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valentinak56 [21]
3 years ago
15

To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be presented by a

n equation of the form y = mx + b, where x = the time in months and y = the total cost in dollars. What is the value of b in this equation?
Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer:

y = 30x + 75

Step-by-step explanation:

every month you're paying 30 dollars for a fee.

the 75 dollars is simply the "down payment" so to say.

m is the constant growth or the continuous growth or the charge per month.

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The table represents a function.
zavuch27 [327]

Answer:

The correct option is 3. The rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

Slope of the function that is represented by the table, is

m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3

Therefore the rate of change of function is 3.

The given function is

​y=x-6

It is a slope intercept form of a line.

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function ​y=x-6​ is   less than the rate of change of the function represented in the table. Option 3 is correct.

7 0
3 years ago
Read 2 more answers
find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')
Minchanka [31]

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14

4 0
3 years ago
A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH
Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]

2. translation (0,2)

\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

#LearnWithBrainly

7 0
3 years ago
Read 2 more answers
Find the circumference of the circle with 1/4 Pi square centimetre square 2<br>​
otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = \pi r^{2}

\frac{1}{4} \pi ^{2} = \pi r^{2}

dividing π by both sides:

\frac{1}{4}\pi=r^{2}

using square root on both the sides:

\frac{1}{2}\sqrt{\pi } = r

So, the radius is \frac{1}{2}\sqrt{\pi }

Now, putting the formula of circumference:

circumference=2\pi r

                              =2\pi\frac{1}{2} \sqrt{\pi}

                              =\pi \sqrt{\pi}

putting the value of π =3.14

                              =3.14\times\sqrt{3.14}

                              =3.14\times1.77

                              =5.56

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0
3 years ago
How to calculate the percentage of the third year .i want extra detailed steps
nirvana33 [79]
Nobody wants to do these because, I don't know why.
8 0
3 years ago
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