Find the equation of the line below.Arrange your answer y=Mx+b where is the constant

Answer:

(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)

Ok, we have a rectangle of length x by r.

At the extremes of length r, we add two semicircles.

So the perimeter will be equal to:

Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).

The radius of the semicircles is r, and the perimeter of a circle is:

C = 2*pi*r

where pi = 3.14

Then the perimeter of the track is:

P = 2*x + 2*pi*r.

b) now we want to solve this for x, this means isolating x in one side of the equation.

P - 2*pi*r = 2*x

P/2 - pi*r = x.

c) now we have:

P = 660ft

r = 50ft

then we can replace the values and find x.

x = 660ft/2 - 3.14*50ft = 173ft

Answer:

Step-by-step explanation:

see attached sketch

Answer:

sqrt 136

Step-by-step explanation:

just took the a pe x

Answer:

The indifference point is 500 calls.

Step-by-step explanation:

Giving the following information:

Plan 1 charges ​$32 per month for unlimited calls and Plan 2 charges ​$17 per month plus ​$0.03 per call.

I assume we have to determine the indifference point between the two plans.

First, we need to structure the cost formulas:

Plan 1= 32

Plan 2= 17 + 0.03*x

x= call

Now, we need to equal both formulas:

32 = 17 + 0.03x

15= 0.03x

500= x

The indifference point is 500 calls.

Plan 1= $32

Plan 2= 17 + 0.03*500= $32

Answer:

Step-by-step explanation:

Answer: Function g reflected function f across the x-axis.

For function g, as x approaches negative infinity, g(x) approaches negative infinity.

Function f is symmetrical about the point (4,6).

The correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.

Here given that the function g(x)= -(x-4)²+6

vertex of the graph of the function g is

dg/dx=0

⇒2(x-4)=0

⇒x-4=0

⇒x=4

putting x=4 in g(x) , g(4)= -(0-0)²+6=6

Hence the vertex of the graph of g is (4,6).

The parent function is f(x)= x²

here the vertex of the function is (0,0).

Option A: This option is true as the graph of function g is the inverse image of f. So,  Function g is reflected of function f across the x-axis.

Option B: This option is incorrect. as the vertex of the function f is transformed to (4,6) which is the vertex of g(x).

Option C:  This option is true because

 [tex]\lim_{x \to- \infty} g(x)[/tex]

= [tex]\lim_{x \to- \infty} -(x-4)^2+6\\[/tex]

= -(∞-4)²+6

=-∞²+6

=-∞

Hence as x approaches to the -∞, g approaches to the -∞

Option D. This option is incorrect because

if the function is always decreasing its derivative is negative for all x∈R

dg/dx<0

⇒2(x-4)<0

⇒x-4<0

⇒x<4

so the function is decreasing for x<4 not for all x.

Option E: This option is incorrect. because g is not always rather it is positive for 4-√6 < x < 4+√6

g(x)>0

⇒-(x-4)²+6 >0

⇒-(x-4)²>-6

⇒(x-4)²<6  

⇒|x-4|<√6

⇒4-√6<x<4+√6

so, g(x) is positive for 4-√6 < x < 4+√6

Option E:
This option is incorrect as g(x) is symmetrical about line x=4.

Therefore the correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.

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Answer: B

(2.5, ∞)

Step-by-step explanation:

The solution set of the given logarithm inequality will be (2.5,∞).

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

As per the given logarithm function,

log₂(2x - 1) > 2

By log property

2x - 1 > 2 x 2

2x > 4 + 1

x > 5/2

x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).

Hence "The solution set of the given logarithm inequality will be (2.5,∞)".

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Answer:

the answer should be 0.96

Answer:

9178.5

Step-by-step explanation:

Follow PemDas

From Left to Right, you multiply 87 x 422, which is 36,714

Then, thake that number and divide it by 4, giving you 9,178.5

The total number of classes that were taken by you was 28.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question.

Registration fee for the dance class = $15

Amount of money charges for each dance class = $24

Amount of money paid for c number of classes = $687

⇒ [tex]687 = 24c + 15[/tex]

Solve the above linear equation in one variable for c.

[tex]687 = 24c + 15[/tex]

⇒ [tex]687 - 15 = 24c[/tex]

⇒ [tex]672 = 24c[/tex]

⇒ [tex]c = \frac{672}{24}[/tex]

⇒ [tex]c = 28[/tex]

Hence, the number of classes is 28.

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Answer:

f + 6

Step-by-step explanation:

The answer is [tex]x=64[/tex]

The first and last step is to multiply both sides by 8

[tex](\frac{x}{8} )(8)=8*8[/tex]

Multiplying [tex]\frac{x}{8}[/tex] by [tex]8[/tex] makes x by itself and 8*8 is 64

[tex]x=64[/tex]

Answer:

x=-3.5 or -7/2 (same thing)

y=21/5

Step-by-step explanation:

x intercept is when y=0

y intercept is when x=0

so

x intercept is

-6x=21

x=21/-6

x=-3.5

y intercept is

5y=21

y=21/5

Answer:

look at it

Step-by-step explanation:

dees nute lil d man you knoe bro sup

Answer:

The slope is -4/3

I hope this helps :)

Answer:

The distance between both points is 4√2 units

Step-by-step explanation:

Here in this question, we want to calculate the distance between two given points.

These points are (8,-3) and (4,-7)

Mathematically, the distance between two points can be given as;

D = √(x2-x1)^2 + (y2-y1)^2

where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3

Substituting these values;

D = √(8 -4)^2 + (-3-(-7)^2

D = √(4)^2 + (4)^2

D = √(16+16)

D = √(32)

D = 4√2 units

Answer:

32 Number C

Step-by-step explanation:

Answer:

Its Graph B

Step-by-step explanation:

I got the quiz correct

Answer:

Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.

Answer:

La edad de Mary es:

13 años

Step-by-step explanation:

Planteamiento:

2m + 7 = 33

m = edad de Mary

Desarrollo:

2m = 33 - 7

2m = 26

m = 26/2

m = 13

Comprobación:

2*13 + 7 = 33

26 + 7 = 33

Answer:

A=[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

Answer:

467

Step-by-step explanation:

7 is greater than 5 so the six is rounded to a 7

Hope this helped please mark me brainiest

Answer:

497

Step-by-step explanation:

If x ≥ 5, we round up.

If x < 5, we round down.

Since 7 ≥ 5, we round 496.739386253 to 497.

Answer:

the answer for this question is 18

Answer:

function gis defined as g (6) = - f (-4) graph

let's x represent a number

8-x = 4

Answer:

8-x = 4

Step-by-step explanation:

took the test and got it correct

Answer:

  $108.90

Step-by-step explanation:

James pays 75% of the amount, so he pays ...

  0.75 × $145.20 = $108.90

James' total after the discount is $108.90.

Answer:

-25

Step-by-step explanation:

-9r - 7

-9(2) - 7

-18 - 7

-25