For the following exercise, find the domain and range of the function below using interval notation.

1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10


Domain:
Incorrect no answer given
Range:
Incorrect

The area of the triangle based on the information given will be 4 units square

It should be noted that the area of a triangle is calculated by using the formula:

= 1/2 × base × height

Therefore, the area of the triangle will be:

= 1/2 × base × height

= 1/2 × 2 × 4

= 4 units²

In conclusion, the area of the triangle given will be 4 units square.

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Answer:  

Surface Area: 99.852

Volume: 71.592

Let the price of an adult ticket is x and a child ticket is y .

from the question ,

[tex]6x + 2y = 124 \: \: ...(i) \\ \\ 3x + 5y = 100 \: \: ...(ii)[/tex]

Multiply 2 in eq (ii)

[tex]6x + 10y = 200 \: \: ...(iii)[/tex]

On adding eq (iii) and (i)

[tex]6x + 10y = 200 \\ \\ 6x + 2y = 124[/tex]

we get ,

[tex]8y = 76 \\ \\ y = \frac{76}{8} \\ \\ y = 9.5[/tex]

putting y in eq (i)

[tex]6x + 2y = 124 \\ \\ 6x + 2 \times 9.5 = 124 \\ \\ 6x + 19 = 124 \\ \\ 6x = 124 - 19 \\ \\ 6x = 105 \\ \\ x = \frac{105}{6} \\ \\ x = 17.5[/tex]

The value of x = 17.5 and y = 9.5

Answer:

3(x -25)

Step-by-step explanation:

common factor is 3,

75 / 3 = 25

3x / 3 = x

Answer:

3(x-25)

Step-by-step explanation:

The common factor is three

divide both terms by three

3x/3 = x

-75/3 = -25

put them back together with the three outside of the parentheses

3(x-25)

Answer:

  (D)  sIn(30°) = 5/x

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between sides and trig functions for a right triangle. Here, the hypotenuse and the side opposite the angle are marked. The relevant relationship is ...

  Sin = Opposite/Hypotenuse

Filling in figure values, we have ...

  sIn(30°) = 5/x

Answer:

62 Inches

Step-by-step explanation:

It can be seen from the figure.

[tex]{ab}^{2} = {ac}^{2} + {bc}^{2} [/tex]

Pythagoras

AB= 13

So the perimeter is

[tex](13 + 18) \times 2 = 62[/tex]

Answer:

<B = 52°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 7)° = 112°

7y + 7 = 112°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<B = 3y + 7

<B = 3 * 15  + 7

<B = 45 + 7

<B = 52°

If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Function g can be thought of as a translated (shifted) version of f(x) = x².

Then the equation of the function g(x) will be

g(x) = (x - 2)² + 6

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

Explanation:

The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.

Subtract off 360 from this until we get to that target

Or a shortcut could be

The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.

Now use the unit circle (see below) to find that

Dividing those two items and simplifying gets us

tan(315) = sin(315)/cos(315) = -1

Then we go from tan(315) = -1 to tan(1755)  = -1

Answer:

25.13 ft

Step-by-step explanation:

Okay, simple. So first and foremost, set up the equation for the circumference of a circle

Circumference: [tex]2\pi (r)[/tex]

The diameter of the circle is 8 which means the radius is 4

So plug it in

[tex]2\pi (4)[/tex]

That will give us 25.13 ft

I really hope this helps!

Answer:

90 degree angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(w) = [tex]w^{2}[/tex] + 6w

f(w) = f(-2) = [tex](-2)^{2}[/tex] + 6*(-2) = 4 - 12 = -8

f(w) = f(-1) = [tex](-1)^{2}[/tex] + 6*(-1) = 1 - 6 = -5

f(w) = f(0) = [tex]0^{2}[/tex] + 6*0 = 0 + 0 = 0

f(w) = f(1) = [tex]1^{2}[/tex] + 6*1 = 1 + 6 = 7

Answer:

I believe it is B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

in the image Attached

......

Answer:

3

Step-by-step explanation:

Prime factorize both numbers :

The GCF is the highest common term that both terms share.

Hence,

Answer:

(x - 1) x - X^2

Hope this helps :)

Answer:

18.2

Step-by-step explanation:

A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)

18.159

The nearest tenth of 18.159

First value right to the decimal place is tenths place. If the value given in hundredths place is 5 or more round up, if not keep it as it is.

So here the value in hundredths place is 5, so we'll have to add 1 to the tenths place.

18.159

= 18.2 ( nearest tenth )

The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.

Then the factor or the quadratic equation will be

(x - 2) and (x - 3)

Then the equation will be

     3(x - 2)(x - 3) = 0

3(x² -2x -3x + 6) = 0

    3(x² - 5x + 6) = 0

   3x² - 15x + 18 = 0

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The knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.

It should be noted that probability simply means the likelihood of the occurence of a particular event.

In this case, the knowledge of fair decision making and probability concepts illustrates that the Power Pill should be produced and distributed.

It's important to adequately carry out a research on the pill and ensure that it's safe.

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[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n[/tex]

Answer:

Choice B: x = 2, y = 1.

Step-by-step explanation:

Answer:

$27,039

Step-by-step explanation:

Calculating the amount of interest :

Given values :

Solving :

Answer:

A=(3,6)

B =(9,2)

The distance between AB=√(9-3)^2+(2-6)^2

=3√13

Answer:

B. Rider used the wrong formula for the total volume.

Step-by-step explanation:

I did the quiz

Answer: B

Step-by-step explanation: I did the quiz, sis, trust me.

Answer:

12

Step-by-step eplanation:

Answer:

What is the question?

Step-by-step explanation:

prime: 1, 2, 3, 5

composite: 4, 6

Beto has 2/6 = 1/3 chance of winning

Amanda has 4/6 = 2/3 chance of winning

Answer:

Carbon dioxide

Step-by-step explanation:

I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.