Solve the nonlinear inequality. Expr
x³-9x>0
(-3,0) U (3,00)
Graph the solution set.

How would I graph this on a number line ?

Answer:

  (c)  $95,400

Step-by-step explanation:

You want the listing price of your house such that you can clear $92,500 after paying a 3% commission to the buyer's realtor.

The buyer's agent will receive 3% of the sale price (P), so you receive that amount less. You want your share to be $92,500.

  (1 -3%)P = 92,500

Dividing by the coefficient of P, we get ...

  P = 92,500/0.97 ≈ 95,361

We are asked to round this value to the nearest $100. That makes the listing price ...

  $95,400 . . . . listing price

__

Additional comment

You can estimate the listing price by adding 3% of 92500 to that value, and you can estimate the added amount as 3%×90,000 = 2700. That is, you know the listing price needs to be slightly higher than ...

  92500 +2700 = 95,200

Only one of the answer choices is above that value and rounded to the nearest $100. (You can eliminate the first two choices, because they are not properly rounded.)

Answer:

n = 4

Step-by-step explanation:

8 * n = 32

Solve for n

Divide each side by 8

8*n/8 = 32/8

n = 4

The answer is (-∞.∞).

Draw out a number line. Plot 0 and -4 on the number line.

Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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Answer:

1500000

Step-by-step explanation:

Answer:

first we find out how much is three dozens?

3 x 12 =36

now we multiply 26 and 36 to find out the number of cookies

26 x 36 = 936

936 cookies is your answer

Answer: 60 rides

Step-by-step explanation:

18/30% = (as fraction) 180/3

= 60

Answer:

0

Step-by-step explanation:

[tex]n(S \cup T)=n(S)+n(T)-n(S \cap T) \\ \\ 15=15-n(S \cap T) \\ \\ n(S \cap T)=0[/tex]

Answer:

It's the nitrogen concentration, since it's the one being decided.

Split up the interval [1, 3] into 4 intervals of equal length,

[tex]\Delta x = \dfrac{3 - 1}4 = \dfrac12[/tex]

The left endpoint of the [tex]i[/tex]-th interval is

[tex]\ell_i = 1 + \dfrac i2[/tex]

The area under the curve is then approximately

[tex]\displaystyle \int_1^3 f(x) \, dx \approx \sum_{i=1}^4 f(\ell_i)\Delta x \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac i2\right)^3 \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac{3i}2 + \frac{3i^2}4 + \frac{i^3}8\right) = \boxed{27}[/tex]

Answer:

answer is 251.5

Mark as branliest if helped a bit

The correct option is C, if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant.

We know that the domain of f(x) is only the set of positive real numbers. Now remember that the domain of a function is the set of the inputs of that function (the inputs are on the horizontal axis).

Then the graph of f(x) will only be on the positive side of the horizontal axis.  We know that the two quadrants that are on that region are the first quadrant and the fourth quadrant.

Then if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant, this means that the correct option is C.

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Answer:

120

Step-by-step explanation:

l = (w*3)+2

w = 6

area = ((6*3)+2) * 6

            ((18) + 2) * 6

               20        * 6

                     120

Answer:

18

Step-by-step explanation:

tbh I kinda forgot how to do this but ill try,

input 3 into the f(x)

4(3)+6=12+6=18

Answer:

16/99

Step-by-step explanation:

i think

Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -

y = ax + b

Given a simple equation and we have to solve the equation using transpose method.

We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -

4(x + 9) = 3(x + 7)

STEP - 1 - Identify the unknown variable.

In the expression given, the unknown variable is x.

STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.

In the expression given, we will simplify both sides -

4(x + 9) = 3(x + 7)

4x + 4 × 9 = 3x + 3 × 7

4x + 36 = 3x + 21

STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.

Apply Step 3 -

4x - 3x + 36 = 21

4x - 3x = 21 - 36

STEP - 4 - Solve for unknown variable.

We have -

4x - 3x = 21 - 36

x = - 15

Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.

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Answer:

1022 minutes

Step-by-step explanation:

Let x be the number of minutes the executive used the phone

There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute

So total bill A = 35 + 0.4(x-900)

We know the bill was $83.80

So we can rewrite the equation as

35 + 0.4(x-900) = 83.30

and solve for x

To make it easier for computational purposes

1)  Multiply both sides by 10

[tex]35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10[/tex]

2) Perform individual multiplication

[tex]350+4\left(x-900\right)=838[/tex]

3)  Subtract 350 from both sides

[tex]350+4\left(x-900\right)-350=838-350[/tex]

4)  Simplify

[tex]4\left(x-900\right)=488[/tex]

5) Divide both sides by 4

[tex]\frac{4\left(x-900\right)}{4}=\frac{488}{4}[/tex]

6) Simplify

[tex]x-900=122[/tex]

7) Add 900 to both sides to isolate x

[tex]x-900+900=122+900[/tex]

8) Simplify to obtain x

[tex]x=1022[/tex]

Answer: The executive used the phone for 1022 minutes that month

Using limits, the average cost when printing an increasing large number is of $115.

When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.

For this problem, the cost function is:

[tex]C(x) = \frac{450 + 115x}{x}[/tex]

The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:

[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]

Hence the average cost when printing an increasing large number is of $115.

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The area of the figure is 22.785 square yards

The figure is a triangle, and it has the following properties

Base = 9.3 yards

Height = 4.9 yards

The area of the figure is calculated as

Area  = 0.5 * Base * Height

So, we have

Area = 0.5 * 9.3 * 4.9

Evaluate

Area = 22.785

Hence, the area of the figure is 22.785 square yards

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Answer:

56 degrees

22 minutes

48 seconds

Answer:

189

Step-by-step explanation:

189 hshwhwjwowoqoqooqpqp

Answer:

3 nickels and 7 dimes.

Step-by-step explanation:

Let +n+ = number of nickels

Let +d+ = number of dimes

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

(1) +5n+%2B+10d+=+85+

(2) +d+=+n+%2B+4+

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

Substitute (2) into (1)

(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+

(1) +5n+%2B+10n+%2B+40+=+85+

(1) +15n+=+45+

(1) +n+=+3+

and

(2) +d+=+n+%2B+4+

(2) +d+=+3+%2B+4+

(2) +d+=+7+

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

There are 3 nickels and 7 dimes

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

check:

(1) +5n+%2B+10d+=+85+

(1) +5%2A3+%2B+10%2A7+=+85+

(1) +15+%2B+70+=+85+

(1) +85+%2B+85+

OK

Answer:

$4,833.40

Step-by-step explanation:

First find the area of the room.

A = lw

A = (13)(13)

A = 169[tex]ft^{2}[/tex]

It cost 28.60 per square foot.  Multiply these numbers together.

169(28.60) = 4833.40

The value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

The formula for determining the lateral area of a cylinder is expressed as;

Lateral area = 2 πrh

Where;

Note that radius is half the diameter;

radius, r = 5. 8/ 2 = 2. 9 cm

Substitute into the formula

Lateral area = 2 ( 3. 142 × 2. 9 × 7. 6)

Lateral area = 2 ( 69. 249)

Lateral area = 138. 49 cm^2

Thus, the value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

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false is the answer of that Q

The 17th term of the sequence is 289

The nth term is given as

Sn = n^2

The 17th term of the sequence implies that

n = 17

So, we have

S17 = 17^2

Evaluate

S17 = 289

Hence, the 17th term of the sequence is 289

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The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞

The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.

From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞

Y = 1 when x = 0

Therefore, the range of the function will be -∞ to +∞ That is,

-∞ ≤ y ≤ ∞

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Answer:

1,∞ is the answer

Step-by-step explanation:

Answer:

[tex] \sqrt[3 \\ ]8 + \sqrt{114} {?} [/tex]

The geometric transformation which will not  produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis

In this question, we have been given a triangle ABC and the transformed triangle A'B'C'

Also, in the graph the first triangle is at A(-3, 0), B(-2, 3), C(- 1, 1) and the Second triangle is at A prime (0, -3), B prime (3, -2), C prime (1, -1).

Consider the graph as shown below.

From the coordinates of vertex of triangle ABC and triangle A'B'C' we can observe that,

A(-3, 0) -> A'(0, -3)

B(-2, 3) -> B'(3, -2)

C(-1, 1) -> C'(1, -1)

For each vertex,

x coordinate of triangle ABC = y coordinate of triangle A'B'C'

and y coordinate of triangle ABC = x coordinate of triangle A'B'C'

This means, the geometric transformation of triangle ABC is reflection across the line y = x

But the reflection across the x-axis followed by a reflection across the y-axis.

Therefore, the geometric transformation which will not  produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis

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