f(x) = 3x + 6. Find the inverse of f(x).

Step-by-step explanation:

first term a = 4

common difference d = -1-4 = -5

60th term = a+ (60-1)d

= 4 +59×(-5)

= 4 -295

= -291 answer

Answer:

92 inches squared

Step-by-step explanation:

Divide the figure into 2 rectangles.

The area of the first rectangle is 4 x 11 = 44.

The base of the second rectangle can be found by adding 6 + 4 + 6 = 16.

We find 4 because the top part of the vertical rectangle is the same as the bottom part.

Then the area of the second rectangle is 16 * 3 = 48.

Adding these two areas, 44 + 48 = 92 inches squared.

6yd and 216in and both equal

Answer:

32

45

75

Step-by-step explanation:

tbh its pretty basic..

Answer:

9x9 = 81

The Steps ↓

9 to the power of 2 means 9 times itself 1 time. This goes for any other number in other situations. The term is often referred to as squared.

  9

x 9

81

Step-by-step explanation:

It takes 150/25=6 hrs to finish reading

So when you graph, the line will start at (0,150) and go down to (6,0)

Domain tells you how far the x values go

0 < T < 6

Range tells you how low/high y values go

0 < L < 150

Answer: 0<T<6 0<L<150

Step-by-step explanation: Hope this helps you!

Answer:

9.72 ft (nearest hundredth)

Step-by-step explanation:

First, calculate the horizontal distance [tex]b[/tex] by using the cosine trig ratio:

[tex]\cos(\theta)=\mathsf{\dfrac{adjacent\ side}{hypotenuse}}[/tex]

[tex]\implies \cos(18)=\dfrac{b}{10}[/tex]

[tex]\implies b=10 \cos(18)[/tex]

Given:

Use the cosine trig ratio to calculate the new hypotenuse:

[tex]\implies \cos(12)=\dfrac{10 \cos(18)}{h}[/tex]

[tex]\implies h=\dfrac{10 \cos(18)}{\cos(12)}[/tex]

⇒ h = 9.723036846...

⇒ h = 9.72 ft (nearest hundredth)

Answer:

  14.86 feet

Step-by-step explanation:

We assume the new ramp arrives at the same height as the old one. That height is found using the sine function:

  h = 10·sin(18°)

We want to find the ramp length x that will give the same height with an angle of 12°:

  h = x·sin(12°)

Substituting for h, we get ...

  10·sin(18°) = x·sin(12°)

  x = 10·sin(18°)/sin(12°) ≈ 14.863 . . . . feet

The new ramp is about 14.86 feet long.

_____

Additional comment

The sine relation is ...

  Sin = Opposite/Hypotenuse

In this use, we rearrange it to ...

  Opposite = Hypotenuse × Sin

Answer:

1/ c

4/b

5/a

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

we expand the first formula by 5.

5(2x+y) = 20x5

10x + 5y= 100

then we add the two formulas together.

10x+5y+6x-5y = 100+12

since the 5y can be cancelled out, it is much easier.

16x = 112

   x=7

now we can put x=2 into the first formula.

2x7+y =20

        y=6

Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb

Step-by-step explanation:

I did the test 2 times got it right 2 times

Have a good day ur welcome

Answer:

B

Step-by-step explanation:

Answer:

x = 8/3, y = 16/3

Step-by-step explanation:

ΔBFE ~ ΔADE, so

x/8 = 6/(12 + 6), x = 8/3

y = 8 - x = 8 - 8/3 = 16/3

Answer:

1.75 meters² or 175 centimeters²

Step-by-step explanation:

Step 1: Find Area of the Base.

Step 2: Find the Area of the Triangles.

Step 3: Add the areas together.

Thus, the surface area is 1.75 m^2 or 175 cm^2.

Answer: Hola

Step-by-step explanation:

Hola tu papa Nunca came back from the grocery store.

Answer:

Second

Step-by-step explanation:

Answer:

-3

-2

-0.8

-1/10

1/2

0.8

7

Step-by-step explanation:

Answer:

first change 1 gallon into quarts and that will be

4.8038

so 2 quarts = ? cross multiply ans the answer u will get is 9.6076

Answer:

5/8

Step-by-step explanation:

subtract 3/8 from 8/8 to get 5/8

Answer:

The answer is B: 2-  5/x + 9/2x-1

Step-by-step explanation:

I did edge

Answer:

Y=3

Step-by-step explanation:

Thin of it this way...if theres 1 box for every 4 book, how many boxes will be for 12 books. you would divide 12 by 4 which gives you 3

Answer:

43 meters

Step-by-step explanation:

Perimeter is 2l+2w

l equals length

w equals width

264 = 2*89 + 2w

264 = 178 + 2w

264 - 178 = 2w

2w = 86

w = 43

Answer:

  |x +17| = 15

Step-by-step explanation:

The values that go into your absolute value equation template can be found by solving the template equation, then matching results to the desired solution values.

  |x -b| = c

resolves to ...

  x -b = c . . . . for x -b > 0

  x = b+c

and

  -(x -b) = c . . . for x -b < 0

  x = b -c . . . . . solve for x

__

The value of c must be positive, so the value b+c will be the most positive solution:

  -2 = b +c . . . . . the most positive solution

  -32 = b -c . . . . the most negative solution

Adding these equations gives ...

  2b = -34   ⇒   b = -17

  c = -2 -b . . . . from the first equation

  c = -2 -(-17) = 15

Putting the found values b=-17, c=15 into the absolute value equation template gives ...

  |x +17| = 15

Answer:

1/2 mile.

Step-by-step explanation:

Going to school and back is two ways, so multiply 1/4 to get 2/4, or 1/2.

Answer: 8/8

Step-by-step explanation:

It's eight yellow slices out of a total of eight slices. So it's impossible to get anything other than yellow.

Step-by-step explanation:

Algebra is great fun - you get to solve puzzles!

A Puzzle

What is the missing number?

− 2 = 4

OK, the answer is 6, right? Because 6 − 2 = 4. Easy stuff.

Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write:

x − 2 = 4

It is really that simple. The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable.

And when we solve it we write:

x = 6

Answer:

7/100

Step-by-step explanation:

please mark me brainliest

Answer:

My answer is 32 remainder 4

The value of x and y are equal to -1 and 4 respectively.

Data;

To solve a system of linear equations, we can either use graph, simultaneous or elimination method. In which ever method we choose to use, we can always find the solution to this system of equations.

Kindly find the attached for a graphical representation of the solution.

Learn more on system of equations here;

https://brainly.com/question/14323743

The solution to the system of equation is (-1,4)

The system of equation is given as:

x + y = 3

2x - y = -6

Next, we plot the graph of the system of equation

From the attached graph (see attachment), we have the point of intersection to be:

(x,y) = (-1,4)

Hence, the solution to the system of equation is (-1,4)

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

  39.4 feet

Step-by-step explanation:

The tangent trig relation can be used to relate the height of the tree to the distance from the observation point. We can start with the tangent relation, then apply it to both observation points.

__

Let h represent the height of the tree. Then for some distance d to the tree, we have ...

  Tan = Opposite/Adjacent

  tan(30°) = h/d

  tan(20°) = h/(d+40)

__

Solving the first equation for d and substituting into the second equation gives ...

  d = h/tan(30°)

  tan(20°) = h/(h/tan(30°) +40) . . . . . substitute for d

  h/tan(30°) +40 = h/tan(20°) . . . . . . multiply by (h/tan(30°)+40)/tan(20°)

  h(1/tan(20°) -1/tan(30°) = 40 . . . . . subtract h/tan(30°) and factor

  h = 40tan(20°)tan(30°)/(tan(30°) -tan(20°)

  h ≈ 39.392 . . . feet

The height of the tree is about 39.4 feet.

_____

As you can see from the attachment, a graphing calculator can solve these equations easily.

Answer:

39.4 ft (nearest tenth)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let x = distance along the path with 30° angle of elevation

Let h = height of the tree

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(30)=\dfrac{h}{x}}[/tex]

Rearrange to make x the subject:

[tex]\implies \mathsf{x=\dfrac{h}{\tan(30)}}[/tex]

[tex]\implies \mathsf{x=\sqrt{3} \ h}[/tex]

Second equation

Distance along the path with 20° angle of elevation = x + 40

Let h = height of the tree

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{x+40}}[/tex]

Rearrange to make x the subject:

[tex]\implies \mathsf{x=\dfrac{h}{\tan(20)}-40}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\sqrt{3} \ h=\dfrac{h}{\tan(20)}-40}}[/tex]

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}-\sqrt{3} \ h=40}}[/tex]

[tex]\implies \mathsf{\dfrac{h-\sqrt{3} \ h\tan(20)}{\tan(20)}=40}}[/tex]

[tex]\implies \mathsf{h-\sqrt{3} \ h\tan(20)=40{\tan(20)}}[/tex]

[tex]\implies \mathsf{h(1-\sqrt{3} \tan(20))=40{\tan(20)}}[/tex]

[tex]\implies \mathsf{h=\dfrac{40{\tan(20)}}{1-\sqrt{3} \tan(20)}}[/tex]

[tex]\implies \mathsf{h=39.39231012...}[/tex]

Therefore, the height of the tree is 39.4 ft (nearest tenth)