Function Notation
f(-4)=___

Answer:

x = 62.9° (3 sig. fig.)

Step-by-step explanation:

Simply by using the cos law,

cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)

x = 62.9° (3 sig. fig.)

The equation that represents the given situation is 12 + 6x = 30.

The number of additional hours is 3.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Amount paid at the park = $30

Now,

12 + 6x = 30

x is the number of hours.

Solve for x.

12 + 6x = 30

6x = 30 - 12

6x = 18

x = 3

Thus,

The equation is 12 + 6x = 30.

The number of hours is 3.

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Answer:

Step-by-step explanation:

Jarred drew the model below of his backyard. The perimeter of the backyard is 40 feet, and the backyard is 8 feet wide.

his backyard is in rectangle shape and breadth =8

perimeter = 40

but perimeter = 2(l+b)

so

2(l+8)=40

l+8=20

l=12 feet

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

145?

Step-by-step explanation:

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³

Answer:

5m-50

Step-by-step explanation:

let's take Mia's current age as M

ten years ago Mia would be

m-10

Tom bring five times Mia's age that should be

(m-10)5

5m-50

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

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Answer:

awwwww

Step-by-step explanation:

Cool!

Answer:

:O That's so cool

Step-by-step explanation:

I've seen only one for the entire time I've been alive, lol

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]h^{-1}[/tex] (x) = 2x - 6

Step-by-step explanation:

let y = h(x) and rearrange making x the subject

y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 to clear the fraction )

2y = x + 6 ( subtract 6 from both sides )

2y - 6 = x

Change y back into terms of x with x = [tex]h^{-1}[/tex] (x)

[tex]h^{-1}[/tex] (x) = 2x - 6

Answer:6+14+2=20+2=22

Step-by-step explanation:6+2+14=22

In commutative property, the order of the addends is changed and the answer is simplified.

Answer:

7.5

Step-by-step explanation:

the answer to your question is 7.5

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

Answer:

x=7/4

Step-by-step explanation:

cross multiply and divide both sides

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Answer:

Refer to the attached file below

Hope it helps...

Have a great day :)

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer:

40.00-30.98=x

Volume of the container is option C. 756 cubic feet.

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

Volume of a three dimensional shape is the space occupied by the shape.

Volume of a rectangular prism = Length × Width × Height

Given,

Length = 18 feet

Width = 7 feet

Height = 6 feet

Volume = 18 × 7 × 6 = 756 feet³

Hence 756 cubic feet is the volume of the container.

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Answer:

3 - that is if all of those say 7 because some have a line through and some dont.  

Step-by-step explanation:

Download photomath. You take a photo of the math problem and it gives the answer plus steps to solve.

Answer:

Pliers

Step-by-step explanation:

From the picture attached,

Number of pliers = 4

Number of hammers = 2

Number of wrenches = 2

Number of saws = 2

Total collection of tools = 4 + 2 + 2 + 2 = 10

Since, two fifth means,

[tex]\frac{2}{5}=\frac{2\times 2}{5\times 2}[/tex]

[tex]\frac{2}{5}=\frac{4}{10}[/tex]

That means tool with 4 counts out of total 10 tools will be the answer.

And the answer is pliers.

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

              A) Twice the input value plus three.

              B) The input value minus five.

              C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

A)

f(x) = 2x + 3

B)

f(x) = x - 5

C)

f(x) = 2x + 4

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.