The function f(x) is graphed below. what is f(1)?

Answer:

The perimeter would be  6x + 12

Step-by-step explanation:

The perimeter of a triangle is the sum of all its sides.

The measures of the sides of the given triangle are:-

3x + 2, x + 6 and 2x + 4

So, to find perimeter add these values together:-

3x + 2 + x + 6 + 2x + 4

Bring all the 'x' terms together first and then the other numbers so we can add them:-

3x + 2x + x + 2 +  6  + 4

6x + 12

AB = [tex]x[/tex] + 6

BC = 2 [tex]x[/tex] + 4

AC = 3 [tex]x[/tex] + 2

The perimeter of the triangle.

[tex]{\boxed{\mathcal{\red{The\: perimeter \:of\:the\:triangle\:is\: 6x\:+\:12.\:✅}}}}[/tex]

We know that,

[tex]\sf\pink{Perimeter\:of\:a\:triangle\:=\:Sum\: of\: all \:three\: sides}[/tex]

[tex] = AB + BC + AC \\ = x + 6 + 2x + 4 + 3x + 2 \\ = 6x + 12[/tex]

[tex]\sf\red{Therefore, \:the\: perimeter\:of \:the\:triangle\: is \:6x\:+\:12.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Given :

A cuboid shaped tank with sides 3.2 cm , 2.8 cm and 1.6 cm.

To Find :

The volume of the tank.

Solution :

We know, volume of a cuboid is given by product of its sides or :

[tex]V = l\times b \times h\\\\V = 3.2 \times 2.8 \times 1.6 \ cm^3\\\\V = 14.336 \ cm^3[/tex]

Therefore, the volume of the tank is 14.336 cm³ .

Answer:

f^(-1)(x) = 1/5x

Step-by-step explanation:

[tex] \large{f(x) = mx + b \longrightarrow f^{ - 1} (x) = \frac{x - b}{m} }[/tex]

Inverse Function is when we swap the x-term and y-term. Here is an explanation to the inverse of linear function above.

[tex] \large{f(x) = mx + b}[/tex]

Here we define f(x) = y. It is better to use y instead of f(x)

[tex] \large{y = mx + b}[/tex]

Swap x-term and y-term.

[tex] \large{x = my + b}[/tex]

Arrange/Simplify in the y-isolated equation.

[tex] \large{x - b = my} \\ \large {\frac{x - b}{ m} = y} \\ \large{ y = \frac{x - b}{m} }[/tex]

Since the function is in inverse form. It's recommended to use f^(-1) to point out that the function is an inverse of the original function.

[tex] \large \boxed{ {f}^{ - 1} (x) = \frac{x - b}{m} }[/tex]

Hence, y = (x-b)/m is an inverse of y = mx+b. A one-to-one function can have an inverse form. Back to the question!

We are given the linear function:

[tex] \large{f(x) = 5x}[/tex]

We will be using substitution method by substituting the original function in inverse form.

Since we know that the slope is 5 and doesn't have y-intercept which is b-value. Hence

[tex] \large{ {f}^{ - 1} (x) = \frac{x - 0}{5} } \\ \large{ {f}^{ - 1} (x) = \frac{x }{5} } \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]

Or we swap x-term and y-term.

[tex] \large{f(x) = 5x} \\ \large{y = 5x} \\ \large{x = 5y} \\ \large{ \frac{x}{5} = y} \\ \large{y = \frac{x}{5} = \frac{1}{5} x} \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]

Answer:

y = x-4

Step-by-step explanation:

y = x +4

This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept

Parallel lines have the same slope

The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5

y = mx+b

y = 1x-4

y = x-4

Answer:

2.44560420

Step-by-step explanation:

Answer:

[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]

Answer:

8

Step-by-step explanation:

y=kx

-12=-4k

k=3

24=3x

x=8

y=kx

-12=-4

k=3

24=3x

X=8

Answer:

The first is A and the second Is A

Answer:

24km²

Step-by-step explanation:

12-4 is 8 and if you visualize the triangle being put on top of the other triangle it makes a complete rectangle in which you multiple 8 time 3 to get 24 km²

Answer:

24 km²

Step-by-step explanation:

12 - 4 = 8

8 ÷ 2 = 4

4 · 3 = 12

12 ÷ 2 = 6

4 · 3 = 12

6 km² + 12 km² + 6 km²

24 km²

Answer:

x = 77.5

Step-by-step explanation:

1. Use cross-multiplication to find x.

[tex]\frac{13}{21} =\frac{48}{x}[/tex]

[tex]13x =1008[/tex]

2. Divide and round.

x ≈ 77.5

Answer:

10/30 is the fraction of the diagram shade

Answer:

13+8=21 in 8 years

13+y=blank years for now

hope this helps

have a good day  :)

Step-by-step explanation:

Answer:

[tex]a _{n} = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} = \frac{80. {2}^{n} }{ {2}^{ 1} } \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3} \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )[/tex]

Answer:

x = 18

Step-by-step explanation:

Both angles together make 180, they are essentially supplementary angles thou not on the same line.

Set your formula up as

81 + 5x + 9 = 180

5x = 180 - 81 - 9

5x = 90

x = 90/5

x = 18

Answer:

3/36

Step-by-step explanation:

Answer:

266.386

Step-by-step explanation:

im not shore if its right, i used a surface area calculator

Answer:

56ft

Step-by-step explanation:

Surface area is adding up all the sides multiplied by 2, so:

8 x 2 = 16ft

8 x 2 = 16ft

12 x 2 = 24ft

24ft + 16ft + 16ft = 56ft

Answer:

Precio original= $97.5

Step-by-step explanation:

Dada la siguiente información:

Precio de venta (con descuento)= $39

Porcentage de descuento= 60%

Para calcular el precio orinigal del videojuego, debemos usar la siguiente formula:

Precio original= precio de descuento / (1 - porcentage de descuento)

Precio original= 39 / (1 - 0.6)

Precio original= $97.5

Answer: I and III

Step-by-step explanation:

The origin is at (0,0).

When we look at the graph, we can see that the only visible x and y intercepts are at the origin, (0,0) (an x or y intercept is where the graph intersects the x or y axis). We also know that because the graph is going outwards, it will not have another x or y intercept. So, I is correct.

II would be incorrect because the maximum point would be WAY further up. The maximum point is the highest point the graph will reach.

III is correct because the origin is the lowest point, which means that the origin is the minimum point.

The second option should be chosen as it depicts the amount with the lowest interest.

For option 1, the annual interest will be:

= $1300 × 16.5% = $214.50

The monthly finance charge will be:

= $1300 × (0.165/12)

= $17.88

The minimum monthly payment for the first month will be:

= $100 + $17.88 = $117.88

Hence, the total amount paid will be:

= ($117.88 × 12) + $214.50

= $1629.06

For option 2, the simple interest will be:

= (1300 × 12.5%)

= $162.50

The amount that will be paid monthly will be:

= $1000/12

= $83.33.

In this case, the total amount paid will be:

= $162.50 + $1300

= $1462.50

Therefore, the second option is better as it's cheaper.

Learn more about interest on:

https://brainly.com/question/2294792

Answer:

That's a right angled Triangle

When viewed upside down

(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)

tanA= Opp/Adj

tanA= 30/40

tanA= 3/4

OPTION D SEEMS LEGIT!!!

Answer:

24.

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 24.

Answer:

When you multiply a number by a fraction, the number always decreases. When you multiply a number by 1/2, it's always half of the original number

Step-by-step explanation:

For example, take 4 x 1/2. It can be written as four halves. What do we get when we add four halves together?

1/2 + 1/2 + 1/2 + 1/2 = 2!

2 is less than 4. It is also half of the number four

Answer:

65 cm

Step-by-step explanation:

16^2 x 63^2 = 65^2

Answer:

D

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The boots are the value of 10, since 3 equal 30. The man is the value of 5 since there are two men (10) and one boot (also 10) which made 20. The ribbon is the value of 4 since there is one man (5) and 2 ribbons (8 ) which made 13. add 10, 5 and 4 and you get 19.

Answer:

16

Step-by-step explanation:

From the first equation, I can infer that one pair of boots equals 10 because 10+10+10=30. Also, I can infer that just one boot equals 5 because there are 6 boots in total and 5+5+5+5+5+5=30

From the second equation, I can infer that one boy equals 5 because 2 boys which equal 10 plus one pair of boots which equals 10 is 20.

From the third equation, I can infer that one pair of ribbons is 4 because the boy equals 5 and 13-5=8. There are two pairs of ribbons so 8/2=4. I can also infer that just one ribbon is 2 because 8 divided by 4 individual ribbons is 2.

So, for the last equation, it would be 5+9+2 which the answer would equal 16. The one boot that would equal 5 plus the boy and 2 individual ribbons he's holding in his hands would equal 9 plus one ribbons which would equal 2 would all equal 16.

Hope this is helpful.

Answer:

Ella could make:

2, 3, 4, 6, or 12 fruit baskets.

Step-by-step explanation:

We know that Ella has 48 apples and 60 oranges.

She wants to make N fruit baskets, such that each one of these fruit baskets has the same number of each fruit.

So we can define the variables:

a = number of apples in each one of these baskets

o = number of oranges in each one of these baskets

Then, if we have N baskets, we must have that:

N*a = 48

N*o = 60

a = 48/N

o = 60/N

And the values of a and o must be integers, then N must be a common factor of 48 and 60.

Remember that every number can be written as a product of prime factors, then let's rewrite 48 and 60 in that way:

48 = 2*24 = 2*2*12 = 2*2*2*2*3

60 = 2*30 = 2*3*10 = 2*2*3*5

Then, the common factors between 48 and 60 are the ones we can make with the prime numbers (that appear in both constructions) these are:

2

3

2*2 = 4

2*3 = 6

2*2*3 = 12

These are all the possible numbers of fruit baskets.

Answer:

There was a mistake in line D

===========================================================

Explanation:

Note in the previous line C that Noah multiplied both sides by 5. This is to clear out the fractions, since each have a denominator of 5.

In line D, Noah only multiplied those outer '5's by the first term in each parenthesis group. He didn't use the distributive property correctly.

The distributive property is a*(b+c) = a*b+a*c.

The 'a' is multiplied to everything inside, which are the terms b and c.

-------------------------------

Here are what the steps should look like from line D and onward. Take note of the 30 and 100. This is from 5*6 = 30 and 5*20 = 100.

We end up with the same thing on both sides. So this confirms that x = 14/5 is the solution to the original equation.

We'll be using the Pythagoras property to solve this question.

According to the Pythagoras property,

H denotes hypotenuse

B denotes base

P denotes perpendicular

Here,

→ (x)² = (35 cm)² + (12 cm)²

→ x² = 1225 cm² + 144 cm²

→ x² = 1369 cm²

→ x = √(1369 cm²)

→ x = 37 cm

Therefore, value of x is 37 cm.

Answer:

1800

Step-by-step explanation:

Just find the area of all the triangles and add

Answer:

18 metres squared

Step-by-step explanation:

it looks like you want to find the area of the kite as a whole, and lucky for you, the kite is conveniently cut into right triangles.

to find the area of a right triangle, you use the equation

A = (b × h)/2

where A is the area, b is the base, and h is the height.

now we plug in the numbers for each individual area and solve for the total area.

let's start with the 1st triangle, where it's base is 30cm and the height is 25 cm.

A = (30 × 25)/2

A = 375 cm squared

now the next one whose base is 30 and it's height is also 25 (We just did this last time so the area is the same)

A = 375 cm squared

now we'll do the next one whose base is 30 and height is 35.

A = (30 × 35)/2

A = 525 cm squared

and the last one is the same as the one we just did so I'll just copy the other answer.

A = 525 cm squared

alright now we'll add up all of the areas we just found to get the total area of the kite.

Total A = 375 + 375 + 525 + 525

Total A = 1800 cm squared

now we will divide our total by 100 because it takes 100 centimetres to get 1 metre and what we have right now is centimetres.

1800/100 = 18 metres squared.