Which of the following is equal to the rational expression when x ≠ -2 or 3?

The domain of the equation A = 25/ ( y - 9 ) is y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 25/ ( y - 9 )   be equation (1)

when y = 0 , the equation is undefined

So , the domain of the function will be y < 9 or y > 9 and the interval notation is ( -∝ , 9 ) ∪ ( 9 , ∝ )

Hence , the domain is ( -∝ , 9 ) ∪ ( 9 , ∝ )

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Answer:

Step-by-step explanation:

The answer is Graph B.

First the equation needs to be in standard form.

x² + 8x= -20

becomes    y = x² + 8x + 20

The leading coefficient is positive - a positve one is in front of the x.

So the parabola opens upward.

solve for the x coordinate of the minimun by using the formula

x = -b/2a

x = -8/2(1) =  - 8/2 =   -4

substitute -4 into the original equation.

y = (-4)² + 8(-4) + 20

y = 16 + -32 + 20

y = -16 + 20

y = 4

so the minimun - or bottom of the parabola is (-4, 4)

Correct choice is graph B

a) 100%
b) 19/50 or 38%

This is an example of stratified sampling.

Samples may be classified as:

For this problem, we have that the population was divided into groups, hence either cluster or stratified sampling was used.

As an equal proportion of each group was sampled instead of the entire group, stratified sampling was used.

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Step-by-step explanation:

Each beetle has 6 legs with 7 beetles

So 6 legs 7 times would be 6x7

And 6 multiplying by 7 is 42

In 7 beetles there are 42 legs.

The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.

Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.

Angles that add up to 90 degrees are said to have complementary angles.

As a consequence, the value of factor y will be determined using the information provided:

x + y = 90°

3y - 70° + y = 90°

Collect like terms

3y + y = 90° + 70°

4y = 160°

y = 160/4

y = 40°

Angle y has a value of 40°.

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Answer:

BD = 2.4

Step-by-step explanation:

the answer can be easily found by using pythagoreans theorem.

BD = height (h)

3 = SqrRt ( 1.8² + h² )

3² = 1.8² + h²

9 - 1.8² = h²

5.76 = h²

h = 2.4

Answer:

Step-by-step explanation:

Perimeter of the rectangle= 42 cm

                               Length= x

                              Breadth= y

                                  2(x+y)= 42

                                     x+y= 42/2= 21 (Let it be the first equation)

Perimeter of the triangle= 36 cm

                         x+y+2y-3= 36 cm (Let it be the second equation)

Substitute equation 1 in 2.

 x+y+2y-3= 36

⇒ 21+2y-3= 36

            2y= 36-21+3

            2y= 18

              y= 18/2

              y= 9

x+y= 21

x+9= 21

   x= 21-9

   x= 12

∴ the values of x and y are 12 and 9 respectively.

Answer:

10,5625

Step-by-step explanation:

S (triangle) = 1/2 * a * h

a= 3 1/4 = 3.25

h = 6 1/2= 6.5

=> S= 10,5625

Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

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Answer:

138

Step-by-step explanation:

720 - all the angles added up gives you the missing angle

Answer:

x = 138°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

sum the interior angles and equate to 720°

x + 85° + 135° + 125° + 85° + 152° = 720°

x + 582° = 720° ( subtract 582° from both sides )

x = 138°

The expression shows how to find out how much a repair will cost  is 45 + 55x

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Total charges = Tow + Rate per hour * x

Substitute the known values in the above equation, so, we have the following representation

Total charges = 45 + 55x

Hence, the expression is 45 + 55x

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After buying x bottles of water, the money will remain in her checking account is equals to the $(250 - 2x). So, the correct answer is option (b).

We have Denise has a checking account.

The amount on her checking account = $250

The price of each water bottle = $2

Number of boltes bought by Denise = x

Let the total remaining money after the spend by Denise on water bottles be " $y". Total cost of x bottles = number of bottles × cost of one bottle

= x× $2 = $ 2x

We have to determine the value of y. The money remaining in her account = total amount in her checking account - spends money

=> y = $ 250 - $2x

which is a two variable linear equation, when we know that how many bottles she buy, i.e., value of x then we will determine the value of y. So, the required value is $ 250 - $2x .

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Complete question:

Denise has $250 in her checking account. Each time she buys a bottle of water, she spends $2. If Denise buys

x bottles of water, how much money will remain in her account?

a) $ 250 + $2x

b) $ 250 - $2x

c) $250

TRUE .The domain of the function is all real numbers.

FALSE , The range of the function is (0, [infinity]).

FALSE, The y-intercept is (0, 0).

FALSE , The center of symmetry is (0, 8).

True. The function f(x) = 2x^3 + 8 can take any real number as input and produce a real number as output.

False. The range of the function is all real numbers greater than or equal to 8, i.e., [8, [infinity]).

False. The y-intercept of the function is (0, 8), meaning that when x = 0, the output of the function is 8.

False. The function f(x) = 2x^3 + 8 does not have a center of symmetry, as it is an odd degree polynomial.

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The expression 32.6/10 - 5 x 8 - 9.16 + 88.9 has the value of 43.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Let's the expression to be found be "y".

An expression that, when evaluated, gives us a value of 43 is required.

Start by manipulating the given expression to isolate the value of "y".

Use the order of operations (PEMDAS) to simplify the expression -

32.6/10 - 5 × 8 - 9.16

3.26 - 40 - 9.16 (since 5 × 8 = 40)

-45.9

So the value of the given expression is -45.9.

To make the expression equal to 43, add a constant term to it -

y = 32.6/10 - 5 × 8 - 9.16 + 88.9

Evaluate this expression -

y = 3.26 - 40 - 9.16 + 88.9

= 43

Therefore, the expression obtained is 32.6/10 - 5 x 8 - 9.16 + 88.9.

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The proportion of minor arc ZPSR is equivalent to 48 degrees.

Given a circle Q with focus Q and minor curve PR with a proportion of 48 degrees, the objective is to find the proportion of ZPSR, the focal point that compares to the minor circular segment PR.

Since the focal point and the circular segment length of a circle are corresponding, the proportion of ZPSR can be found by partitioning the proportion of the minor curve PR by 360 degrees and afterward duplicating by the all out number of degrees all around, which is 360.

The recipe for the focal point comparing to a minor circular segment is given by:

mZPSR = (mPR/360) × 360

Subbing the given worth of mPR = 48, we get:

mZPSR = (48/360) × 360

= (1/7.5) × 360

= 48

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Let's call the number of first-class tickets Sarah purchased x. Then the number of coach tickets purchased is 9 - x.

The total cost of the first-class tickets was x * $980 and the total cost of the coach tickets was (9 - x) * $120.

The total budget for airfare was $6240, so we can set up the following equation:

x * $980 + (9 - x) * $120 = $6240

Solving for x, we get:

x = 5

So, Sarah purchased 5 first-class tickets and 9 - x = 4 coach tickets.

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The number of cases they go through in (x > 18.75 ) 30 days is greater than 18.75.

In this problem, Renata and her family go through an average of more than 15 cans of sparkling water each day. This means that in 30 days, they will go through a total of more than 15 * 30 = 450 cans of sparkling water.

They buy the sparkling water in cases of 24 cans each, and each case costs $3.5. To calculate the number of cases they need to buy, we divide the total number of cans they need by the number of cans in each case.

450 cans ÷ 24 cans per case = 18.75 cases

Since they need to buy more than 18.75 cases, we use the inequality symbol ">" to express this as:

x > 18.75

where x represents the number of cases of sparkling water they go through in 30 days.

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To form the smallest number, use the smallest digits first. The smaller digits are on the left. The larger digits are on the right.

Consider this smaller example of 23 vs 32.

One foot is equal to 12 inches in the customary system.

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Yes, Emma is correct. The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

2(3w-6) = 6w - 12

2(3w-6)

2 • (3w - 6)

2 • 3w - 2 • 6

6w - 12

The expression 2(3w-6) can be expanded by first multiplying the two together. This is done by multiplying the coefficient of 2 with each of the terms inside the parentheses. This results in 2 • 3w - 2 • 6. Next, the terms inside the parentheses can be combined. Since they are both being multiplied by 2, we can simply add the two terms together, resulting in 6w - 12. Thus, the expression 2(3w-6) can be expanded to 6w - 12.The expression 2(3w-6) represents two times the difference of three times w and six. w can represent any amount of money, so this expression represents twice the amount of money that Juan spent.

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Erik’s average speed in miles per hour is  114. 04 miles per hour

Average speed can simply be defined as the total distance that is traveled by the object in a particular time range.

It is also known as a scalar quantity, that is, it has magnitude but no direction.

From the information given, we have that;

The formula for average speed is expressed as;

Average speed = Distance/ time

Substitute the values, we get;

Average speed = 2623/23

Divide the values, we get;

Average speed = 114. 04 miles per hour

Hence, the value is 114. 04 miles per hour

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Answer:

1.25

Step-by-step explanation:

To get your answer first multiply the $25 by 5% then you will get 1.25 as your answer.

Answer:

Step-by-step explanation:

It can be modeled by the equation:

y = x + 0.05x

So, Keenan pays about $398.02

28 walnuts and 20 chocolate chips are the combinations that the baker can use.

X stands for the total number of possible walnuts and y stands for the number of potential chocolate chips.

From the graph we can see:

a) 25 chocolate chips and 33 walnuts

Specifically, points (33,25) on the graph are outside the shaded region or the feasible region.

Therefore, it cannot be a solution.

b) With 10 chocolate chips and 45 walnuts.

i.e., the coordinate point (45,10) also lies outside the shaded area, making it impossible for this to be a solution to the problem.

c) The given problem will have an answer at point (28,20), which is located inside the shaded area.

d)  with 12 chocolate chips and 55 walnuts.

Point (55, 12) is not a viable solution because it lies outside the shaded area.

Hence, 28 walnuts and 20 chocolate chips in combination are the ones baker can use.

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The full question is:

The triangular region shows the number of possible walnuts, x, and the number of possible chocolate chips, y, a baker can use in a recipe.

Which combination of walnuts and chocolate chips can the baker use?

A. 33 walnuts and 25 chocolate chips

B. 45 walnuts and 10 chocolate chips

C. 28 walnuts and 20 chocolate chips

D. 55 walnuts and 12 chocolate chips

Answer:

9.79

Step-by-step explanation:

12 × 8 and root of that is 9.7979589

The supplied document states that Juan must pay $265.32 in total for the instrument.

Any transaction in which goods or services are exchanged for cash is referred to as a sale. In other words, a transaction is any activity that involves transferring ownership of a good or service to the buyer in exchange for cash.

The instrument costs $329.99 at standard pricing.

$329 * 25% = $82.50

The guitar's discount price is thus $329.99 less $82.50, or $247.49.

7.25% of the purchase price is used to compute sales tax.

Therefore, $247.49 * 7.25% = $17.83

As a result, we eventually tack on the taxation to the purchase price to determine Juan's final obligation to pay for the guitar.

$247.49 + $17.83 = $265.32

The total price that Juan shall pay for something like the guitar is thus $265.32.

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Answer:

First Two Options

Step-by-step explanation:

A true statement on the mean number of lessons for the dogs is The mean number of lessons for group A is greater than the mean for group B by 1 MAD.

The difference in the mean number of lessons between the two groups being Group A and Group B is :

= Mean number of lessons Group A - Mean number of lessons Group B

= 5 - 3

= 2

The mean absolute deviation for Group B is 2. The mean number of lessons of group A related to this is :

= 2 / 2

= 1

This shows that the mean number of lessons for group A is greater than the mean for group B by 1 MAD.

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The full question is:

Mean number of lessons Mean Absolute Deviation (MAD)

Group A 5

Group B 3

2

2

Which statement about the data is true?

A. The mean number of lessons for group A is greater than the mean for group B by 1 MAD

B. The mean number of lessons for group A is greater than the mean for group B by 2 MAD

C. The MAD for group A is more than the MAD for group B

D. On average, the dogs in group B required more lessons than the dogs in group A

Answer:

Step-by-step explanation:

To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.

In this case:

Journey distance = 12714 km - 12138 km = 576 km

So the journey was 576 kilometers.

The percentage of students who like chicken nuggets is 97%, which is equivalent to 97 students.

To better understand this question, let's simplify some of the information given:

4/7 out of the girls liked the chicken nuggets = 0.57 or 57% of the girls

40% of the boys liked the chicken nuggets = 0.40

Based on this information, it can be concluded that 97% of students liked chicken nuggets. Moreover, if the population includes 100 students, this percentage will be equivalent to 97 students.

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