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2 years ago

I NEEEDDD HELPPP

Mathematics

1 answer:

Kruka [31]2 years ago

6 0

The slope of a function is the average rate of change of the function.

The meaning of the slope is that: <em>Kayla's charges per child is #2</em>

The function is given as:

$\mathbf{f(x) = 2x + 4}$

A linear function is represented as:

$\mathbf{f(x) = mx + c}$

Where:

m represents the slope of the function.

By comparison,

$\mathbf{m = 2}$

From the question, we understand that:

The function models the average money charged to babysit children

So, the interpretation of the slope is that:

Kayla's charges per child is #2

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Which expression equals a number that is NOT a rational number?

rewona [7]

$\frac{3\pi.3^3}{7}$ is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

$\frac{3\pi . 3^3}{7\pi}$ :

Let's evaluate this expression

⇒ $\frac{3(\pi) ( 3^3)}{7(\pi)}$

⇒ $\frac{3^4}{7}$

Therefore , It is a rational number ! .

$\frac{-18}{5}$ :

Let's evaluate this expression

⇒ $\frac{-18}{5}$

Therefore , It is a rational number ! .

$\frac{5}{3-7-9}$ :

Let's evaluate this expression

⇒ $\frac{5}{3-16}$

⇒ $\frac{-5}{13}$

Therefore , It is a rational number ! .

$\frac{3\pi.3^3}{7}$ :

Let's evaluate this expression

⇒ $\frac{3\pi.3^3}{7}$

⇒ $\frac{\pi.3^4}{7}$

Therefore , It is not a rational number , as pi is included ! .

4 0

2 years ago

Read 2 more answers

48.5 is 7 percent of what number

lana [24]

The answer is 692.857143
Hope this helps! :)

7 0

2 years ago

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One number is three more than a second number. Three times the first is 13 less than 5 times the second.

irakobra [83]

14 and 11

let x be the second number then the first number = x + 3 ( 3 more than second)

Also 3(x + 3) = 5x - 13

3x + 9 = 5x - 13

subtract 3x from both sides

9 = 5x - 3x - 13

9 = 2x - 13

add 13 to both sides

22 = 2x

divide both sides by 2

11 = x → second number

first number = x + 3 = 11 + 3 = 14

6 0

2 years ago

Su has 5 times as many marbles as Bertha. When Su gives Bertha 10 marbles, they have the same amount. How many marbles did they

Dafna11 [192]

Answer:

Part A)

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B)

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

Step-by-step explanation:

Let

x------> number of marbles that Su has at the beginning

y------> number of marbles that Bertha has at the beginning

we know that

$x=5y$ ----> equation A

$x-10=y+10$ ----> equation B

substitute equation A in equation B

$(5y)-10=y+10$

$4y=20$

$y=5$

Find the value of x

$x=5(5)=25$

Part A) How many marbles did they EACH have at the begining?

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B) How many did they EACH have at the end?

$x-10=y+10$

$25-10=5+10$

$15=15$

therefore

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

5 0

3 years ago

The variable z varies jointly with x and y. If z = 18 when x = 2 and y = 6, find the constant of variation, k, and then find the

solniwko [45]

Answer:

The constant of variation k is 3/2.

The value of z is -30.

Step-by-step explanation:

As we know Function form is

Z=kxy-------------1

So for k

K = z/xy

So if z=18, x=2 y=6

k= 18/2 x6

k= 18/12

k=3/2

Now we have to find for z, now we know the value of x= -4 y =5 z =3/2

z= kxy

z= 3/2 (-4)(5)

z= -30

6 0

2 years ago