Please answer the question and give an explanation. Will give brainliest.

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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:

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:

Step-by-step explanation:

see attached sketch

Answer:

sqrt 136

Step-by-step explanation:

just took the a pe x

Answer:

the answer for this question is 18

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:

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

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

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:

The slope is -4/3

I hope this helps :)

Answer:

look at it

Step-by-step explanation:

Answer:

Its Graph B

Step-by-step explanation:

I got the quiz correct

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:

(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:

-25

Step-by-step explanation:

-9r - 7

-9(2) - 7

-18 - 7

-25

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.

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: 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:

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:

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:

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

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:

f + 6

Step-by-step explanation: