PLEASE HELP I WILL GIVE BRAINLIEST
What is the range of the function f(x) = |x| – 3?

{f(x) ∈ ℝ | f(x) ≥ –3}
{f(x) ∈ ℝ | f(x) < –3}
{f(x) ∈ ℝ | f(x) ≤ –3}
{f(x) ∈ ℝ | f(x) > –3}

The correct steps are given below:-

a) Subtract 2 and two-thirds from both sides of the equation

b) 8 minus 2 and two-thirds = 5 and one-third

c) Substitute the value for r to check the solution.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved by using the following steps:-

[tex]2 \dfrac{2}{3}[/tex]  + r   = 8

Subtract [tex]2 \dfrac{2}{3}[/tex]  from each side

[tex]2 \dfrac{2}{3}[/tex]    + r  - [tex]2 \dfrac{2}{3}[/tex]     = 8 - [tex]2 \dfrac{2}{3}[/tex]  

r = 5 1/3

Check the solution,

[tex]2 \dfrac{2}{3}[/tex]   + [tex]5 \dfrac{1}{3}[/tex] =8

8 = 8

The complete question is given below:-

Which steps would be used to solve the equation? Check all that apply. 2 and two-thirds + r = 8 Subtract 2 and two-thirds from both sides of the equation. Add 2 and two-thirds to both sides of the equation. 8 minus 2 and two-thirds = 5 and one-third 8 + 2 and two-thirds = 10 and two-thirds Substitute the value for r to check the solution.

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Answer:

A,C,E >:3.

your welcome!

Answer:

muji chus mero lado madeaghw you mother machinery

Answer:

After finding all the amount add them and your amount shared will be dollar 136

The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]

The function is given as:

[tex]h(x)= -7x^6+3x^4-5x^2[/tex]

Next, we plot the graph of the function (see attachment)

From the attached graph, we can see that:

The function approaches negative infinity, irrespective of the direction of the x value

Hence, the end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]

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The percentage that the infuser will have to be filled to use the same amount of tea will be 90.23%.

The infuser for Lizeete is 7 cm high, 3 cm long and 1.5 cm wide. The volume will be:

= 7 × 3 × 1.5

= 31.5cm³

The tea infuser from the example, was the same except 7.9 cm high. Therefore, the volume will be:

= 7.9 × 3 × 1.5

= 35.5

Since it was filed to 80%, this will be:

= 80% × 35.5

= 31.5cm³

Therefore, the dimensions will work and the percentage to use the same amount of tea will be:

= 28.44/31.5 × 100

= 90.23%

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Take a look at the graph of [tex]f(x)=|x|[/tex], also known as the absolute value of [tex]x[/tex].

As shown by the graph attached, it is V-shaped, opens up, and is symmetric with respect to the vertical/y-axis.

The probability that the sum of both rolls is at least 9 is 2/36.

Probability is the chance that a given event will occur.  the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Given:

Total sample spaces: 36.

Number on one dice: 6

For sum of both rolls to be 9 , the only possible way is (6,3)(3,6)

Using probability formula,

Thus The probability that the sum of both rolls is at least 9 is 2/36.

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Home is 0.6 miles away from the store

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time

Given:-

Total time taken by girl to complete the trip = 15 minutes = [tex]\frac{1}{4}[/tex] hours

Speed while riding going = 6 miles per hour

Speed while coming back = 4 miles per hour

Total time taken by girl  =

Time taken while going +   Time taken while coming back      - (1)

  Let x be distance from home to store

       [tex]\frac{x}{6}[/tex] =  Time taken while going

[tex]\frac{x}{4}[/tex] = Time taken while coming back

    Substituting in (1) we get

      [tex]\frac{1}{4} = \frac{x}{6} + \frac{x}{4}[/tex]

      [tex]\frac{1}{4} = \frac{2x + 3x}{12}[/tex]

       [tex]\frac{1}{4} = \frac{5x}{12}[/tex]

      [tex]x= \frac{12}{20}[/tex]

    x = 0.6 miles

Thus home is 0.6 miles away from the store

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Answer:

A=7 B=9 C=4

Step-by-step explanation:

[tex]a\frac{b}{c} =\sqrt[c]{a^b}[/tex]

Answer:

x

Step-by-step explanation:

2^3

Answer:

if i subtract 3/8 with 2/5 i get 1/40

Step-by-step explanation:

i dont know if this is correct but it seems so

Step-by-step explanation:

—Let the unknown number is x, so we can write the equation like below.

[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]

[tex] \: [/tex]

—Find x.

[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]

[tex]x = \frac{3}{8} \div \frac{2}{5} [/tex]

[tex]x = \frac{3}{8} \times \frac{5}{2} [/tex]

[tex]x = \frac{15}{16} [/tex]

[tex] \: [/tex]

—Let's prove that it's true.

[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]

[tex] \frac{2}{5} \times \frac{15}{16} = \frac{3}{8} [/tex]

[tex] \frac{30}{80} = \frac{3}{8} [/tex]

[tex] \frac{30 \div 10}{80 \div 10} = \frac{3}{8} [/tex]

[tex] \frac{3}{8} = \frac{3}{8} \: \: \text{proved}[/tex]

[tex] \: [/tex]

So, the other number or the value of x is [tex]\frac{15}{16}[/tex]

Answer: [tex]144\pi[/tex]

Step-by-step explanation:

The area of the base is [tex]36\pi[/tex].

If we consider the right triangle, by the Pythagorean theorem, the unknown leg, which has a length of 4, is the height.

So, the volume is [tex]144\pi[/tex].

The probability that all of the next ten customers who want this racket can get the version they want from current stock is 0.821

Given: currently has seven rackets of each version.

Then the probability that the next ten customers get the racket they want is P(3≤X≤7)

Note that If less than 3 customers want the oversize, then more than 7 want the midsize and someone's going to miss out.

X ~ Binomial (n = 10, p = 0.6)

P(3≤X≤7)  = P(X≤7) - P(X≤2)

From Binomial Table:

               = 0.8333 - 0.012

               = 0.821

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The parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have given a graph of a parabola.

From the graph:

The parabola opens down.

The sign of the second difference is positive.

The coordinates of the vertex is at (1, 3)

The equation of the axis of symmetry is x = 1

The optimal value of the parabola is at y = 3

The optimal value is considered a max value.

The x-intercepts is at (-1, 0) and (3, 0)

The y-intercept is at (0, 5/2)

Thus, the parabola opens down, the sign of the second difference is positive and the equation of the axis of symmetry is x = 1

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Six less than the quotient of two and a number "W"

Let's take this step-by-step. First, change the written-out numbers to numerals:

6 less than the quotient of 2 and a number "W"

Next, combine the smallest part. In this case, it would be:

the quotient of 2 and a number "W"

Here, you are finding the quotient of a specific part: 2 and W. When we have specific sections like this in math, we put parentheses around them, like this:

6 less than the quotient of (2 and a number "W")

Now we need to remember what a "quotient" is. This means that there is division between the two numbers mentioned - in this case, 2 and the number W. But which is being divided into which? The number 2 comes first, so we think of 2 as being the first number used. Therefore, we are looking at:

6 less than (2 divided by W)

Division problems are exactly the same as fractions. For example, 3 divided by 1 is the same as 3 ÷ 1, which is also the same as 3/1 (which equals 3). In our case, 2 divided by W is the same as 2/W (your teacher might want this written as 2 ÷ W, but they mean the same thing). Now, we can write the equation as:

6 less than (2/W)

Which can also be written as:

6 less than 2 ÷ W

To finish this up, let's take a step back for a moment Imagine you have 10 jelly beans, and you eat 7 of them. You now have 7 less than 10, or 3 jelly beans. This can also be written as 10-7 = 3.

In our example, we have 6 less than (2/W). If we use the jelly bean equation we found as a starting point, we can change the 7 to 6 and the 10 to (2/W). Then, we get this:

(2/W) - 6

Which can also be written as:

2 ÷ W - 6

And that's your answer! Both of those mean the same thing so they're both correct. Your teacher might prefer you write it one way or the other, though. If this is the case, make sure to choose the solution that best fits your teacher's request.

Answer:

[32, ∞]

Step-by-step explanation:

c - 32 ≥ 0 can be rewritten as c ≥ 32 (adding 32 on both sides)
So for any value of between 32 and infinity both inclusive is a solution

Hello and Good Morning/Afternoon

Let's take this problem step by step:

To find the rate of change is essentially like finding a line's slope:

 ⇒ the x-values are the number of sodas

 ⇒ the y-values are the total costs

              ⇒ choose two sets of coordinates and find the slope

Let's put that into action

        ⇒ (24, 18)

        ⇒ (28, 21)

        [tex]Rate_.of_.change = \frac{21-18}{28-24} =\frac{3}{4}[/tex]

Since the rate of change is total cost over number of sodas

 ⇒ unit is 'total cost/number of sodas'

Answer: 3/4 total cost/number of sodas

Hope that helps!

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The probability that a simple random sample of 45 unemployed individuals will provide is 0.7372

Here, μ = 17.5, σ = 0.8944, x1 = 16.5 and x2 = 18.5.

We need to compute P(16.5<= X <= 18.5).

The corresponding z-value is calculated using Central Limit Theorem.

z = (x - μ)/σ

z1 ⇒ (16.5 - 17.5)/0.8944 = -1.12

z2 ⇒ (18.5 - 17.5)/0.8944 = 1.12

Therefore, we get

P(16.5 <= X <= 18.5) = P((18.5 - 17.5)/0.8944) <= z <= (18.5 - 17.5)/0.8944)

⇒ P(-1.12 <= z <= 1.12) = P(z <= 1.12) - P(z <= -1.12)

⇒ 0.8686 - 0.1314 = 0.7372

The principal limit theorem states that if you have a population with imply μ and trendy deviation σ and take sufficiently huge random samples from the populace with alternative, then the distribution of the pattern method may be about usually distributed.

The relevant limit theorem (CLT) states that the distribution of pattern manner approximates a normal distribution as the pattern size gets larger, regardless of the population's distribution. sample sizes identical to or extra than 30 are often considered enough for the CLT to preserve.

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Answer:

0.1

Step-by-step explanation:

break 1 into 10 parts, and take one part: hence 0.1

Answer:

0.1

Step-by-step explanation:

Answer:

Diameters  

Step-by-step explanation:

In spherical geometry, lines are called diameters.

Answer:

Diameter

Step-by-step explanation:

In spherical geometry, lines are called diameter .

Also this makes sense the most .

The question is incomplete. Below you will find the missing part of the question.

How many rabbits were there after x years? Write a function to represent this scenario.

[tex]8(2)^{x}[/tex] rabbits were there after x years.

The function form is [tex]f(x)=8(2)^{x}[/tex]

The number of rabbits released each year is 8.

During 0 year, there will be 8 rabbits;

During year 1, the number of rabbits will be 8+8 = 16, i.e. 8×2¹ = 16

Similarly, during the year 2, the number of rabbits will be  16+16 i.e. 8×2² = 32

So, according to the pattern we can say that the function would be  

[tex]f(x)=8(2)^{x}[/tex]

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Answer:

They get 15×9=135

135÷15=9 is your answer

The limit as x approaches three from the right of f(x)  is 3

The value a function approaches when the variable approaches its limit.

A graph is given which shows a piece  wise function ,

As when the limit approaches from the right the function can be seen approaching 3 , it is not 3 at 3 but approaching to 3

The right hand lim x--> 3 f(x)  approaches  3 .

Therefore , limit as x approaches three from the right of f(x)  is 3

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The largest possible volume of the given box is; 96.28 ft³

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

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The correct matching of the ordered pairs and the line they are on are:

The slope of the first pair is:

= (3 - (-3)) / (-5 - (-5))

= No slope as slope is 0

The slope of the second pair is:

= (-7 - (-1)) / (-1 - (-7))

= -1

The slope for the third pair is:

= (-2 - (-2)) / (6 - (-6))

= 0 or No slope

Rest of the question is:

slope = -1

No slope

No slope

slope = 2

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Answer: vertical line- (-5,-3) and (-5,3)

neither- (-7,1) and (-1,-7)

horizontal line- (-6,-2) and (6,-2)

hopefully this helps

Step-by-step explanation:

The value of x in the equation [tex]log_{2x + 6}8=3[/tex] gives that x = -2.

An equation is an expression that shows the relationship between two or more variables and numbers.

[tex]log_{2x + 6}8=3\\\\applying\ the\ logarithm\ rule:\\\\(2x+6)^3=8\\\\8x^3+72x^2+216+208=0\\\\x=-2[/tex]

The value of x in the equation [tex]log_{2x + 6}8=3[/tex] gives that x = -2.

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The simplified form of the given expression is -18. The correct option is the third option-  -18

From the question, we are to simplify

|3-10| - (12 ÷ 4 + 2)²

Simplifying

|3-10| - (12 ÷ 4 + 2)²

|-7| - (3 + 2)²

7 - (5)²

7 - 25

= -18

Hence, the simplified form of the given expression is -18. The correct option is the third option-  -18

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Answer:

Area = ab

Step-by-step explanation:

Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.

A = a×b

A = ab

All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

Coordinate geometry is the study of geometry using the points in space.

The function is given below.

y = (1/2) x + 1

Then the domain is D: (-8, -4, 0, 2, 6)

Then the ordered pair will be

For x = -8

y = (1/2)(-8) + 1

y = -3

For x = -4

y = (1/2)(-4) + 1

y = -1

For x = 0

y = (1/2)(0) + 1

y = 1

For x = 2

y = (1/2)(2) + 1

y = 2

For x = 6

y = (1/2)(6) + 1

y = 4

All ordered pairs for the values in the domain will be (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

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Answer:

x = -6

Explanation:

⇒ 9(x + 3) = 4x - 3​

apply distributive method: a(b + c) = ab + ac

⇒ 9(x) + 9(3) = 4x - 3

multiply variables

⇒ 9x + 27 = 4x - 3

collect like terms

⇒ 9x - 4x = -3 - 27

subtract like terms

⇒ 5x = -30

divide both sides by 5

⇒ x = -6

Answer:

x = -6

Step-by-step explanation:

distribute 9(x+3) = 9x+27

9x+27 = 4x-3 subtract -27 and -4x on each side

9x-4x = -3-27 combine like terms

5x = -30 divide by 5

x = -6