graph of F(x), shown below, has the same shape as the graph of G(x) = x4, but it is shifted 4 units to the right. What is its equation?F(x) = _____

Answer:

  y = 15/x

Step-by-step explanation:

An inverse proportion has the equation ...

  y = k(1/x) . . . . k is the constant of proportionality

__

Solving for k, we find ...

  k = xy

The coordinates of the given point can be used to find k:

  k = (3)(5) = 15

Then the equation of the graph is ...

  y = 15/x

Answer:

28a+4b

Step-by-step explanation:

Answer:

85 and 91

Step-by-step explanation:

The perimeter of the rectangle ABCD is the sum of its side lengths, and the perimeter is 70 inches

The question is incomplete, as the figure of the square and the rectangle are not given; so I will give a general explanation

The perimeter (P) of the rectangle ABCD is calculated using:

P = AB + BC + CD + DA

Since the opposite sides are equal, the formula becomes

P = 2 * (AB + BC)

Assume that the values of AB and BC are 20 and 15, respectively;

The equation becomes

P = 2 * (20 + 15)

Evaluate the product

P = 70

Hence, the perimeter of the rectangle ABCD is 70 inches (using the assumed values)

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Answer:

MRP: 612.5

MRC: 350

Step-by-step explanation:

MRP: 1750 x 0.35/1= 612.5

MRC: cost to rent each vehicle per day

Answer:

  (10x² +12x +32) ft²

Step-by-step explanation:

The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.

__

Overall area:

  ((2x +6) ft) × (10x) ft = (10x² +60x) ft²

Pool area:

  ((6x -4) ft) × (8 ft) = (48x -32) ft²

Walkway area:

  overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)

  = (10x² +12x +32) ft²

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

The arc length is defined as the interspace between the two points along a section of a curve.

An arc of a circle is any part of the circumference.

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;

[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]

Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

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Answer:

The slope of the line is m = 2.

The y-intercept is (0,7).

The equation of the line in the slope-intercept form is y = 2 x - 7.

Step-by-step explanation:

The slope of a line passing through two points [tex]P = \left(x_{1}, y_{1}\right)[/tex] and [tex]Q = \left(x_{2}, y_{2}\right)[/tex]

is given by  [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

We have that [tex]x_{1} = 6[/tex] , [tex]y_{1} = 5y[/tex] , and [tex]y_{2} =7.[/tex]

Plug the given values into the formula for a slope: [tex]m=\frac{7-5}{7-6} =2[/tex].

Now, the y-intercept is [tex]b=y_{1} -mx_{1}[/tex] (or [tex]b =y_{2} -mx_{2}[/tex], the result is the same).

[tex]b=5-(2)*(6)=-7[/tex]

Finally, the equation of the line can be written in the form [tex]y=b+mx[/tex]:

[tex]y=2x-7[/tex]

Answer:

Step-by-step explanation:

The slope formula is used to find the equation of the line that passes through the points in this problem.

SLOPE FORMULA:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{7-5}{7-6}=\dfrac{2}{1}=2 }[/tex]

Use the slope-intercept form.

SLOPE-INTERCEPT FORM:

[tex]\Longrightarrow: \sf{Y=MX+B}[/tex]

[tex]\Longrightarrow: \text{The M represents the "slope".}[/tex]

[tex]\Longrightarrow: \text{The B represents the "y-intercept".}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

11t.

hope this helps you

2^12

Step-by-step explanation:

16^3 = 4096

2^7 =128

2^11 = 2048

2^12 = 4096

2^64 = really big (1.8x10^19 to 2 s.f)

Hope this helps!

Answer:5:15

Step-by-step explanation:

2:30+2 hour=4:30

4:30+45=5:15

The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.

Let J represent the event that junior is selected

Let S represent the event that senior is selected

Hence:

Probability when Jamie is selected as the last person

P(JSJ)  or P(SJJ)

P(JSJ) =6/14×8/13×5/12

P(JSJ) =10/91

P(SJJ) =8/14×6/13×5/12

P(SJJ) =10/91

P(Jamie selected)=P(JSJ) + P(SJJ)

P(Jamie selected)=10/91+10/91

P(Jamie selected)=20/91

P(Jamie selected)=0.2198×100

P(Jamie selected)=21.98%

P(Jamie selected)=22% (Approximately)

Therefore the probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.

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Answer:

Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%

Step-by-step explanation:

trust me

Answer:

[tex]x - 6 > - 2 \\ x > - 2 + 6 \\ x > 4[/tex]

Step-by-step explanation:

So, the answer is the first one

Answer:

{x | x ∈ R, x > 4}

Step-by-step explanation:

Given:  

x - 6 > -2

Add 6 to both sides:

⇒  x - 6 + 6 > -2 + 6

⇒  x > 4

Therefore, the solution set is:

{x | x ∈ R, x > 4}

Answer:

(45 miles) / ((1 hour) + (45 minutes)) =

11.4953143 m / s

Step-by-step explanation:

Answer:

25.71 mph

Step-by-step explanation:

45 miles in  1.75 hours

45 miles /1.75  hours =  25.71 mph

Answer:

Step-by-step explanation:

(-3m-2n³)²(4mn²p-4)

= (-3m-2n³)(-3m-2n³)(4mn²p-4)

= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)

= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)

= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6

lto complete the equation.

8

-)+?

8

2

2.

-2

-2

Mit

to it

-4

3

-3

4

6

[tex]x^2 -3x -70\\\\=x^2 -10x +7x -70\\\\=x(x-10)+7(x-10)\\\\=(x+7)(x-10)[/tex]

Answer:

(x - 10)(x + 7).

Step-by-step explanation:

This is a quadratic expression  and the factors are of the form (x + a)(x + b).

We have x^2 - 3x - 70.

- to find the values of a and b  in this expression we need 2 numbers whose product is -70 and whose sum is -3.

They are -10 and +7 , so the factors are:

(x - 10)(x + 7).

Answer:

873.6

Step-by-step explanation:

Answer:

873.6

Step-by-step explanation:

56 x 78 is 4368

4268 / 5 is 873.6

Answer:

The area is : 189.27

Step-by-step explanation:

Rectangle: 10 x 15

Semicircle or half circle: A=πr2=π·52≈   78.53982 = 78.54/2 = 39.27

Add Reactangle: 150 + 39.27

Answer:

The answer is shift up 5 units.

Answer:

Total Price = $750

Price Payed = $150

Step-by-step explanation:

Let me know if you need an explanation

Answer:

151200 cm³

Step-by-step explanation:

volume = (area of base) × (height of prism)

volume = bh/2 × H

volume = (32 cm)(63 cm)/2 × 150 cm

volume = 151200 cm³

Answer: h and d

Step-by-step explanation:
the answer is correct because it shows it please give this a like

Answer:

y = x^3 - 3x^2 - 22x +24

Step-by-step explanation:

I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.

Hope this helps :)

Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)

I realized I can't post the link, but that's the name of it

Answer 10

Step-by-step explanation:

its 8 when you round it to the nearest 10 its will give you 10

Answer:

D)   y > -ax + b

E)   y < ax - b

Step-by-step explanation:

The line with the negative slope (blue on attached diagram):

Therefore:  y > -ax + b

The line with the positive slope (red on attached diagram):

Therefore:  y < ax - b

Answer:

Step-by-step explanation:

Midpoint Formula

#1 : (-2,5) and (0. 2)

#2 : (0, 3) and (0, -3)

#3 : (-2, 0) and (-4, 0)

#4 : (9, 0) and (0, -7)