2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].

According to the given equation.

We have a function.

[tex]f(x) = 3(x-4)^{2} +5[/tex]

The above function can be written as

[tex]y = 3(x-4)^{2} +5[/tex]

Write the above function for x.

[tex]\implies y -5 = 3(x-4)^{2}[/tex]

[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]

[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]

Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].

We get

[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]

Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

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Answer: y = .15x + 1250

y = weekly salary

x = sales

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

First you would subtract 9 from 393 which is 384 then you would divide the 384 remaining student among the 8 busses which is 48.

Hope this helps.

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

Answer:

The domain is the set of all the values of x .

The range is the set of all the values of y.

Domain:

{0,4,5,10}

Range:

{4,9,2}

Step-by-step explanation:

your answer is is from an algebra solver called mathwey but an a instead of  an e it solves everything i promise i use it all the time

Answer: the answer is P(HHlC') = 1/2

Step-by-step explanation:

Answer:

The slope of the line would be 77/51 or 1.5098 if you convert it.

Step-by-step explanation:

Slope is rise over run so you find the difference between the Ys which is 77 and that's your rise so it's the top. You then find the difference btween the Xs and its 51 and that's your run so it's the bottom.

HI how was your day today

Answer:

$7.78

Step-by-step explanation:

140/18 = 7.78

Answer:

You subtract because you're taking away money when you're withdrawing.

Answer:

Because withdrawal means taking out money from a total amount of money. That is we take away.

Answer:

option d

hope it will help u

Answer:

I think its 2 gallons I'm soooo sorry i got it wrong

9514 1404 393

Answer:

  7 mpg

Step-by-step explanation:

The equation shown on the graph tells you the unit rate is 7. (The unit rate is the coefficient of x.)

The truck travels 7 miles per gallon of gas.

Answer:

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

Step-by-step explanation:

(8x • (y^3)) +  x • (x - y)^3

2^3xy^3 +  x • (x - y)^3

Evaluate :  (x-y)^3   =   x^3-3x^2y+3xy^2-y^3

Pull out like factors :

x^4 - 3x^3y + 3x^2y^2 + 7xy^3  =

x • (x^3 - 3x^2y + 3xy^2 + 7y^3)

x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube

Answer:

Option 4)  y - 1 = -2(x - 0)

Step-by-step explanation:

Given the slope, m = -2, and the y-intercept, (0, 1):

Substitute these values into the following point-slope form:

y - y1 = m(x - x1)

y - 1 = -2(x - 0)  ← This is the point-slope form given the slope, m = -2, and the y-intercept, (0, 1).

Therefore, the correct answer is Option 4: y - 1 = -2(x - 0)

Answer:

8.9

Step-by-step explanation:

7.1/8.9=Qn/11.1

QN = 8.9

{ Parallel lines divide in proportion to their segments }

The solution is 8.9

The length of the side of the triangle PNO is QN = 8.9

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔPNO

Let the second triangle be ΔPQR

Now , ΔPNO ≅  ΔPQR

And , The corresponding sides of similar triangles are in the same ratio

So , substituting the values in the equation , we get

RO / PR = QN / PQ

On simplifying the equation , we get

7.1 / 8.9 = QN / 11.1

Multiplying both sides of the equation by 11.1 , we get

QN = ( 7.1 x 11.1 ) / 8.9

The value of QN will be

QN = 8.85

Rounding the value of QN to the nearest tenth , we get

QN = 8.9

Therefore , the value of QN is 8.9

Hence , The length of the side of the triangle PNO is QN = 8.9

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Answer: Slopes

Step-by-step explanation:

1. slope is [tex]\frac{4}{3}[/tex]

2. slope is [tex]\frac{1}{2}[/tex]

3. Slope is [tex]\frac{4}{2}[/tex] or 2

4. slope is [tex]\frac{3}{2}[/tex]

Answer:

107r³

Step-by-step explanation:

Answer:

SSS~

RQP

Step-by-step explanation:

36/15 = 2.4

48/20 = 2.4

72/30 = 2.4

Triangles are similar by SSS~.

triangle JKL is similar to triangle RQP

Answer:

1

Step-by-step explanation:

It is the only one that makes sense!

(Apologies since this super late; I hope future students will find this helpful)

Answer:

An angle measures 90º if and only if the angle is right.

Step-by-step explanation:

See the image below :)

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

The total capacity of the water tank is 1133.33 liters of water after leakage.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.

x*.30 = 340

x = 340/.30

x = 1133.33

Hence, the total capacity of the water tank is 1133.33

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Answer:

A one solution

Step-by-step explanation:

Answer:

A) [tex]x^{3} y^{4}[/tex]

B) [tex]-\frac{5x^{2} }{y}[/tex]

C) [tex]9m^{4}n^{4}[/tex]

D)[tex]\frac{1}{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps.

Answer:

c. tetrahedron

Step-by-step explanation:

Answer:

1.4 acres of grass can be planted.

Step-by-step explanation:

He has 9.24 pounds of seeds.

If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.

9.24 lbs × [tex]\frac{1acre}{6.6 lbs}[/tex] = 1.4 acres

Answer:

900[tex]\geq[/tex]50+10x; At least 85 hours

Step-by-step explanation:

Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.

50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.

To solve, subtract 50 from each side.

850[tex]\geq[/tex]10x

Divide by 10 to solve for x:

85[tex]\geq[/tex]x

Nick must work at least 85 hours.

Answer:

Step-by-step explanation:

If a quadratic function has only one zero, then it has multiplicity of two as it is a second degree polynomial and should have two roots. Since one root is a real number, the second root is also a real number being same as the first number.

The function could be:

We know the rule for single zero of quadratic equations

[tex]\\ \sf\longmapsto g(x)=(x-n)^2[/tex]

[tex]\\ \sf\longmapsto g(x)=(x-12)^2[/tex]

Done