tex]

= tanA





4t + 2u
w;t= 2 and u= 1

Answers

15

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

If f(x) is differentiable for the closed interval [−4, 0] such that f(−4) = 5 and f(0) = 9, then there exists a value c, −4 < c < 0 such that

f(c) = 0
f '(c) = 0
f (c) = 1
f '(c) = 1

Answers

ummm just look at this photo

What is the answer to this?

Answers

Answer:

dfgv nm./

Step-by-step explanation:

A rancher decreased the number of his
herd from 150 head to 120 head of cattle.
What was the percent of decrease in the
number of cattle?
Please hurry

Answers

Answer:

20%

Step-by-step explanation:

150-120 is 30

30 is 1/5 of 150

1/5 is .2, which is 20%

Hope that helps~

List the subsets of the set { dog,cat,rabbit}

Answers

Answer: so dog goes to cat, dog goes to rabbit and cat goes to rabbit I think

Step-by-step explanation:

The possible Subset is

Sub sets :  {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.

What is a subset ?

If each constituent of a set A is a member of a different set B, then the sets A and B are subsets of one another.

To put it another way, A⊂B A and B stand for the subset connection.

Set A is referred to as a subset of Set B if all of the elements in Set A are also found in Set B. In other words, Set A is a part of Set B. A is the subset of B, for instance, if set A contains the elements X, Y, and set B contains the elements X, Y, and Z.

We have set,

Set :  {dog, cat, fish}

Then, the subset contain the elements of set A as

Sub sets :  {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.

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