The function y=3√-x-3 is graphed only over the domain of {x 1-8 ≤x≤ 8). What is the range of the graph?

The inequality that can be used to determine the maximum number of outfit she can purchase is 55.17oo  ≤ 117.47.

The first step is to determine which inequality sign would be used.

The following are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is the less than or equal to sign- ≤  . This is because Audrey cannot spend more than her budget.

The next step is to determine the total cost of items bought:

Total cost = $295.33 + (17.86 x 3) + 33.62 = $382.53

Now determine the amount of money she has left : $500 -  $382.53 = $117.47

(Total amount spent on outfit) amount left

(oo x $55.17)  ≤ 117.47

55.17oo  ≤ 117.47

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Answer:

C,D, and E

Step-by-step explanation:

-29/4 is an improper fraction version of -7 1/4

-7- 1/4 = -7 1/4

-(7 + 1/4) is -29/4

Just make -29/4 into a mixed number, which is -7 1/4

Answer:

Step-by-step explanation: the answer is the last 3 ones because if you add them together, you get -7 1/4.  Remember that -(number) = -1(number). So, -(1) = -1(1).

If the tire says P235/65R17, the diameter of your wheel will be 17 inches.

The primary purposes of a car's tires are to carry the weight of the car, transmit traction and braking forces to the road surface, insulate against shocks from the road, and change and maintain the direction of motion.

It offers traction for braking and acceleration and reduces the number of road vibrations that reach the car's body.

It should be noted that the numbers that are written on the tire are vital in knowing the diameter that's illustrated.

In this case, when the tire says P235/65R17, the diameter of your wheel will be 17 inches.

In conclusion, it is 17 inches.

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The equation for the nth term of the arithmetic sequence is (6n – 1)

The given arithmetic progression is 5,11,17,23

Here we have been given

                     a = 5

                     d = a2 – a1

                         = 11 – 5

                    d   = 6

The formula for the nth term is given as follows:

           an = a + (n-1)d           (1)

          where, a = first term

                        d = common difference

putting the required values of ‘a’ and ‘d’ in equation (1) we get

      an = 5 + (n-1)6

      an = 5 + 6n – 6

      an = 6n – 1

which is the required equation for the nth term of the arithmetic sequence

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The simplified form of the given expression is 1/9. Therefore, option B is the correct answer.

The given expression is [tex](\frac{(\frac{1}{3})^{7}}{(\frac{1}{3})^{6} } )^{2}[/tex].

We need to evaluate the given expression.

Laws of exponents:

Now, [tex](\frac{(\frac{1}{3})^{7}}{(\frac{1}{3})^{6} } )^{2}=((\frac{1}{3})^{7-6})^{2}[/tex]   (Because [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

[tex]=(\frac{1}{3})^{2}[/tex]

=1/9

The simplified form of the given expression is 1/9. Therefore, option B is the correct answer.

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The correct option is (C) 18.84 in. The circumference of the circle with a diameter 6 in is 18.84 in.

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.

Given, the diameter of the circle = 6 in.

The radius of a circle is calculated as

r = d / 2

r = 6 / 2

r = 3 in

The circumference of a circle is calculated as

C = 2πr

Substitute r = 3 in the circumference formula

=2 × 3.14 × 3

= 6 × 3.14

= 18.84 in

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The circumference of the given circle with a diameter of 6in is 18.84in.

So, the diameter is 6in.

Then, the radius is:

The formula for the circumference of the circle: 2πr

Now, substitute 'r = 3' in the formula of circumference as follows:

Therefore, (C) 18.84 is the circumference of the given circle.

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Answer:

Step-by-step explanation:

A. The common factor of the expression is 5[tex]x^{3}[/tex]y

B. In order to find a common factor, you find the prime factor. In this case, the biggest number that goes evenly into 40 and 25 is 5.

C. Divide the original problem by the common factor  5[tex]x^{3}[/tex]y

that gives you  5[tex]x^{3}[/tex]y(8x[tex]y^{2}[/tex]-5)

Hope this helps!

Answer:

Yes, they are similar as the difference between the smaller rectangle and the larger one is a scale factor of 2.

answer:

yes

explanation:

you can tell if figures are similar (proportional side lengths with points of the same orientation), if you can divide the respective side lengths of the image and preimage together.

The geometric mean between pair of numbers 4√3 and 10√3 is 10.95

We know that for a sequence of numbers x1, x2, . . . , xn

The formula of geometric mean is,

[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]

In this question, we have been given two numbers 4√3 and 10√3

We need to find the geometric mean between pair of numbers, 4√3 and 10√3.

Using the formula for the geometric mean,

[tex]\Pi=\sqrt[n]{x_1.x_2.x_3...x_n}[/tex]

In this question, we have two numbers.

So, the value of n is 2.

[tex]\Pi=\sqrt{4\sqrt{3}\times 10\sqrt{3} } \\\\\Pi=\sqrt{4\times 10 \times \sqrt{3}\times \sqrt{3} } \\\\\Pi=\sqrt{40 \times 3 } \\\\\Pi=\sqrt{120}\\\\ \Pi=2\sqrt{30}\\\\\Pi=10.95[/tex]

Therefore, the geometric mean between pair of numbers 4√3 and 10√3 is 10.95

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The line that passes through the points (6,-4) and (6,-1) is:

x = 6

We want to find the equation of the line that passes through the points (6, -4) and (6, -1)

Now, this is really trivial, as you can see that both points have the same x-value (the x-value is the first value of each coordinate pair), which means that our line is x = constant = 6

Then we have a vertical line:

x = 6

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Step-by-step explanation:

Given that

To find

So, according to the question

we have,

         (0,40) and (15,70)

We have to find the equation of line

So, we know that

               y = mx + c, ---------------(1)

From graph,

           c = 40 and

           m = slope (we have to find it)

We kwon the slope of any two point

      m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

        x₁ = 0 , and y₁ = 40

        x₂ = 0 , and y₂ = 40        

So,

      m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

      m = [tex]\frac{70-40}{15-0}[/tex]

      m = [tex]\frac{30}{15}[/tex]

      m = 2

Now putting the all values in equation (1)

We will get,

               y = mx + c, ---------------(1)

               y = 2x + 40

Answer:

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Answer:

4

Step-by-step explanation:

1,2,3,4

If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object falls during the time 2 seconds is 64 foot

Given,

The algebraic expression off the distance in feet that an object fall= [tex]16t^{2}[/tex]

Where t is time in seconds

Here,

Time t= 2 seconds

Substitute the values in the expression

[tex]16t^{2}=16(2)^{2}[/tex]

=64 foot

Hence, if the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance of the object falls during the time 2 seconds is 64 foot.

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Significant digits are all non-zero numbers. The numbers are none of the zeros significant is 3100.

Significant figures in positional notation are the digits in a number that may be trusted to accurately represent how much of something there is.

Only the digits allowed by the measurement resolution are reliable, and only these can be significant figures if a measurement result is reported as a number with more digits than those allowed by the measurement resolution.

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Main Answer:

The required value of PB is 21.

An equation is a mathematical statement with an equal symbol between two expressions that have equal values.

Given: If A-P-B and if AP=2x-9, AB=32, and PB=1.5x+6.

To find: Find PB.

According to the question,

AP + PB = AB

On putting the given values, we get,

(2x-9)+(1.5x+6) = 32

2x - 9 +1.5x + 6 = 32

3.5x - 3 = 32

3.5x = 32+3

3.5x= 35

x=10

Now, we will substitute the value of x=10 in the equation, we get,

PB= 1.5x+6

PB= 1.5 × 10 + 6

PB=15 + 6

PB=21

Final Answer:

The simplified value of PB = 1.5x + 6 is 21.

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Answer:

x = -2

Step-by-step explanation:

Step 1: Distribute

-4(x + 7) + 2(2 + x) = -20 ---->  -4x-28 + 4+2x=-20

Step 2: Combine Like Terms

-4x-28+4+2x=-20 ----> -2x-24=-20 ----> -2x=4

Step 3: Divide both sides by -2, solving for x.

-2x=4 ----> -2/-2x = 4/-2 ----> x = -2

The number of lines located on plane A using the given diagram are 4.

As given in the question,

Number of lines located on plane A are as follow:

Point outside the plane A are T, W, S

Points located on plane A are as follow:

V, M, N, P

Lines formed by located points V, M, N, P on plane A

VM, VN, VP and MP

Therefore, number of lines located on plane A using the given diagram are 4.

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The simplification by combining like terms  of 3a + b + a is 4a + b.

According to the given question.

We have an expression 3a + b + a.

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression  3a + b + a.

Here 3a and a both are the like terms.

So, we add coeffcients of a to simplify the given expression.

Therefore, the simplification of 3a + b + a is given by

3a + b + a

= 3a + a + b

= 4a + b

Hence, the simplification by combining like terms  of 3a + b + a is 4a + b.

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Add or subtract.Simplify where possible.

[tex]\frac{4}{x^{2}-36} +\frac{x}{x-6}[/tex] =  [tex]\frac{4+x^{2}+6x}{(x+6)(x-6)}[/tex]

How the given expression is simplified?

[tex]\frac{4}{x^{2}-36} +\frac{x}{x-6} \\\\\text{On taking LCM of the denominator}\\\\\frac{4}{x^{2}-36} +\frac{x^{2}+6x }{x^{2}-36}\\\\\frac{4+x^{2}+6x}{x^{2}-36}\\\\\frac{4+x^{2}+6x}{(x+6)(x-6)}[/tex]

What is simplification?

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The formula for finding any term of the given sequence is [tex]a_{n}[/tex] = [tex]n^3[/tex].

According to the given question.

We have a sequence

-1,1,-1,1,-1,1....

As we know that, a sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.

The above of given sequence -1,1,-1,1,-1,1,.....  is following a rule i.e. each term is the cube of its number of term.

Here,

The first term is -1, so the cube of -1 is -1.

The second term is 1, so the cube of 1 is 1.

So, the nth term of the given sequence is [tex]n^{3}[/tex].

Therefore, the formula for finding any term of the given sequence is given by

= [tex]n^3[/tex]

Where, n = Therefore, the formula for finding any term of the given sequence is given by

 = [tex]n^3[/tex]

Where, n =  -1,1,-1,1,-1,1, .......

So, for n = -1

The first term will be -1.

for n =1

The second term will be 1

for n= 1

The fourth term will be 1 and so on .

Hence, the formula for finding any term of the given sequence is [tex]n^3[/tex].

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In the given sequence, the next term is obtained by multiplying the next term by (-1), hence it is a geometric sequence with r = 1. The next two terms are 3, -3.

Arithmetic sequence.

In a arithmetic sequence, the next term = the previous term + common difference. Or mathematically:

a(n) = a(n-1) + d

or d = a(n) - a(n-1) for all n

Where d = common difference.

Geometric sequence.

In a geometric sequence,  the next term = the previous term x common ratio. Or mathematically:

a(n) = a(n-1) . r

or r = a(n)/a(n-1) for all n

Where r = common ratio

The sequence given:

           3,-3,3,-3, . . . . .

In this sequence:

a(1) = 3

a(2) = -3

a(3) = 3

a(4) = -3

The next two terms means a(5) and a(6). We already have a(4) = -3. Hence,

a(5) = a(4) . r = -3. (-1) = 3

a(6) = a(5) . r = 3. (-1) = -3

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This sequence follows the rules of Arithmetic Progression

Arithmetic Progression is an example of mathematical sequences. In this sequence, the next term is generated by adding the previous term to a fixed number which is called 'Common Difference'. This is generally represented by 'd'. It is calculated by subtracting any two consecutive terms in the sequence.

We can generally find out any term of the given statement. The  [tex]n^{th}[/tex] term of a sequence is calculated by adding the previous term to the common difference. The formula to calculate the [tex]n^{th}[/tex] term of an Arithmetic Progression is :

                     =>  [tex]a_{n} = a_{n-1} + d[/tex]

Here, n = No. of term, [tex]a_{n-1}[/tex] = previous term, and d = common difference

In the given sequence, 5,22,39,56......

Each term is separated by a common difference 'd'

Calculating d = a2-a1   => d = 22-5 => d = 17

Every term has a common difference of 17 so this is an Arithmetic Sequence

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Answer:

257757

Step-by-step explanation:

Answer:

300 minutes 0.23c1=44.95+0.08c2

Step-by-step explanation:

According to the given statement the slop of the given points are: -(1/2).

The slope of the line is the mathematical ratio of overall rise to the run, or rise divided by the run. It expresses the slope of a line in the coordinate plane. Calculating the slope of a line is comparable to finding the slope between two separate places.

The procedure for calculating the slope from such an equation will vary based on the form of the equation presented to you. If the equation is written as y=mx+c, the slope (or gradient) is simply m. If the formula does not exist in this form, try rearrangement.

The slope of a line is easily calculated by hand using small, whole number coordinates.

so,

X1 = 7

X2 = 3

Y1 = 2

Y2 = 4

Applying the formula for slope:

slope = (y₂ - y₁) / (x₂ - x₁)

         = (4 - 2) / (3 - 7)

         = 2/(-4)

         = - (1/2)

The slop of the given points are: -(1/2)

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The value of x so that the equation based on a and b has a solution is x = -7/5

  An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

  Equations can be graphed, they are used to model many problems and theories.

     As we can see, we have the following equation:

(a + 2)b + 13 = 5x

  and we have the values of the coefficients a and b, and these are:

   We substitute these values in the equation:

(a + 2)b + 13 = 5x

(18 + 2)-1 + 13 = 5x We solve the equation

(20)-1 +13 = 5x

-20 + 13 = 5x

5x = -7

x = -7/5

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Using translation concepts, it is found that the transformation is a reflection over the y-axis.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:

(x,y) -> (-x,y).

Meaning that the transformation is a reflection over the y-axis.

For O and B, the rules are given as follows:

Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.

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