Which represents the inverse of the
function f(x) = 4x?
• h(x) = X + 4
O h(x) = x - 4
O h(x) = 3/4x
O h(x) = 1/4X

Answer + Step-by-step explanation:

x² + 4x + 29 = 0

⇔ [x² + 4x] + 29 = 0

⇔ [x² + 4x + 4 - 4] + 29 = 0  (just add and subtract 4)

⇔ [x² + 4x + 4] - 4 + 29 = 0

⇔ (x + 2)² - 4 + 29 = 0   (Replace x² + 4x + 4 by (x + 2)²)

⇔ (x + 2)² + 25 = 0

⇔ (x + 2)² = -25  impossible because (x + 2)² > 0 and  -25 < 0

Then there is no solution to the quadratic.

The graph of the dilated absolute value function can be seen below.

We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.

Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.

The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.

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sin 30 = x/4

sin 30 = 0.5

0.5 = x/4

x = 2

In the given diagram, the length of the side marked x is 21.34

From the question, we are to determine the value of the side marked x

In the given diagram,

Hypotenuse = x

Adjacent = 15

Included angle = 49°

Using SOH CAH TOA

We can write that,

cos 49° = 14 / x

∴ x = 14 / cos 49°

x = 21.34

Hence, the length of the side marked x is 21.34.

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Answer:

Step-by-step explanation:

b = 8/2 *4

b = 16

The correct answer is option D. Which is the even function is f (x) = x⁴.

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

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Answer:

40

Step-by-step explanation:

Lets put the 3/4 at the beginning and expand this bracket :

3/4(x-4) = 27

3/4x - 3 = 27

Now we add 3 to both sides :

3/4x = 30

Now we times both sides by 4 :

3x = 120

Now we divide both sides by 3:

x = 40

Hope this helped and brainliest please

Answer:

1) 0.25%

Step-by-step explanation:

Ratio= weight in g/ volume in ml

1. percent strength = 12.5× 10-³g /5ml × 100%

=0.25%

Answer:

0.25%

Step-by-step explanation: Convert mg to g (1g = 1000mg)

12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%

Answer:

[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]

Step-by-step explanation:

[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]

Answer: if you multiply decimals , the estimate value is necessary !

it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !

as;

2.234 = 2.23 , it will remain same but,

2.235 = 2.24 the 3 raised to 5 !!

Step-by-step explanation:

Answer:

Answer: {b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}

Step-by-step explanation:

A' = U-A

={b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}

Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]

Step-by-step explanation:

The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:

(x+3)(x-4/5)=y

however, this is not standard form. To get standard form we will need to expand the equation using FOIL.

x^2+3x-4x/5-12/5=

x^2+11x/5-12/5

and that would be your answer.

This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.

Answer:

(5 • x) - 9 = 2x + 23

Answer:

5L/2 < 100

Step-by-step explanation:

Let's get started!

Let :

⇒ Length = L

⇒ Width = L/4

It mentions the perimeter must be less than 100 inches.

Perimeter Formula :

Perimeter (Rectangle) = 2(Length + Width)

Then, the inequality formed will be :

⇒ 2 (L + L/4) < 100

⇒ 2 (5L/4) < 100

⇒ 10L/4 < 100

⇒ 5L/2 < 100

Length be L

width be L/4

Now

Perimeter=2(Length+Breadth)

The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

127.9-127.4=0.5

0.26-0.23=0.03

0.5/0.03=16.6666

We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.

Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.

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Answer: D

Step-by-step explanation:

Answer: [tex]\angle A+\angle D=180^{\circ}[/tex]

Step-by-step explanation:

Adjacent angles of a parallelogram are always supplementary.

The common ratio of the geometric sequence is -1/2

The geometric sequence is given as: -96, 48, -24, 12, -6, ...

The common ratio is calculated using:

r = T2/T1

From the sequence, we have:

T2 = 48

T1 = -96

This means that

r = 48/-96

Evaluate the quotient

r = -1/2

Hence, the common ratio of the geometric sequence is -1/2

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There were 2350 people supporting the home team

The given parameters are:

Total = 2500

Proportion that supports the visiting team= 6%

Let the number of people that supports the team be x.

So, we have:

x = (1 - Proportion that supports the visiting team) * Total

This gives

x = (1 - 6%) * 2500

Evaluate

x = 2350

Hence, there were 2350 people supporting the home team

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Answer:

Hoang has been at the hospital for 12 years while Bill has worked for 7 years.

Step-by-step explanation:

Let the years Hoang has worked as a nurse equal h and let the years Bill has worked as a nurse equal b.

Since Hoang has worked 5 years longer, h is five more than b:

h = b + 5

Now we move onto the situation 2 years ago. 2 years ago, Hoang had worked at the hospital two less than h or h-2 years while Bill has worked for b-2 which is two years less than b. We are also told that at the time, Hoang worked twice as longs, so

h - 2 = 2(b - 2)

This can be simplified:

h - 2 = 2b - 4

h = 2b - 2

We can use substitution. Since h = b + 5 and h = 2b - 2,

b + 5 = 2b - 2

b = 7

Therefore, since Hoang has worked five more years, h = 12. So, Hoang has been at the hospital for 12 years while Bill has worked for 7 years.

Answer:

=4m^2−11m+6

Step-by-step explanation:

Given algebraic expression:

(m-2)(m•2+2m-3)

To:

Simplify

Solution:

(m−2)(m(2)+2m−3)

=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)

=2m^2+2m^2−3m−4m−4m+6

=4m^2−11m+6

Answer:

For the answer to the question above, the numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, you can conclude that about 16% of the books have fewer than 150 pages.

Answer:

x = 14 units

Step-by-step explanation:

Answer:

Its 43.2

I hope this helps ^^

Answer:

43.2

Step-by-step explanation:

kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters

To go right once multiply be ten

To go left once divide by ten

4.32 • 10 = 43.2

Answer:

  57 feet

Step-by-step explanation:

A formula is given for the height of the ball, and all of the values necessary to evaluate the formula are also given. The height of the ball after 4 seconds is found by substituting the given values into the formula and doing the arithmetic.

__

  height = -16t² +vt +h . . . . . for t=4, v=72, h=25

  height = -16(4²) +72(4) +25 = -256 +288 +25 = 57

The height of the ball is 57 feet above the bottom of the hill 4 seconds after it was kicked.

_____

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Answer:

[tex]2y(x-1)(x^2+x+1)[/tex]

Step-by-step explanation:

[tex]~~~2x^3y-2y\\\\=2y(x^3-1)\\\\=2y(x-1)(x^2+x+1)~~~~~~~~~~;[a^3-b^3 = (a-b)(a^2 +ab+b^2)][/tex]

Answer:

M3 = 105°

angles on a straight line add up to 180°

M3 = 180 - 75

= 105°

Answer:

A. Three

explanation :

In Spherical Geometry, a triangle can have three right angles!

Answer:

175 ft^2

Step-by-step explanation:

split the pentagon into 5 triangles with base length 10ft and height 7ft. each triangle then has an area of 10 * 7 * 1/2 = 35 ft^2

then the pentagon has an area 35*5 = 175 ft^2