Which of the following is a rational function?

A.
B.
C.
D.

The son is 30 years and the father is 65 years.

Let x represent the present age of the son and y represent the present age of the father.

Hence:

y = x + 35

-x + y = 35    (1)

In 5 years time:

y + 5 = 2(x + 5)

y + 5 = 2x + 10

-2x + y = 5  (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 65

The son is 30 years and the father is 65 years.

Find out more on equation at: https://brainly.com/question/2972832

Son   =  30 years

Father  =  65 years

Present Details:

Son: "s" years                    (lets consider son's present age to be s)

Father: "s + 35"                  (father is 35 years older than the son)

After 5 years:

Son: "s + 5"                [son will be 5 years older]

Father: 2(s + 5)     [twice the son's age]  and  (s + 35) + 5 = (s + 40) years

Solve father's age simultaneously:

⊕ Thus, the Son is 30 years old.

Father's age:

Answer:

I think its. u must check with calculator

Answer:

  k = -4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...

  f(k) = -15

Looking on the given graph, you find that k must be -4. That is, ...

  f(-4) = -15

  k = -4

_____

The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.

[tex]2(4w + 7) = 62[/tex]

Divide both sides by 2

[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]

[tex]4w + 7 = 31[/tex]

Subtract both sides 7

[tex]4w + 7 - 7 = 31 - 7[/tex]

[tex]4w = 24[/tex]

Divide both sides by 4

[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]

[tex]w = 6[/tex]

Answer:

w=6

Step-by-step explanation:

Step 1 : Simplifying

2(4w + 7) = 62

Step 2 : Recorder the terms :

2(7 + 4w) = 62

(7 * 2 + 4w * 2) = 62

(14 + 8w) = 62

Solving-

14 + 8w = 62

Solving for the variable 'w'

Move all terms containing w to the left side, all other terms to the right.

Add '- 14' to each side of the equation.

14 + - 14 + 8w = 62 + - 14

Combine like terms: 14 + - 14 = 0

0 + 8w = 62 + - 14

Combine like terms: 62 + - 14 = 48

8w = 48

Divide each side by '8'

W = 6

Simplifying

W = 6

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

Answer:

2,000 tiles

Step-by-step explanation:

area of the floor divided by the area of one tile

area of a rectangle is length*width

so it's 40*15= 600

area of tile is 0.6m*0.5m = 0.3

600÷0.3 = 2,000 tiles

Answer:

x = (180 - [71 + 9]) ÷ 2

Step-by-step explanation:

71 + 9 = 80

180 - 80 = 100°

100° ÷ 2 = 50°

Answer: the slope 4

Step-by-step explanation:

the slop is y^2 - y^1 / x^2 - x^1 = 0 -8 / -1 - - 3 = 8/2 = 4

Hope that helps :)

Answer:

-b+2>-10

Step-by-step explanation:

Just ask.

Hope this helps! :D

Answer:

mean = 0.5

Step-by-step explanation:

The mean of a set of data is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]

          = [tex]\frac{3.5}{7}[/tex]

          = 0.5

[tex]\huge \sf༆ Answer ༄[/tex]

As we know, Circumference of the circle can be expressed as :

[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]

where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.

Therefore, it's radius is 2 feet.

Now, let's calculate its area using the formula ~

[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]

plug the value of r (radius) as 2.

Area of circle is 12.96 ft²

Answer:

Send me a picture of the graph and I gottchu =)

Step-by-step explanation:

Answer:

I need a picture of the graph to answer that

Using the linear function, it is found that the correct option is given by:

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

12 + 2x = y

Step-by-step explanation:

y would be the total cost

Answer:

$12 + $2 × x

Step-by-step explanation:

Answer: 11.9

Step-by-step explanation:

The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.

Answer:

A. 11.9

Step-by-step explanation:

35° = opposite/adjacent

tan(35°) = x/17

tan(35) x 17 = 11.90352814

x = 11.90352814

x = 11.9

[tex]\text{Given that,}\\\\f(x) = 3x^2 -5x +4\\\\\\ \dfrac{f(a+h)-f(a)}{h}\\\\=\dfrac{3(a+h)^2 -5(a+h) +4 - (3a^2 -5a +4)}{h}\\\\=\dfrac{3(a^2 +2ah +h^2) -5a-5h+4-3a^2+5a-4}h\\\\=\dfrac{3a^2 +6ah +3h^2 -5a-5h-3a^2+5a}h\\\\=\dfrac{3h^2 +6ah -5h}h\\\\=\dfrac{h(3h+6a-5)}h\\\\=3h+6a-5[/tex]

Answer:

3/2pi or 0.47746

Step-by-step explanation:

The ormula for circumference is:

Circumference = 2*pi*radius

Then substitute radius = 3/4km

Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746

The slope of the line is -(1/2)

GD DAY AND NIGHT EMMANUEL MUDIAY

Answer:

22.54$

Step-by-step explanation:

There is a calculator for this

Answer:

EC$20.00 is equivalent to $7.40 US dollars

Step-by-step explanation:

Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?

Explanation:

In right angled ∆OCB, AC ⟂ CB,

AB² = AC²+CB²

[By Pythagoras theorem]

(10)² = AC²+(26)²

10*10 = AC²+(26*26)

100 = AC²+676

AC² = 676-100

AC² = 576

AC = √(576)

AC = 24 in.

Hence, the measure of right-agled in which AC is 24 in.

also read similar questions: riangle ABC and XYZ are similar. If AB = 6 in., BC = 13 in., AC = 14 in., and XY = 10in., what is XZ?.....

https://brainly.com/question/23099606?referrer

In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....

https://brainly.com/question/4503604?referrer

Answer:

Past tense

Step-by-step explanation:

The verb ("made") is in the past tense.

Hope this helps :)

Answer:

(17^1/7)^7 SIMPLIFIED is 498.26016735

Answer:

y>1/2x+2

Step-by-step explanation:

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726

Step-by-step explanation:

$103.23

$100

$45.34

+_____

=248.57

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

https://brainly.com/question/7066192

#SPJ1