Chelsea wants to join a fitness club. The fitness club charges and initial membership fee of $30 and a monthly fee of $10.50. She has $114 to spend on a membership at the fitness club. Right and solve an equation to find the number of months Chelsea can be a member of the fitness club

Answer:

m = (g - 5) / (a + 3)

Step-by-step explanation:

g-3m=am+5​

g - 5 = am + 3m

g - 5 = (a + 3)m

(g - 5) / (a + 3) = m

Answer:

[tex]\displaystyle m=\frac{g-5}{3+a}[/tex]

Step-by-step explanation:

Equation Solving

To solve an equation for a specific variable, we perform a sequence of steps to have that variable isolated or make it the subject of the equation.

We are given the expression:

[tex]g - 3m=am+5[/tex]

And it's required to make m the subject of the equation. This means we have to isolate m at the left side of the equation.

First, multiply both sides by -1;

[tex]-g + 3m=-am-5[/tex]

Add am:

[tex]-g + 3m+am=-5[/tex]

Add g:

[tex]3m+am=-5+g[/tex]

The variable m is found in both term, thus we factor it out:

[tex]m(3+a)=g-5[/tex]

Dividing by 3+a:

[tex]\mathbm{\displaystyle m=\frac{g-5}{3+a}}[/tex]

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line:  Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1.  Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

Answer:

4

Step-by-step explanation:

Answer:

225 km

Step-by-step explanation:

D=S*T

D=45*5=225

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Answer:

English translation please.....

Answer:

$4.00

Step-by-step explanation:

(1.06) = 4.24

x= 4.24/1.06

x= $4.00

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

Given:

A figure.

To find:

The value of x and y.

Solution:

In triangle ADC, all angles are equal, so it is an equilateral triangle.

We know that, all sides of an equilateral triangle are equal.

[tex]AD=AC[/tex]       ...(i)

[tex]3x-5=5y-4[/tex]                   ...(ii)

In triangle ABD,

[tex]\angle BAD=\angle ABD[/tex]

Base angles are equal, so triangle ABD is an isosceles triangle.

[tex]AD=BD[/tex]     ...(iii)

Using (i) and (iii), we get

[tex]AC=BD[/tex]

[tex]5y-4=y+12[/tex]

[tex]5y-y=4+12[/tex]

[tex]4y=16[/tex]

Divide both sides by 4.

[tex]y=4[/tex]

Putting y=4 in (ii), we get

[tex]3x-5=5(4)-4[/tex]

[tex]3x-5=20-4[/tex]

[tex]3x-5=16[/tex]

Adding 5 on both sides, we get

[tex]3x=16+5[/tex]

[tex]3x=21[/tex]

Divide both sides by 3.

[tex]x=7/tex]

Therefore, the value of x is 7 and the value of y is 4.

Step-by-step explanation:

1-a ,2-c,3_d

i thibk is you're answer

Answer:

Negative and positive

Step-by-step explanation:

Complete the statements about the key features of the graph of f(x) = x5 – 9x3.

As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.

The complete statement is:

As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity

The function is given as:

[tex]f(x) = x^5 - 9x^3[/tex]

Set x to 2

So, we have:

[tex]f(2) = 2^5 - 9(2)^3[/tex]

[tex]f(2) = -40[/tex]

Set x to 5

[tex]f(5) = 5^5 - 9(5)^3[/tex]

[tex]f(5) = 2000[/tex]

Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000

Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively

Read more about function behaviors at:

https://brainly.com/question/24114085

Answer:

-15/2

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Answer:

✔️The arithmetic sequence: 16, 11, 6, 1, -4. . .

✔️The Geometric Sequence: ⁵/9, ⁵/3, 5, 15, 45 . . .

✔️Neither is: ½, 1, 2, 3, 4 . . .

Step-by-step explanation:

In an arithmetic sequence, a constant number called common difference is added or subtracted from each term to get the next successive term in the sequence.

On the other hand, in a geometric sequence, a constant number called common ratio is used to multiply or divide each term to get the next successive term in the sequence.

✔️The arithmetic sequence is:

16, 11, 6, 1, -4. . .

This is because it has a common difference of -5. Thus, 5 is subtracted from each term to get the next successive term.

✔️The Geometric Sequence is:

⁵/9, ⁵/3, 5, 15, 45 . . .

The common ratio is 3. Each term is multiplied by 3 to get the next successive term in the sequence.

✔️Neither is:

½, 1, 2, 3, 4 . . .

This sequence lacks either a common difference or a common ratio.

Answer:

x=2

Step-by-step explanation:

25/625 is 1/25

1/25 = 1/5^x

1/5 =sqrt 1/25 and that is 2

so x=2.

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Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]

[tex]m_1=\dfrac{-4+8}{-10}[/tex]

[tex]m_1=\dfrac{4}{-10}[/tex]

[tex]m_1=-\dfrac{2}{5}[/tex]

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex](-\dfrac{2}{5})\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].

Perpendicular bisector passes through the midpoint of given endpoints.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]

[tex]Midpoint=\left(4,-6\right)[/tex]

So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]

[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]

[tex]y+6=\dfrac{5}{2}x-10[/tex]

[tex]y=\dfrac{5}{2}x-10-6[/tex]

[tex]y=\dfrac{5}{2}x-16[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].

Answer:

- 1

Step-by-step explanation:

y = mx + b ( "m" is slope and "b" is y-intercept )

The equation of a given line is

y = - 2x - 2

Coordinates of x-intercept are ( x, 0 ) ⇒ 0 = - 2x - 2 ⇒ x = - 1

The x-intercept of the line is ( - 1 )

Answer:

10x+4 or 2(5x+2)

Step-by-step explanation:

you just add

Answer:

Guide for how to get your answer and your answer

step 1

   Find roots (zeroes) of :       F(x) = x3-9x-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -7.

step 2

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,7

Lets test

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -7       1        -7.00        -287.00    

     1       1        1.00        -15.00    

     7       1        7.00        273.00

found no rational roots.

(end equation of part 2)  x3 - 9x - 7  = 0

step 4

Solve   x3-9x-7 = 0

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is   F(x) = x3 - 9x - 7

At   x=   -3.00   F(x)  is equal to  -7.00

At   x=   -2.00   F(x)  is equal to  3.00

Intuitively we feel, and justly so, that since  F(x)  is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl,  F(x) is zero,

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

Next Middle will get us close enough to zero:

    F( -0.844759464 ) is  -0.000000848  

    The desired approximation of the solution is:

      x ≓ -0.844759464

0.844759464 is your answer..

Step-by-step explanation:

Answer:

1/12^4 the for is small and raised

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Area = 1/2 a * p

Multiply both sides by 2

2*A = ap

Divide by p

2A / p = a

D

Answer: D

Step-by-step explanation:

[tex] \bf {(2x)}^{0} = 1[/tex]

The rule is that any number raised to the power of 0 equals to 1.

So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

But 0 to the power 0 is undefined!

0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.

8

Step-by-step explanation:

By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.

Answer:

there are 8 6+8=12+2 vertices, and 12 edges

Answer:

FV= $17,321.20

Step-by-step explanation:

Giving the following information:

Annual deposit (A)= $3,000

Number of periods (n)= 5 years

Interest rate (i)= 7.2% = 0.072

To calculate the future value (FV), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {3,000*[(1.072^5) - 1]} / 0.072

FV= $17,321.20

Answer:

Step-by-step explanation:

Alina=2x---eq(1)

Asim=5x----eq---(2)

So,we get

2x+5x=210

7x=210

x=30

Now,Putting '30' in eq 1 and eq 2

2*30=60

5*30=150

Therefore Alina got 60 Rs while Asim got 150 Rs

Answer:

32%

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I got it correct.

Answer:

4.8 miles

Step-by-step explanation:

First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.

Answer: Braulio is 15 years old, and Alejandro is 6 years old.

Step-by-step explanation:

Let's define:

B = Age of Braulio

A = Age of Alejandro.

"Three years from now, Braulio will be 3 times Alejandro's present age"

We can write this as:

B + 3 = 3*A

"At that time, Alejandro will then be half as old as Braulio"

A + 3 = (B + 3)/2

Then we have a system of equations:

B + 3 = 3*A

A + 3 = (B + 3)/2

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate A in the second equation:

A = (B + 3)/2 - 3

Now we can replace this in the other equation to get:

B + 3 = 3*A

B + 3 = 3*((B + 3)/2 - 3)

B + 3 = (3/2)*B + 9/2 - 9

Now let´s move all the terms with B to the left side, and the other terms to the right side.

B - (3/2)*B = 9/2 - 9 - 3

-(1/2)*B = 9/2 - 18/2 - 6/2 = -15/2

B = (-2)*(-15/2) = 15

Braulio is 15 years old.

And from the first equation:

B + 3 = 3*A

15 + 3 = 3*A

18 = 3*A

18/3 = A = 6

Alejandro is 6 years old.

Answer:

6/7

Step-by-step explanation:

Given the points :

(-5, 2) and (2, 8)

Slope can be obtained by using the relation :

(y2 - y1) / (x2 - x1)

From the points given :

x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8

(8 - 2) / (2 - (-5))

(8 - 2) / (2 + 5)

6 / 7

Hence, slope between the two points = 6/7

Answer:

1.88, good luck for you