Evaluate the function

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

Let the present age of son be x

Therefore,

Present age of the father will be

[tex]\bold{ = 3x\:\: years }[/tex]

9 years ago,

The age of the son was

[tex]\bold{ = ( x - 9)\: years}[/tex]

Age of the father was

[tex]\bold{ = 3(x - 9) \:years ...eq(1)}[/tex]

But,

From eq(1) and eq(2) :-

[tex]\sf{3(x - 9) = 4(x - 9)}[/tex]

[tex]\sf{3x - 27 = 4x - 36}[/tex]

[tex]\sf{3x - 4x = -36 + 27}[/tex]

[tex]\sf{-x = -9 }[/tex]

[tex]\bold{\pink{ x = 9 \: years }}[/tex]

Thus, The present age of the son is 9 years

Age of the father will be

[tex]\sf{ = 3 × 9 }[/tex]

[tex]\bold{\red{ = 27 \: years }}[/tex]

Hence, The present ages of son and father is 9 years and 27 years

Answer:

Y=2.25x+4.00 would be the answer!:)

Step-by-step explanation:

The slope is 2.25 and the starting point is 4.00

To find the slope subtract 8.50 and 15.25 then divide it by 3

Answer:

B.) y = 2.25x + 4.00

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

Step-by-step explanation: a car of mass 1000kg traveling at a speed of 108km/hour a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction Gradyn is waiting for your help. Add your answer and earn points.

Answer:

11 is B and 12 is A

Step-by-step explanation:

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]

The equation can be written as

[tex]\rm 3x - 10y = 450\\[/tex]

For y = 15, the value of x will be.

[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + [tex]\sqrt{2}[/tex]) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

[tex]\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16[/tex]

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

More about the regular octagon link is given below.

https://brainly.com/question/858868

Answer:

C, there are 9 pencils in each row.

Step-by-step explanation:

Answer:

x = 5 , y = 15

Step-by-step explanation:

Since the figures are congruent then corresponding sides and angles are congruent , that is

WG = DG ( substitute values )

3x - 5 = 10 ( add 5 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

∠ WGF = ∠ DGF , that is

15x + y = 90 ( substitute x = 5 )

15(5) + y = 90

75 + y = 90 ( subtract 75 from both sides )

y = 15

Answer:

the answer is option C..

Answer:

graph c

Step-by-step explanation:

if Jose rode his bike for 18 miles in one hour, the graph has to show it. Graph c is the only one that shows 18 miles in one hour, being the point (1,18)

Answer:

226.08 ft³

Step-by-step explanation:

[tex]\textsf{volume of a cone}=\frac{1}{3}\pi r^2h[/tex]
(where [tex]r[/tex] = radius of the base and [tex]h[/tex] = height)

[tex]\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}[/tex]

Given:

[tex]\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3[/tex]

1. Observe problem

Restriction: Decimal Form

Least common multiple of 15 and 20 is: 60

Time sixty on both sides

40=3x

x=40/3

Therefore, decimal representation would be 13.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...

Answer: 13.3 repeating

Step-by-step explanation:

First you cross multiple 10 times 20 to get 200=15x. Then you divide 200 by 15 to get 13.3 repeating

the answer to your question is a.

a^2 + b^2 = c^2

c is the hypotenuse of the right triangle.

answer: 6

Answer:

$21.25

Step-by-step explanation:

Step one: $100 and you subtract the $15 you spent on a shirt which leaves you with $85.

Step 2: finally you need to divide 4 into 85....Calculate...... You spend $21.25 on each member

Answer:

x = -3

Step-by-step explanation:

Start by distributing the 4 to the terms in the parentheses:

4(-4x)+4(-1)+x+3=44

-16x-4+x+3=44

Combine like terms

-15x-1=44

Add 1 to both sides

-15x-1+1=44+1

-15x=45

Divide both sides by -15

x = -3

Answer: x = -3

Step-by-step explanation: distribute, combine, divide, you get x = -3

Answer: 6 and 8

Step-by-step explanation:

(The top and bottom)

A trapezoid has two bases and two legs. As seen, the lengths that represent the bases of the trapezoid are the parallel sides 8 and 6. This is because they go on straight and never intersect each other, which makes them parallel. The length that represents the height of the trapezoid is 4, which is the straight line that connects both bases.

Hope this helps =)

Answer:

  (d)  (3, -2)

Step-by-step explanation:

It is easy enough to check the offered choices. All but the last fail in the first equation.

  (-6, -1): -1 ≠ -6 -1

  (7, -2): -2 ≠ 7 -1

  (-1, 6): 6 ≠ -1 -1

  (3, 2): 2 = 3 -1 . . . . . this is your solution point

Answer:

(x-2) (x+ 8)

that's the answer to the question

Let Hypotenuse be x

X² = 20² + 28²

x² = 400 + 784

[tex] \tt x= \sqrt{400 + 784 } [/tex]

[tex] \tt x= \sqrt{1,184} [/tex]

[tex] \tt x= 34.4[/tex]

Given :-

To Find :-

Solution :-

The given system of equation is ,

[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]

Firstly , taking equation (ii) ,

[tex] y = 4x +10[/tex]

On subtracting y on both sides, we have ;

[tex] 4x - y +10 = 0[/tex]

Multiplying both sides by 2 ,

[tex] 2(4x -y+10)=2(0)[/tex]

Simplify,

[tex] 8x - 2y = -20 \dots (iii)[/tex]

Adding equation (i) and (iii) ,

[tex] 3x + 2y + 8x - 2y = -20+9[/tex]

Add and subtract the like terms ,

[tex] 11x = -11 [/tex]

Divide both sides by 11 ,

[tex] x = -1 [/tex]

Now substitute this value in equation (i) ,

[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]

Hence the correct option is 4 (-1,6) .

I hope this helps . Let me know if you need any further clarification .

Option 4.

For clear understanding refer to the attachment.

Answer:

x= 6

y= 2

Step-by-step explanation:

conversion factor is 2, so you have to divide by 2 in order to get your answers :)

Answer:

x = 6

y = 2

Step-by-step explanation:

Just divide 6 a number and you have to get 3, in this case it's 2.

So then divide 4 and 12 by 2, and that will get you the answer.

Hope this helps!

Answer:

2x³ - 2x² - 1 + (6 / x² + x + 2)

Answer:

  AB ≈ 581.6 ft

Step-by-step explanation:

The triangle from point A to the base of the lighthouse to the light beam can be modeled as a right triangle with the side opposite the angle being given. That means the distance from A to the base of the lighthouse is found from the tangent relation:

  Tan = Opposite/Adjacent

  tan(7°) = (105 ft)/A

  A = (105 ft)/tan(7°)

Using similar reasoning, the distance to B is ...

  B = (105 ft)/tan(21°)

Then the distance from A to B is ...

  AB = (105 ft)/tan(7°) -(105 ft)/(tan(21°)) = (105 ft)(1/tan(7°) -1/tan(21°))

  AB ≈ 581.6 ft

_____

Additional comment

We know that 1/tan(7°) = cot(7°) = tan(83°). This means the relation can be written ...

  AB = (105 ft)(tan(83°) -tan(69°))

Answer:

x = 72

Step-by-step explanation:

angles x and 72° are corresponding angles and are congruent , then

x = 72

The value of x is 72 degree.

Option A is correct.

The basic qualities listed below make it simple to identify parallel lines.

We have the parallel line AB || CD.

As, we know the parallel line have following property

Now, from the figure using Corresponding angle

x = 72 degree

Thus, the required angle is 72 degree.

Learn more about Parallel line here:

https://brainly.com/question/16701300

#SPJ7

Answer:

dang i had a hard time on this wish i could help

Step-by-step explanation:

Answer:

The answer is 375

Step-by-step explanation:

First you would need to divide 300 and 16 then you would get 18.75 then you multiply that by 20 and then you get your final answer which is 375.

I think it should be 6000 more! If not im so sorry!! Have a nice day!!

Answer:

A closed circle on 12, going to the left.

Step-by-step explanation:

h − 9 ≤ 3

  + 9 + 9

h ≤ 12

Look for a closed circle on 12, going to the left.

Hope that helps!